Able to lose just two tricks, as against three for 4 ♥/♠ and four for 3 NT, the 5 ♣/5 ♦ game contracts really are best avoided, save for those rare occasions where, without a major-suit fit, 3 NT is out for the lack of a stopper in a suit. Even then, 3 NT may be best. Take a suit of three small cards facing three small cards: three losers in 5 ♣/5 ♦ (down), yet probably just four losers (4-3 split) in 3 NT (still a chance of making).
Exercise: You open 1 ♦ and partner responds 3 ♦.
Hand (i) | Hand (ii) | Hand (iii) |
♠ A 10 2 ♥ K J 2 ♦ A Q J 8 2 ♣ Q 2 |
♠ A 9 ♥ K 2 ♦ A Q 9 7 4 3 ♣ Q 6 2 |
♠ K 2 ♥ 3 ♦ K J 10 4 3 2 ♣ A Q 10 6 |
Answers:
(i) Bid 3 NT. Balanced hand with stoppers in both majors. Clubs are dicier, but partner may well have four cards (he would not normally suppress a four-card major, though).
(ii) Bid 3 NT. Assuming diamonds provide six tricks (facing the king), just three more are needed for 3 NT; but five more for 5 ♦.
(iii) Bid 5 ♦. This time 3 NT would be madness – given the singleton heart in the very unbalanced hand.
Click to play this deal
South Deals None Vul |
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West | North | East | South |
1 ♦ | |||
Pass | 2 ♦ | Pass | 2 NT1 |
Pass | 3 NT2 | Pass | Pass |
Pass |
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3 NT by South |
Lead: ♠ 5 |
On our featured deal, 5 ♦ would have stood no chance – indeed nine tricks would be the limit. There were nine tricks in another contract too – namely 3 NT – but those tricks gave N-S game...
West led a normal ♠ 5 – only an abnormal club to East’s king followed by a spade switch from the East side would have scuppered the notrump game. Declarer beat East’s ♠ K with ♠ A and noted how useful that ♠ 10 was.
Rightly anticipating that dummy would be squeezed on the sixth diamond if those winners were taken first, declarer led straight back ♠ 10. West won ♠ Q and switched to ♥ 9 (best). Declarer was not going to take risks – play low and East wins and the defence promptly take three club tricks. He rose with ♥ A, cashed ♠ J and followed with the six diamond winners. Nine tricks and game made.
Apart from the suit overcall, the take-out double is the most common way into the auction after an opponent has opened. Indeed if anything it is underused, for it is a call partner loves to hear, ‘what suit do you want to be trumps, partner?’ it asks. The requirements for a take out double use the acronym SOS:
S Support (3+ cards) for all unbid suits.
O Opening Points or more
S Shortage (two cards or fewer) in the suit opened.
You do not need to be an absolute slave to the SOS criteria.
(1 ♦ )-?
Hand (i) | Hand (ii) | Hand (iii) | Hand (iv) |
♠ Q 9 8 2 ♥ K J 9 8 ♦ 4 2 ♣ A J 10 |
♠ A 6 4 3 ♥ A K 6 2 ♦ 9 7 4 ♣ K 8 |
♠ Q J 2 ♥ A J 9 8 4 ♦ 2 ♣ A K 7 3 |
♠ J 7 3 ♥ K 9 7 ♦ A Q ♣ A Q 8 5 2 |
Dbl | Dbl | 1 ♥ | 1 NT |
(i). Whilst you do not quite have opening values (very close, though, with such good intermediates), it is clearly winning Bridge to double, given that you have an ideal shape with both four-card majors.
(ii). [See featured deal]. You would prefer one more club and one fewer diamond, but should not let that deter you from doubling. Partner will strain to respond in a major.
(iii). Better bid 1 ♥ , to show the five-card major. Should the bidding proceed along the lines of: (1 ♦ )-1 ♥ -(2 ♦ )-P-(P)- now you can double (still for take-out – as partner has not bid).
(iv). 1 NT (15-19 as an overcall) is far more goal-oriented (the goal being the most likely game of 3 NT) than double. The second diamond stopper is the clincher.
Click to play this deal
West Deals Both Vul |
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West | North | East | South |
1 ♦ | Dbl1 | Pass | 2 ♥2 |
Pass | 4 ♥3 | Pass | Pass |
Pass |
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4 ♥ by South |
Lead: ♦ A |
West led ♦ AK, all following, then cleverly led ♦ 8 (not ♦ Q) as he wanted his partner to ruff, hopefully with a trump that would promote ♥ 1097. East did ruff with ♥ J and now came the key moment. If declarer overtrumped with ♥ Q, ♥ 1097 would indeed win a later trick. Together with the unavoidable spade loser that would mean declarer lost four tricks: down one.
Given that the spade loser was unavoidable, declarer discarded ♠ 8 on ♥ J (key play). He could win any return, cash ♥ AKQ drawing West’s trumps and claim his game.
Bidding 1 NT as an overcall shows about 15-18(19) points, balanced(ish) hand with a stopper(s) in the suit opened.
(1♦ )-? |
Hand i) | Hand ii) | Hand iii) |
♠ Q 6 2 ♥ K 7 ♦ Q J 2 ♣ A K Q 8 4 |
♠ Q 2 ♥ A J 8 4 ♦ 9 7 4 ♣ A K 3 2 |
♠ A K 7 3 ♥ Q 9 6 2 ♦ A 4 ♣ K 10 8 |
1 NT | Pass | Double |
Hand (i) is a classic 1 NT overcall – balanced 15-19 with a diamond stopper (third-round but that’s fine). Note that it’s far better to bid 1 NT than 2 ♣ – you’ll get to your most likely game (by far) of 3 NT much more easily. This is because 1 NT shows the strength of your hand whereas 2 ♣ does not (about 8-18).
With Hand (ii) you are stymied. You would have opened the bidding 1 NT, but now have no convenient bid. Double (for take-out) is too risky as you have insufficient spades. Just pass – you may have a chance to enter the auction later.
With Hand (iii) you might bid 1 NT – you satisfy all the criteria. However with such a tenuous diamond stopper – the ace will soon be forced out and then what? – and with four cards in both majors, I would certainly double. Most of the time you’ll locate a nice little 4-4 major fit.
The best policy when responding to a 1 NT overcall is to use the same system as you do over a 1 NT opener (Stayman and Transfers recommended). Because partner has shown at least 15 points, you’ll only need 10 for game.
Click to play this hand
East Deals None Vul |
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West | North | East | South |
1 ♥ | 1 NT1 | ||
Pass | 2 ♥2 | Pass | 2 ♠2 |
Pass | 3 NT3 | Pass | Pass |
Pass |
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Lead: ♥ 10 |
West led ♥ 10 and declarer made the key play of rising with dummy’s ♥ Q. If dummy had played low, East would have ducked the trick round to ♥ K; when declarer later lost the club finesse to West’s ♣ K, ♥ 4 through ♥ Q9 would seal his fate. By rising with ♥ Q, East had to win ♥ A, but was unable profitably to continue the suit (due to dummy’s ♥ 9).
At trick two East switched to ♣ 9, to ♣ J and ♣ K. West reverted to ♥ 4 (best) to ♥ 2, ♥ 8, ♥ K and declarer needed to pick up diamonds. He knew by now East held both ♠ K and ♦ K (for his opening bid) and had to hope ♦ K was doubleton. He crossed to ♠ A (no finesse) and led ♦ 2 (not ♦ Q) to ♦ J. He cashed ♦ A and saw ♦ K fall (good!). He crossed to ♦ Q, back to ♣ AQ and tabled ♦ 65. Nine tricks and game made.
One of the main reasons for overcalling is to disrupt opposing bidding. If you have a fit for partner’s overcall, then you should make their life more awkward. And the more cards you have in partner’s suit the more you should bid.
A simple and effective approach, making a proper nuisance of your self without too great a risk of being doubled and going down too expensively, is to bid to the level of the fit. Work out how many cards your partnership hold – putting partner with five cards for the overcall – and bid for that number of tricks.
(1♦) |
1♠ |
(2♣) |
?? |
Hand i) |
Hand ii) |
Hand iii) |
♠ J 6 2 ♥ 7 2 ♦ A 4 3 2 ♣ 9 8 6 2 |
♠ Q 10 4 2 ♥ 6 2 ♦ 9 7 4 3 2 ♣ K 8 |
♠ K 7 5 4 2 ♥ J 9 8 4 ♦ 2 ♣ J 10 7 |
2♠ |
3♠ |
4♠ |
As you see, your bid does not show any points. In fact the fewer points you have, the more likely the opponents can make a high contract and that your disruptive tactics will pay off.
Take the third hand. You may end up in 4 ♠ with as few as 11 or 12 combined points. You may get doubled and go two down (unlikely more, given your ten-card spade fit plus side singleton). This is normally better Bridge than letting the opponents bid and make a game. However be a tad more cautious (a) if vulnerable (doubled vulnerable undertricks are quite costly) and (b) if very flat. If I was vulnerable and my shape was 5332 not 5431, I’d probably only bid 3 ♠, not 4 ♠.
East Deals None Vul |
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West | North | East | South |
1 ♦ | 1 ♥ | ||
1 ♠ | 4 ♥1 | All pass2 |
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4 ♥ by South |
Lead: ♦ Q |
West led ♦ Q, his partner’s suit, winning the trick. ♦ 6 went to ♦ 10 and East tried ♦ A. Declarer ruffed high, drew trumps finishing in dummy and led ♠ 2 towards ♠ K. East rose with ♠ A and cashed ♣ K, but declarer had the remainder.
Down one and a meagre +50 to E-W was scant compensation for the 4 ♠, 5 ♣ and 5 ♦ games which they could have made (4 ♠ fails on ♣ 2 lead). Indeed E-W can make 6 ♣ (unless it’s played by West and North leads an unlikely spade). Played by East on two rounds of hearts, declarer ruffs, draws trumps in four rounds (throwing ♠ 6), then runs ♦ Q. With North holding ♦ K, the suit runs. Slam made. click here to try to make 6 clubs on these cards.
In any defensive bidding situation – where you believe the opponents to own more strength – your partnership should bid to the level of the fit. Take this example (Neither vul)
(1 ♣) |
1♦ |
(1♥) |
2♦ |
(Pass) |
?? |
Hand i) |
Hand ii) |
Hand iii) |
♠ 2 ♥ J 9 7 ♦ A Q 9 7 3 2 ♣ K 10 6 |
♠ 9 ♥ K 2 ♦ K J 9 7 4 3 2 ♣ K Q 8 |
♠ Q 2 ♥ Q 8 4 ♦ A K 7 4 2 ♣ Q 9 7 |
3 ♦ |
4 ♦ |
Pass |
Presume partner for three diamonds.
Look at it another way. Your partner thinks you have five diamonds and has bid to the presumed level of the fit on that basis. For each diamond you have above five, you should bid up an extra level. Take this example (Neither vul)
(1♥) |
1♠ |
(2♥) |
3♠ |
(4♥) |
?? |
Hand iv) |
Hand v) |
Hand vi) |
♠ K J 8 4 3 2 ♥ 9 7 ♦ A 3 2 ♣ K 6 |
♠S A Q 8 4 2 ♥ K 2 ♦ K J 9 ♣ 10 8 4 |
♠ K Q J 6 2 ♥ 4 ♦ K J 9 4 2 ♣ Q 7 |
4 ♠ |
Pass |
4 ♠ |
East Deals None Vul |
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West | North | East | South |
1 ♣ | 1 ♦ | ||
1 ♠ | 3 ♦1 | Pass | 4 ♦2 |
Pass3 | Pass | Pass |
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4 ♦ by South |
Lead: ♣ Q |
West led ♣ Q, East overtaking with ♣ K and cashing ♣ AJ. At trick four East switched to ♠ J, declarer winning ♠ A, drawing trumps finishing in dummy and leading ♥ 3. East played low (in case declarer misguessed by playing ♥ J from ♥ KJ), and declarer’s ♥ K won.
Declarer conceded a heart and claimed. Nine tricks and down one.
So why didn’t South pass 3 ♦ (a making contract)? Because West would have bid 3 ♥ , East would have raised to 4 ♥ and E-W would have made game.
Let’s go back to basics. The most basic competitive decision is whether to bid your suit (overcall) after an opposing opening bid. Your shape and strength is a factor. but most important by far is the quality of your suit. Why?
You have less time to find a fit than the non-opening side. If your suit is known to be good, partner can freely support it in the auction and lead it in defence. Plus if partner has a bad hand without support, nothing too bad can happen if you’re left in your overcall (doubled?).
Here is the Suit Quality Overcall Test, a rough-and-ready guideline (not intended to be a hard-and-fast rule), otherwise known as SQOT:
Add the number of cards in your suit (minimum number five) to the number of honours in the suit (counting one for each of the A, K, Q, J & 10) to give you your Suit Quality Count (SQC). This should get to at least as many as the tricks you’re bidding for.
♠ A10852: SQC seven: bid 1 ♠. |
♥ KJ1052: SQC eight: bid up to 2♥. (bid 1♥ over say 1♦ , 2♥ over say 1 ♠). |
Note that SQOT only applies at your first turn and that it does not mention your overall point-count. This is far less important, because your primary motivation for the bid is disruption, plus giving partner a lead. However to avoid bidding too frivolously, you should have at least six points in your hand for a one-level overcall (and eight or nine unless your suit is really good say ♠ KJ1098); and you should have at least about eight points in your hand for a two-level overcall (and 11 or 12 unless your suit is really, really good say ♣ AQJ962).
South Deals Both Vul |
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West | North | East | South |
1 ♦ | |||
Pass1 | 1 ♥ | 1 ♠2 | 3 ♦ |
Pass | 3 ♥ | Pass | 3 N3 |
Pass | Pass | Pass |
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3 NT by South |
Lead: ♠ 7 |
3 NT would have romped home on West’s normal ♣ 6 lead. East having bid spades, however, he led ♠ 7, trick one going ♠ 7, ♠ 10, ♠ Q, ♠ 6, declarer correctly ducking. East needed to put his partner back on lead for a second spade through dummy’s ♠ J3 and he found the one winning card: ♥ 5. He expected declarer to have just one heart on the bidding so this looked clearly best.
West won ♥ A and reverted to ♠ 4, to ♠ 3, ♠ 9 and ♠ A. Declarer led ♦ K, but West won ♦ A, led ♥ 2 over to K and East cashed ♠ K52. Down three.
South | West | North | East |
1♥ | 1♠ | 3♥* | 3♠ |
?? |
*Limit raise, four hearts & about 10-11 pts or an upgrade.
Hand i) | Hand ii) | Hand iii) |
♠ Q T ♥ A J 9 7 4 ♦ K J 4 2 ♣ Q J |
♠ A 3 ♥ A 9 6 4 2 ♦ K 9 7 4 ♣ K8 |
♠ 2 ♥ A J T 4 2 ♦ K J 7 4 2 ♣ A 7 |
(i) Pass. What junk! ♠ Q10 might as well be ♠ xx – ♠ Q10 is worse in fact as these are cards the opponents don’t have (so they’ll have compensating values/shape elsewhere).
(ii) 4 ♥ . You expect to make this most of the time. You have good defence to 4 ♠ and little chance of making 5 ♥ , so you will double their 4 ♠. You do not need to involve partner in the judgement process.
(iii) 4 ♦ . If you bid 4 ♥ , the opponents will surely bid 4 ♠. Whether it is right for your side to bid on 5 ♥ will depend largely on partner’s diamonds. So bid a natural (not slam try) 4 ♦ enlisting partner’s cooperation.
South Deals None Vul |
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West | North | East | South |
1 ♥ | |||
1 ♠1 | 3 ♥2 | 3 ♠3 | 4 ♦4 |
4 ♠ | 5 ♥5 | Pass | Pass |
Pass |
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5 ♥ by South |
Lead: ♣ A |
West cashed ♣ AK and switched to ♠ J. Winning ♠ A, declarer drew trumps and reflected that West having just one heart made it more likely he had longer diamonds; plus East’s 3 ♠ bid on skinny values suggested a singleton diamond.
Declarer cashed ♦ K, finessed ♦ 10 (key play – East discarding), cashed ♦ A, ruffed ♠ 3, ruffed ♦ 9, ruffed ♠ 4 and cashed ♦ J. 11 tricks and game made.
Dummy is tabled and you must, must, must count your top tricks. Work out how many extra tricks you need for your contract and focus on those straight away – do not be a hare and cash those top tricks; rather be happy to play lose-to-win Bridge (like the tortoise). The three basic methods of making extra tricks are:
(A) By Force. Using sequences, where you have more cards in the sequence than the number of missing higher cards.
Eg | ♦ 10 8 3 2 |
------ | |
♦ J 9 4 |
Provided you can afford to lose the lead, these are risk-free. All six diamonds could be in one hand (above) and you’d still promote one card in the four-card sequence once ♦ AKQ have been forced out.
(B) By Length. Exhausting the opponents of their cards in a suit in which you have greater length (typically a five-card suit), so promoting your twos and threes. The opposing split is all important.
Eg | ♣ A Q 4 3 2 |
----- | |
♣ K 5 |
Play ♣ K & ♣ 2 first – high from the shorter length / low from the longer length, then ♣ 5 over to ♣ AQ. You hope for a 3-3 split (two length winners), but even on a (more likely) 4-2 split, you can give up the fourth round to promote a fifth round length winner.
(C) By Position (the Finesse). Card promotion based on the relative position of the card(s) you are hoping to promote and the opposing higher card(s). Lead from the opposite hand to your card, hoping the opposing higher card is in the second hand, playing before.
Eg | ♥ A Q |
---- | |
♥ 3 2 |
Lead ♥ 2 to ♥ Q, hoping ♥ K is on your left.
South Deals None Vul |
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West | North | East | South |
1 ♥ | |||
Pass | 2 ♣ | Pass | 2 NT |
Pass | 3 NT | Pass | Pass |
Pass |
3 NT by South |
On our deal you count six top tricks and must tackle clubs, involving finessing and length. Win the spade lead with the ace, to preserve the king as a later dummy entry. Now play to the ten of clubs (Principle: finesse against the lower missing card first). The ten wins (good), so cross to the king of hearts and lead to the queen of clubs. Next cash the ace, East discarding, give up a fourth club to West and win his (say) spade return with dummy’s king. Now cash the long club and cross to your two aces. Nine tricks and game made.
When you have just one certain stopper (typically the ace), subtracting the number of cards you and dummy have from seven tells you how many times to duck. The purpose of the rule is to exhaust the leader’s partner of cards of the suit. However it is one of my least favourite rules (indeed it is a complete misnomer to call it a ‘rule’).
First of all, The Rule of Seven only applies when you have just one certain stopper, no more, no less, and if I had a pound for everybody I have seen use it in inappropriate situations, I would be ...[fill in analogy connoting wealth].
a) | ♥ 7 4 | b) | ♠ 8 2 | |||
♥ 6 led | ---- | ♥ K | ♠ 5 led | ---- | ♠ Q | |
♥ A J 10 | ♠ K 7 3 |
In (a) if you beat ♥ K with ♥ A, ♥ J10 will form a second stopper. Duck ♥ K and you will score just one trick*.
*It could still be right to duck ♥ K – and a second round – to keep West off lead with ♥ Qxxxx. But it will cost you your second trick.
In (b) you must beat ♠ Q with ♠ K. Duck and you’ll never make ♠ K**.
**Assuming the leader holds ♠ A, as is implied by East playing ♠ Q – although an expert East might play ♠ Q
from ♠ AQx.
c) | ♦ 7 4 | |
♦ 2 led | ---- | (E) |
♦ A 6 3 |
In (c) how many times would you duck if:
(c) (i) West’s lead of ♦ 2 means he has four diamonds. With diamonds 4-4, there is almost certainly no point in ducking (and risking a more dangerous switch).
(c) (ii) East has five diamonds for his overcall; West has ♦Hxx [H = honour]. Win ♦ A on the third round to exhaust West of diamonds.
(c) (iii)East has seven diamonds, West’s ♦ 2 is singleton and you should win ♦ A immediately.
The point is that Rule of Seven is no substitute for working out the unique inferences of the individual deal.
North Deals None Vul |
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West | North | East | South |
1 ♦ | 1 ♠ | 2 ♣ | |
Pass | 2 ♦ | Pass | 3 NT |
Pass | Pass | Pass |
On our 3 NT deal, West’s jack of spades lead – East’s bid suit – is clearly top of two. So after the jack is ducked and a second spade led to East’s queen, you win the second round [duck again and East can – fatally for you – switch to hearts].
You now knock out the ace of diamonds and when West proves to have the card (good!), claim ten tricks. The Rule of Seven should never enter your mind, the bidding combined with the lead having told you spades are 6-2.
(i) | ♥ 7 4 | (ii) | ♠ 8 6 2 | |||
♥ 6 led | --- | (E) | ♠5 led | --- | (E) | |
♥ A 5 3 | ♠ A 7 3 |
In (i) it is almost certainly correct to delay winning ♥ A until the third round. The reason for doing this is to exhaust East of his hearts – should West begin with five and East three asseems likely. If you then lose a subsequent leadto East, he will have no more hearts.
(ii) is less clear, but if the spades are 5-2 – the dangerous division – then ducking (ie not winning) once and winning ♠ A on the second round will exhaust East of spades.
The Rule of Seven states that the number of times you should duck is given by the number of cards held between your hand and dummy subtracted from seven. Ie. duck twice in (i) [7 - 6] and duck once in (ii) [7 - 5]. Next lesson I will tell you why I am not mad about the Rule of Seven, but for now understand the basic point of it (a very valid one): that you are trying to exhaust one opponent of his cards in the suit led, yet not duck too many times.
South Deals None Vul |
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West | North | East | South |
1 N | |||
Pass | 2 N1 | Pass | 3 N2 |
Pass | Pass | Pass |
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3 NT by South |
Lead: ♠ 3 |
On our 3 NT deal, West led the three of spades to East’s queen. When should you win your ace? Using the Rule of Seven, you have six spades between your hand and dummy. Taking six from seven tells you to duck your ace once and win it on the second round.
You let East’s queen of spades win and take his spade return with the ace. You now lead the king of clubs, pleased to see that it is East who holds the ace. If East did hold a third spade and led it, the opposing spades would be 4-3 and the defence would only be able to win three spades (plus a club). East proves to have no more spades so you can win any return and cash out for nine tricks via four clubs, three hearts and the aces of spades and diamonds. Game made.
Note that had you ducked a second spade, an alert West would have switched to (specifically) the ten of diamonds (key play) after winning his spade (knowing his spades were dead for the lack of an entry). That ten of diamonds would kill you.
Note finally that if West’s opening spade lead had been the two, indicating just four cards, you would win the ace immediately, for fear of a diamond switch.
Many inferences can be drawn from the opening lead. Say the lead is a two. The leader has just four cards in the suit led: the two is his fourth highest – and (obviously) his lowest. He is unlikely to have a five-card suit elsewhere or he would have led it; if he turns up with a singleton elsewhere, his likely shape is 4441. If his four-card suit is very poor, his likely shape is 4333 – unless he has a second four-card suit that is even poorer.
Say the lead is an eight. Is it fourth highest? Or high-for-hate? You’ll need to look at your hand and dummy to decide. Apply the Rule of 11 and if you get an impossible answer, it’s high for hate:
(i) | ♦ A Q 4 | (ii) | ♣ J 10 5 | |||
♦ 8 led | ---- | E | ♣ 8 led | ---- | E | |
♦ J 9 3 | ♣ K 6 2 |
In (i), taking eight from ♦11, giving just three higher cards than ♦ 8 in N, E, S is impossible: you can see four. So ♦ 8 is high-for-hate and East holds ♦ K. If you cannot afford to lose the lead, rise with ♦ A.
In (ii), it is possible West is leading fourth highest from ♣ AQ98(x). But if when you try dummy’s ♣ 10, East covers with ♣ Q, you know West’s ♣ 8 is high for hate and that East also holds ♣ A.
South Deals None Vul |
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West | North | East | South |
1 N | |||
Pass | 3 N1 | Pass | Pass |
Pass |
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3 NT by South |
Lead: ♠ 8 |
On our 3 NT deal, West leads the eight of spades. Taking eight from 11 gives an impossible three higher spades in N, E and S (N and S have four). The lead must be high-for- hate. If you finesse, East will win and surely switch to hearts before you have knocked out the ace of diamonds.
Instead rise with dummy’s ace of spades and knock out the ace of diamonds. East wins the second diamond and switches to hearts, you winning the second round. You still have just eight tricks, but look at what happens to East on the fifth diamond:
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East must throw his penultimate heart to keep his guards in both black suits. Now you can lead a spade knocking out his king and setting up a second trick in that suit, as he has just one heart to cash. Nine tricks and game made.
It is surprisingly rare that an in-depth knowledge of probabilities is key to landing a contract (relief!). Even if you do know that the à priori chances of (say) a 4-1 split are 28%, those odds will probably be different when you come to broach the suit: the bidding and play to date will have altered those odds. All you really need to know about odds in practical play is:
A missing odd number of cards rate to split as evenly as possible (eg five missing cards rates to split 3-2). Therefore a finesse (50-50) is less likely than the most even split.
A missing even number of cards does not rate to split evenly (eg four missing cards do not rate to split 2-2 [this is because a 3-1 (or the less likely 4-0) split can occur in two ways: three of the left – one on the right; or one on the left – three on the right]). Therefore a finesse is more likely than the even split.
Which of these suits is most likely to generate an extra trick? Least likely?
(i) | ♦ A Q 3 2 | (ii) | ♣ A Q 3 2 | (iii) | ♥ A Q |
--- | --- | --- | |||
♦ K 5 4 | ♣ K 6 5 4 | ♥ 3 2 |
However in practical play, a comparison of these odds is not normally necessary.
Say you are wide-open in spades and need one extra trick from the other three suits (as above). You would cash ♣ AKQ and ♦ AKQ in some order, finishing with a king. If either clubs have split 3-2 (quite likely – 68% if you’re curious) or diamonds have split 3-3 (quite unlikely – 36%), you have a long card. If neither cooperate, then the last resort is to lead to ♥ Q.
South Deals None Vul |
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West | North | East | South |
1 ♥ | |||
Pass | 2 ♥1 | Pass | 2 NT2 |
Pass | 3 N3 | Pass | Pass |
Pass |
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3 NT by South |
Lead: ♠ 2 |
Sometimes, however, you might be put to a premature guess – as on our deal. The defence took their four spades, East winning the fourth and switching to a club.
Declarer, who had thrown a club from dummy and a club and a diamond from hand, had eight top tricks. He had to decide whether to finesse the queen of clubs for his ninth; or rely on a 3-2 diamond split and a fourth trick in that suit.
The 3-2 diamond split being better odds, he rose with the ace of clubs, cashed the three top diamonds (good – 3-2 split revealed), over to a top heart, cashed the long diamond throwing the queen of clubs and finished with his three remaining top hearts. Nine tricks and game made.
(i) | (ii) | |
♦ A 6 5 3 | ♣ Q 10 3 2 | |
--------- | ----------- | |
♦ KJ942 | ♣ A K 5 4 |
In (i) the Finesse or Drop Test tells you that the best odds play (albeit marginally) is to cash the two top cards and hope for ♦ Q to drop. Does it matter whether you cash ♦ A or ♦ K first?
An emphatic yes! You should cash ♦ A first – to preserve your finessing options should the suit lie like this:
♦ A 6 5 3 | ||
♦ - | ====== | ♦ Q 10 8 7 |
♦ K J 9 4 2 |
After ♦ A, ♦ 7, ♦ 2, discard, you can lead ♦ 3 to (♦ 8 and) ♦ 9, cross back and then lead ♦ 5 to (♦ 10 and) ♦ J. ♦ K fells ♦ Q and you have scooped up the suit for no losers.
Note that if both opponents follow low under ♦ A and East follows low on the second round, the odds slightly favour rising with ♦ K. Also note that you would also cash ♦ A first with:
♦ A 6 5 3 2 |
---------- |
♦ K J 9 4 |
overriding the Unblocking Rule [high from shorter length; low from longer length]. In (ii) above you are hoping (and expecting) ♣ J to drop in three rounds, However it costs nothing to retain the ♣ Q10 finesse position. You should cash ♣ AK to the two rounds. This will be necessary if the layout is like this:
♣ Q 10 3 2 | ||
♣ J 9 8 6 | ----------- | ♣ 7 |
♣ A K 5 4 |
South Deals None Vul |
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West | North | East | South |
1 ♦ | |||
1 ♠ | 2 ♦ | 3 ♠1 | 3 NT |
Pass | Pass | Pass |
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3 NT by South |
Lead: ♠ 6 |
On our 3 NT deal, declarer won a second spade with the ace. Needing all four tricks from each minor, he tested (say) clubs by cashing ♣ AQ first, to retain ♣ K10 finesse position in case West held ♣ J98x [nothing he could do if East held ♣ J98x]. East duly discarded on the second, so he led a third club to the (nine and) ten.
Without cashing the king of clubs (he might –would – need the dummy entry), declarer turned to diamonds, cashing the ace to retain his ♦ KJ(8). When West’s queen dropped, he could lead to his eight if East played low. East inserted the nine, however so declarer won the jack, West discarding. He crossed to the king of clubs and led a third diamond to the (seven and) eight and cashed the king. Nine tricks and game made.
Note that the first-round finesse of the jack of diamonds would yield just two tricks in the suit (ace-king); cashing the ace first yielded all four.
The first thing to look for when deciding whether or not length is going to be the source of your extra tricks is a five-card suit. Although both the following suits have exactly the same seven combined cards, there is a world of difference between:
(i) | and | (ii) |
♦ A 7 5 2 | ♣ A 7 5 4 2 | |
-------- | ---------- | |
♦ K 4 3 | ♣ K 3 |
It’s all about having more card(s) left over when the opponents have run out. In (i), you will only be able to make an extra trick when the suit splits 3-3 (unlikely) and even then only one extra trick.
In (ii) you will be able to make two extra tricks when the suit splits 3-3 [♣ K; ♣ 3 to ♣ A then give up a round*]; you will be able to make one extra trick when the suit splits 4-2 [♣ K; ♣ 3 to ♣ A; give up the third and fourth rounds*].
*Even better in a trump contract, as you can trump the third (and if necessary fourth rounds).
South Deals None Vul |
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West | North | East | South |
1 N1 | |||
Pass | 3 N | Pass | Pass |
Pass |
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3 NT by South |
Lead: ♠ 4 |
On our illustrative 3 NT deal, you as declarer have eight top tricks. Trick one goes ♠ 4, ♠ 2, ♠ Q and you win the ace. Hearts, diamonds and clubs all contain seven cards, comprising the ace-king and five low cards. Which suit should you play on?
Emphatically hearts – holding five cards in one hand. At trick two lead a low heart to the (ten and) king (high card in the shorter length), then lead back a heart. Given that you will have to lose at least one heart trick whatever the split, you might as well duck this second round (once in a while East began with ♥ QJ942).
West wins the queen and persevered with the jack of spades which you duck, then a third spade. You win the king, cross to the king of (say) diamonds and play the ace of hearts (West discarding) and a heart. East wins but, with no spades to lead, leads (say) a diamond. You win dummy’s ace, cross to the king of clubs and cash the promoted fifth heart, your crucial extra trick. All that remains is to cross to the ace of clubs and that’s nine tricks and game made.
Note that there were (expected) 4-2 splits in all three suits. Yet only hearts – because of the five-card length in one hand – could yield an extra trick.
I am always a trifle disappointed when I hear my students say, as they frequently do, ‘Ooh do I have to bid 1/2/3 NT? I hate notrumps’. I feel I’ve failed as a teacher.
I’m also somewhat baffled. For in that you have fewer options, fewer ways to go wrong, you could argue that declaring notrumps is easier than declaring trumps.
So don’t be afraid of bidding notrumps even – especially – if an opponent has preempted. Provided you have a stopper in his suit, preferably one you can choose to win to exhaust the his partner of cards of the suit, you will do very well as long as you can keep the pre-emptor from winning a subsequent lead. Take this deal, not the easiest but an example of what we will be building up to:
North Deals None Vul |
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West | North | East | South |
1 ♣ | 3 ♥1 | 3 NT2 | |
Pass | Pass | Pass |
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After ducking trick one [♥ 10, ♥ J, ♥ Q, ♥ 4] and winning ♥ K that follows, you know West has no more hearts. So if you can avoid losing the lead to East, you have good chances. Plan the play.
You have five top tricks. Even if you bring in clubs for all five tricks, you need a winning spade finesse, so you might as well take it now. At trick three you lead and successfully pass the queen of spades, following with a spade to dummy’s jack. Time for clubs.
You do not mind losing a club trick to West (with no more hearts) so at trick five you lead a club to the ten (key play). Either the finesse succeeds (if East holds the queen), or it loses to West, who cannot hurt you. Say the ten loses to West’s queen. You win his (say) diamond return, cash four clubs and the ace of spades and make nine tricks. Game made – another 3 NT chalked up.
Quiz: Make your ♥ A into ♥ K. You still bid 3 NT, but have to win your king at trick one when East correctly [from ♥ AQ98752] withholds his ace. Plan the play?
Answer: Now, in addition to a winning spade finesse, you need to pick up clubs without loss (West has another heart to lead if he wins a trick). West rates to have more clubs (he has five fewer hearts) so play clubs by cashing the king then running the ten [succeeding when East holds any two small clubs or a singleton eight or nine].
Ruffing in dummy carries with it the danger that you will be overruffed. Sometimes you can avert that danger in an ingenious fashion...
South Deals None Vul |
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West | North | East | South |
1 ♥ | |||
1 ♠ | 2 ♥ | Pass | 4 ♥1 |
Pass | Pass | Pass |
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4 ♥ by South |
Lead: ♠ A |
West leads ♠ A and East signals with ♠ 10, because he can potentially overruff dummy on the third spade. West continues with ♠ K, then ♠ Q. What do you do?
Ruffing low is sure to fail, East having advertised that he will overruff. You will also lose an unavoidable late club. Ruffing high (with ♥ Q) is better, but you would then be reliant on a 2-2 heart split. On the layout, you would lose to East’s ♥ J and, later, the third club. Down one.
How about discarding a club from dummy at trick three (key play). This is a loser in any event, but by throwing the club, you are swapping ruffs. You can win any return (say ♦ 4). You then play ♥ Q and back to ♥ A; then ♣ 3 to ♣ A, ♣ 6 to ♣ K and peacefully ruff ♣ 7.
Note that this elegant Loser-on-Loser play would not work if East held a club fewer, as he would also throw a club on the third spade and be able to overruff in clubs. But then 4 ♥ would be unmakeable.
Ps If West plays a fourth spade, try trumping with the h2 in the dummy at trick four.
East must overtrump, or declarer can simply throw her losing club.
So trick 4 goes spade, h2, h9, hK.
Declarer then plays a club to the Ace, a club to the King, and trumps the club 7 in dummy with the heart 6.
Now just draw trumps - HQ, diamond to the Ace and the HA is ten tricks and game made.
A tad less awkward than the 4-3 fit (because you have an extra trump in the longer length), trump control is nonetheless a big issue. Normally you should delay drawing trumps to establish a suit, particularly if both hands are void of a suit and dummy (the two-card trump length) can ‘take the force’. You do not want the five-card trump length to have to ruff twice (and therefore be reliant on an opposing 3-3 split).
You would not rush to declare a 5-2 fit, especially if there was an eight-card t available. However in the game zone, if the 5-2 t was a major and the eight-card t was a minor, you might well prefer the 5-2 t if (almost) all the honours were held. Take our deal.
South Deals None Vul |
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West | North | East | South |
1 ♠ | |||
Pass | 1 N | Pass | 3 ♣1 |
Pass | 4 ♣2 | Pass | 4 ♠3 |
Pass | Pass4 | Pass |
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4 ♠ by South |
Lead: ♥ K |
North-South bid well to the best game contract of 4 ♠. Yes – 3 NT would be a lucky make this time, because hearts were 4-4, but you’d not wish to be there. 5 ♣ would require ♣ Q to drop doubleton [the chances of this are 40% x 68% = 27%, where 40% = the chances of ♣ Q being in the two-card holding and 68% = the chances of a 3-2 split] and would fail on the layout (losing two hearts plus ♣ Q).
West leads ♥ K, East encouraging with ♥ 9, then follows with ♥ QJ. is would not be the moment to discard: in effect you would be discarding a winner and still be left with ♣ Q to lose. You can afford to ruff in the long hand – once. You ruff.
What you cannot now afford to do is draw trumps. You should assume the six missing trumps are splitting 4-2 (as they are), in which case you’ll have no trumps left after drawing them all. When you then lead out ♣ AK and a third club to set up your long card, West will win ♣ Q and cash a heart. Down one.
You must give up the club whilst dummy still holds trumps – with which to ru a fourth heart. At tricks four, five and six you lead yAK and a third club. West wins ♣ Q but, unable profitably to lead the fourth heart – you’d ru low in dummy [and survive even if East had thrown his fourth heart on the third club and overruffed, as he held the four trumps], may switch to ♦ 4. You now win, draw trumps in four rounds and peacefully enjoy the long club. 10 tricks and game made.
We have looked several occasions where it is correct to delay drawing trumps. My guess is that if you take these lessons to heart, generally you will probably be drawing trumps later than before.
There is a flip side of the coin, however: deals you may have been reluctant to draw trumps, when in fact draw trumps you must. Straight away. Take our featured deal.
South Deals None Vul |
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West | North | East | South |
1 N | |||
Pass | 2 ♣1 | Pass | 2 ♥ |
Pass | 4 ♥ | Pass | Pass |
Pass |
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4 ♥ by South |
Lead: ♦ J |
West leads J♦ v 4 ♥ . You baulk when you see that you are missing ♥ AKQJ10. You may wish you were declaring 3 NT (nine top tricks). Perhaps – however it is worth pointing out that at Duplicate Pairs 4 ♥ is superior: 3 NT will make only nine tricks (unless diamonds are 3-3), whereas 4♥ will make ten (provided trumps are 3-2).
WRONG THINKING: Yikes, my trumps are terrible, I cannot possibly play them. Let me play out my minor suit winners and see what happens...
You win J♦ with (say) ♦ Q and lead (say) ♣ K then ♣ 3. Disaster! West ruffs (with ♥ Q) and leads a second diamond. East ruffs (with ♥ 10) and leads a third club. West ruffs (with ♥ A) and East must score ♥ KJ. The defence make all their five trumps separately – down two.
CORRECT THINKING: I am missing ve trumps, which will normally split 3-2. By leading trumps, two of their high cards will fall together; I will merely lose three tricks.
Win (say) ♦ A and lead ♥ 2. West wins ♥ Q and although he can lead a second diamond for East to ruff, as you’d expect [the defender with short diamonds holding longer trumps], East is ruffing at the cost of a trump trick. You can win any return, then lead a second trump and watch ♥ A and ♥ K crash together. 10 tricks and game made.
There is just one (unlikely) way to beat 4 ♥ . West must lead ♣ 9 [although holding ♥ AQ he does not seemingly want a ruff]. Declarer wins in dummy and leads ♥ 2, whereupon East must rise with ♥ K (!) and lead a second club for West to ruff (with ♥ A). Down one.
Although drawing the opposing trumps straight away is the default setting on the Bridge machine – you don’t want your winners to be trumped – there are many occasions where it is folly. Here are three of the most important reasons to delay:
Take this 4♥ .
South Deals None Vul |
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West | North | East | South |
3 ♥1 | |||
Pass | 4 ♥2 | Pass | Pass |
Pass |
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Lead: ♣ 10 |
South was minimum for his preemptive 3 ♥ ,and 4 ♥ would have been unmakeable on the lead of either major suit. West led a normal ♣ 10, however and declarer could now get home – provided he used the correct strategy.
Because there were fewer clubs in dummy than in hand, declarer had the opportunity to score an extra trump trick by rung as third club in dummy, the short trump hand [Reason (B), above]. However because this involved giving up a trick, he rst had to dump a spade on dummy’s second top diamond [Reason (A)].
Declarer won West’s club lead with dummy’s ♣ A and promptly and necessarily cashed ♦ AK, dumping ♠ 5. At trick four he led ♣ 3, to void dummy of clubs.
East won ♣ Q and the defence did the best they could, East switching to ♠ 6 to West’s ♠ Q. Refraining from trying to cash ♠ A [if declarer’s club play made sense, he had to have a club in his hand; his other seven cards had to be hearts to justify his three-level opener; no room for another spade], West switched to a heart.
Spurning the heart finesse [play low from dummy – in the hope West held ♥ K – and East would win ♥ K and lead a second heart, removing dummy’s hearts before the club could be ruffed], declarer rose with ♥ A. He ruffed ♦ 6 to get back to hand then led ♣ J and ruffed it with ♥ 5 (the crucial extra trick). His remaining six cards were ♥ QJ10743, of which he had to score five (all bar ♥ K). 10 tricks and game made – via ♦ AK, ♣ A, six trumps plus a ruff in dummy.
The most fundamental occasion where you have to delay drawing trumps is when you have to ruff in the short trump hand (normally dummy). Dummy must be voided and extra cards ruffed whilst dummy still has trumps.
Look for a suit (outside trumps) in which dummy has fewer cards. If there is none, then you cannot ruff in dummy; if there is such a suit, then do not draw trumps and start voiding dummy of that suit.
South Deals None Vul |
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West | North | East | South |
1 ♥ | |||
Pass | 2 ♥1 | Pass | 3 ♥2 |
Pass | 4 ♥3 | Pass | Pass |
Pass |
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On our featured 4 ♥ deal there was such a suit – in which dummy has fewer cards - namely spades. Declarer won West’s top-of-a-sequence ♦ Q lead with ♦ K. Without touching a trump (which would signal defeat), declarer led a spade, beginning the voiding-dummy process. East won ♠ 9 and, realising declarer’s cunning plan, switched to a trump [this is the standard defence in such situations: the defence must try to remove dummy’s trumps before you can use them for ruffing].
Winning ♥ K, declarer led ♠ 6, voiding dummy. West beat ♠ J with ♠ Q and persisted with ♥ 7. Winning ♥ J, it was now declarer’s big moment: he led ♠ 7 – a loser – and trumped it in dummy. This was the extra trick which made the difference between 10 tricks and game made as opposed to nine tricks and ‘a good effort’.
Declarer now crossed to his hand via (say)♣ K, draw the remaining opposing trump and cashed his remaining top tricks, merely giving up a third round club trick.
There was a defence to beat 4 ♥ . West must lead a trump at trick one. The defence can lead two further trumps when in with spades and now there are no more trumps in dummy to ruff the third spade.
Whilst leading a trump would have worked well here, such a lead risks handing declarer the initiative on (at least as) many other occasions, where setting up diamond winners early is key. That’s Bridge – you can’t always be right.
Here are the odds of the various trump splits:
Seven | Eight | Nine | Ten |
3-3 36% 4-2 48% 5-1 15% 6-0 1% |
3-2 68% 4-1 28% 5-0 4% |
2-2 40% 3-1 50% 4-0 10% |
2-1 78% 3-0 22% |
Don’t worry! You don’t have to remember those percentages. But it is helpful to learn the basic generality: namely that a missing odd number of cards rate to split as evenly as possible eg five missing cards normally split 3-2; whilst a missing even number of cards do not normally split evenly eg four missing cards are more likely to split 3-1 than 2-2 (this is because there are two 3-1 splits: three on the left or three on the right).
South Deals None Vul |
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West | North | East | South |
1 ♠ | |||
Pass | 2 ♠1 | Pass | 3 ♠2 |
Pass | 4 ♠3 | Pass | Pass |
Pass |
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4 ♠ by South |
Lead: ♣ Q |
West leads ♣ Q v 4 ♠ [the killer lead would be ♦ K, but how can West find that?]. As declarer, you win and should make some guesstimates. You’d guess trumps are 3-1 (a missing even number of cards does not rate to split evenly); and you’d guess hearts are 4-3 (a missing odd number of cards does rate to split as evenly as possible).
With the above expectations, you win ♣ A (East encouraging by playing ♣ 10) and play over to ♠ K and back to ♠ A East discarding (♣ 3) on the second round), revealing that, indeed, trumps are 3-1.
Leaving West’s master trump outstanding – the Rule of One – you now play out hearts. You cash ♥ A, overtake ♥ Q with dummy’s ♥ K, then follow with ♥ J, discarding a minor-suit loser. Both opponents follow (as expected) and you now lead the good ♥ 10, discarding another minor-suit loser. West ruffs, but you do not mind, as you have just two minor-suit losers remaining. 10 tricks and game made.
Note that without ♥ 10, the sequence of plays would be ♣ A, ♠ A, ♥ AQ, ♠ 2 to ♠ K, ♥ KJ.
A finesse is an attempt to promote a card (or cards) in a suit, when a higher card (or cards) is missing. The key is the relative position of the higher card. But contrast:
Deal i) |
Deal ii) |
K Q J |
K Q 5 |
----- |
----- |
4 3 2 |
4 3 2 |
In (i) there is no positional factor. Whichever opponent holds the ace, you must score two tricks. You can lead towards the king-queen- jack or simply lead one of the honours.
In (ii) there is a positional factor. You can lead the king (queen) to force out the ace, and so promote the other honour. But if you wish to try to promote both your honours, you must rely on finessing technique. You must start from the opposite hand to the honours, leading to the queen (king), and hoping that the missing ace is in the hand of the opponent playing second (a 50-50 proposition). Say he holds the ace and plays low. Your queen wins the trick. You must now cross back to hand (in another suit) and lead towards the king. You have promoted both the honours.
Our featured deal saw declarer promote all three of dummy’s heart honours by leading three times from the opposite hand. His technique was perfect - and he was fortunate to have three entries to his hand to execute the manoeuvre.
South Deals None Vul |
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West | North | East | South |
1 N | |||
Pass | 3 N1 | Pass | Pass |
Pass |
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3 NT by South |
Lead: ♣ 3 |
Declarer won the club lead with the king, and led a heart to dummy’s jack, winning the trick as West held the ace. He next crossed to the queen of diamonds and led a second heart to the queen, West ducking again (best). He followed by crossing to his ace of diamonds, and leading a third heart towards the king. This time West took his ace and led a second club. Declarer won the ace, crossed to the king of diamonds, cashed the promoted king of hearts, and scored his ninth trick with the ace of spades. Game made.
Note that had declarer lazily led a top heart from dummy, he would only have scored two tricks in the suit. He would have had to rely on a 3-3 split to score dummy’s five as a length winner. Not this time.
The Ruffing Finesse is a method of card promotion that enables you to benefit, even though the critical missing honour is sitting over your strength. The technique has the advantage of allowing you to dispose of a loser in another suit should the ruffing finesse fail.
Typical is:
North | ||
West | A Q J 10 | East |
6 5 4 3 | K 9 8 7 | |
South | ||
2 (+trumps) |
West Deals N-S Vul |
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West | North | East | South |
3 ♣ | Pass | Pass | 3 ♥ |
Pass | 4 ♥ | Pass | Pass |
Pass |
4 ♥ by South |
Lead: ♣ K |
The success of this 4 ♥ contract depended on guessing which opponent held the queen of spades. West led the king of clubs and, when it won, continued with the queen of clubs to East’s ace. East switched to the king of diamonds, and declarer won the ace.
There were several good reasons for playing the ruffing finesse (ace-king then run the jack - in the hope that East held the queen) as opposed to the regular finesse (low to the ten - playing for West to hold the queen).
(i) West had preempted, so East rated to have the length (and strength) outside.
(ii) The contract would go one fewer down should declarer misguess.
(iii) The ruffing finesse against East would also succeed if West held the queen in a singleton or doubleton holding.
Declarer cashed the ace of trumps and crossed to dummy’s ten, West discarding (a club). Leaving East’s last trump out (needing the queen of trumps as a later entry), declarer cashed dummy’s ace-king of spades. No queen fell, so he followed with dummy’s jack (the ruffing finesse).
If East had covered with the queen of spades, declarer would have ruffed, crossed to the queen of trumps, then cashed the promoted ten of spades discarding a diamond. He would merely lose one diamond at the end. At the table East played low on the jack of spades. Declarer discarded a diamond and, when the jack won the trick, was able to draw East’s last trump and concede just one diamond. Game made.