S/—
| ♠ | K 6 2 | | | | ♥ | A 2 | | ♦ | 8 3 2 | | ♣ | A K 10 9 8 | | | |  | | | | | | | | | | ♠ | A 7 5 4 | | | ♥ | K 9 | | ♦ | K Q J 5 | | ♣ | J 5 4 |
| West | North | East | South |
|---|
| — | — | — | 1♦ | | pass | 2♣ | pass | 2NT | | pass | 3NT | pass | pass | | pass | | | |
West leads the ♥5.
Solution Declarer counts six top tricks: the ♠AK, the ♥AK and the ♣AK. So he has to develop three extra tricks. Is he going to set op the clubs or the diamonds? Suppose he finesses for the ♣Q. If he succeeds, nine tricks are there. But if East wins with the ♣Q, declarer is almost certainly defeated: | | ♠ | K 6 2 | | | | ♥ | A 2 | | ♦ | 8 3 2 | | ♣ | A K 10 9 8 | | ♠ | J 9 8 |  | ♠ | Q 10 3
| | ♥ | Q 10 7 6 5 | ♥ | J 8 4 3 | | ♦ | 9 7 4
| ♦ | A 10 6 | | ♣ | 7 6 | ♣ | Q 3 2 | | | ♠ | A 7 5 4 | | | ♥ | K 9 | | ♦ | K Q J 5 | | ♣ | J 5 4 |
...since EW set up their heart suit. As soon as declarer plays a diamond — in order to set up his ninth trick; after all he has only eight tricks to take — the defence wins with the ♦A and cashes at least three more hearts (in this case exactly three). So by finessing for the ♣Q declarer puts all his eggs in one basket: a 50% chance of success.
Declarer can do much better by combining chances: he wins the lead with the ♥A, cashes the ♣A (you never know...) and plays a diamond from dummy. If East has the ♦A (a 50% chance), the contract is made: - If East wins with the ♦A, South has three master diamonds, enough for his contract. - If East ducks, South scores the ♦K. With a diamond trick in the bag and still a heart guard, declarer now changes tack by finessing for the ♣Q, not caring too much whether the finesse wins or fails. If it wins, he cashes the clubs and switches back to diamonds, making eleven (diamonds not 3-3) or twelve tricks. If the club finesse fails (the actual layout), he safely makes nine tricks.
If, on a different layout, West wins with the ♦A and clears the hearts, declarer first tests the diamonds. If this suit is 3-3 (a 35.5% chance), he has nine tricks. If not, he tries his last chance: the club finesse (50%).
Following this line of play, declarer will only be defeated if West has the ♦A and the diamond suit is not 3-3 and East has the ♣Q. The total chance of defeat is 16.8%. If declarer suffers that fate, he has reason to complain... |