Bridge column, November 5: To finesse now or to cash first?
That is great advice for bridge players. Remember what you learned from previous play, set your goal for the present deal, and work out how to succeed now -- not afterward.
In today's deal, how should South play in four hearts after West cashes his three top diamonds, then shifts to a club?
South's three-heart jump-rebid showed at least six hearts and some seven winners. This converts to 15 or 16 high-card points (or a very good 14 or a poor 17). North thought about rebidding three no-trump, but was persuaded by the lack of a diamond stopper to raise to four hearts.
South must play the trump suit without loss. He has three possible lines of play: a.) cash the ace and king; b.) cash the ace, then finesse on the second round; c.) finesse immediately.
The first option wins over the second only when West has queen-doubleton and loses when East has queen-third or (versus line three) queen-fourth. It is more successful than line three when West has a singleton or doubleton queen. Line two is better than three only when West has a singleton queen. Line three wins when East has queen-fourth of hearts.
If you do the math, line three is the best overall. In particular, West will have a low singleton four times more often than a singleton queen.
The exact a priori figures are 32.8 percent for a; 39.6 percent for b; and 48 percent for c.
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