You're playing duplicate bridge. pass or to bid game in spades, namely to bid four spades. You reckon that there is a good chance, 40%, that four spades will make. Otherwise, you think three spades will make about 40% of time, and two spades the rest of the time. Suppose there are no doubles (by the opposition, for penalties). The gains and losses depend on whether you are vulnerable or not. The possible outcomes and scores are as follows: Not vulnerable Vulnerable Score if you make Score if you make

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You're playing duplicate bridge. Your partner has bid two spades, and you have to decide whether to
pass or to bid game in spades, namely to bid four spades. You reckon that there is a good chance,
40%, that four spades will make. Otherwise, you think three spades will make about 40% of time, and
two spades the rest of the time. Suppose there are no doubles (by the opposition, for penalties). The
gains and losses depend on whether you are vulnerable or not. The possible outcomes and scores are
as follows:
Not vulnerable
Vulnerable
Score if you make
2 spades 3 spades 4 spades 2 spades 3 spades 4 spades
170
Score if you make
You bid
2 spades
3 spades
4 spades
110
140
170
110
140
-50
140
170
-100
140
170
-100
-50
420
-200
-100
620
What should you bid when not vulnerable? What should you bid when vulnerable? Calculate the
variation in score for one of the bids.
Transcribed Image Text:You're playing duplicate bridge. Your partner has bid two spades, and you have to decide whether to pass or to bid game in spades, namely to bid four spades. You reckon that there is a good chance, 40%, that four spades will make. Otherwise, you think three spades will make about 40% of time, and two spades the rest of the time. Suppose there are no doubles (by the opposition, for penalties). The gains and losses depend on whether you are vulnerable or not. The possible outcomes and scores are as follows: Not vulnerable Vulnerable Score if you make 2 spades 3 spades 4 spades 2 spades 3 spades 4 spades 170 Score if you make You bid 2 spades 3 spades 4 spades 110 140 170 110 140 -50 140 170 -100 140 170 -100 -50 420 -200 -100 620 What should you bid when not vulnerable? What should you bid when vulnerable? Calculate the variation in score for one of the bids.
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