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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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 34T
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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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