You're playing duplicate bridge. Your partner has bid two spades, and you have to decide whether topass 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, andtwo spades the rest of the time. Suppose there are no doubles (by the opposition, for penalties). Thegains and losses depend on whether you are vulnerable or not. The possible outcomes and scores areas follows:Not vulnerableVulnerableScore if you make2 spades 3 spades 4 spades 2 spades 3 spades 4 spades170Score if you makeYou bid2 spades3 spades4 spades110140170110140-50140170-100140170-100-50420-200-100620What should you bid when not vulnerable? What should you bid when vulnerable? Calculate thevariation in score for one of the bids.

Answered: Image /qna-images/answer/74711c3b-8eee-4ff5-9623-8e491536d06b.jpg

Answered: You're playing duplicate bridge. pass…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You draw a card from a deck of 52 cards. If the card is a spade, you win $5, but if the card is not a spade you lose $2.What is your expected earning from this game?
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Suppose I flip a fair coin n = 20 times. A psychic tries to predict the outcome before each flip. Three researchers have different ideas about the psychic's ability. There is Sydney, the Skeptic (S), who thinks the psychic's success rate is between 49% and 51%. There is Morgan, the Mark, M, who thinks that the psychic's success rate is 80%. And there is Carter, the Cynic (C), who thinks the psychic's success rate is 10%. Specifically: S+ 0 ~ U(.49, .51) M + 0 = .80 C0 = .10 %3D In all cases, assume the number of successful predictions follows a binomial distribution with success rate 0. Usek for the number of successes and n for the number of trials. Given all that: Determine the formula for the Bayes factor (a.k.a., likelihood ratio) supporting Carter over Morgan. Call that Bayes factor Bc:M Determine the formula for the Bayes factor (a.k.a., likelihood ratio) supporting Morgan over Sydney. Call that Bayes factor BM:S Determine the formula for the Bayes factor (a.k.a., likelihood…
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Zara and Sue play the following game. Each of them roll a fair six-sided die once. If Sue’s number is greater than or equal to Zara’s number, she wins the game. But if Sue rolled a number smaller than Zara’s number, then Zara rolls the die again. If Zara’s second roll gives a number that is less than or equal to Sue’s number, the game ends with a draw. If Zara’s second roll gives a number larger than Sue’s number, Zara wins the game. Find the probability that Zara wins the game and the probability that Sue wins the game. Note: Sue only rolls a die once. The second roll, if the game goes up to that point, is made only by Zara.
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