Example: Mr. Stoneguy, a wealthy diamond dealer, decides to reward hisson by allowing him to select one of two boxes. Each boxcontains three stones. In one box two of the stones are realdiamonds, and the other is a worthless imitation; and in the otherbox, one is a real diamond, and the other two are worthlessimitations. If the son were to choose randomly between the twoboxes, his chance of getting two real diamonds is 0.5. Mr.Stoneguy then suggested that he will allow his son to draw onestone from one of the boxes and to examine it to see if it is areal diamond and to decide which box to select. The son agreedand decided to take the box that the stone he tested came from ifthe tested stone is real and to take the other box otherwise. Willthis strategy increase the son's chance of getting two realdiamonds?There are 2 stages in this experiment:Stage 1- selection of box at randomStage 2 - selection of stone at random from the selected boxin Stage 1Let A = event of selecting the box that contains 2 real diamondsand 1 fakeB = event of selecting a real diamondC = event of getting 2 real diamonds using the son's strategy= (AB) U (AºB°)P(A) = ¼ since selection is done at randomP(B|A) = 2/3P(BJA) = 1/3Given:Find P(C).

Answered: Image /qna-images/answer/dbd110ff-ebfd-41aa-bf6b-8e915cd504b1.jpg

Answered: son by allowing him to select one of…

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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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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