10th Edition

ISBN: 9780134753676

Author: Ross

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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Textbook Question

Chapter 4, Problem 4.20P

A gambling book recommends the following “winning strategy” for the game of roulette: Bet $1 on red. If red appears (which has probability 18 38 ) then take the $1 profit and quit. If red does not appear and you lose this bet (which has probability 20 38 of occurring), make additional $1 bets on red on each of the next two spins of the roulette wheel and then quit. Let X denote your winnings when you quit.

a. Find P { X > 0 } .

b. Are you convinced that the strategy is indeed a “winning” strategy? Explain your answer!

c. Find E [ X ] .

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Chapter 4, Problem 4.19P

Chapter 4, Problem 4.21P

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Chapter 4 Solutions

EBK FIRST COURSE IN PROBABILITY, A

Ch. 4 - Two balls are chosen randomly from an urn...Ch. 4 - Two fair dice are rolled, Let X equal the product...Ch. 4 - Three dice are rolled. By assuming that each of...Ch. 4 - Five men and 5 women are ranked according to their...Ch. 4 - Let X represent the difference between the number...Ch. 4 - In Problem 4.5 for n=3, if the coin is assumed...Ch. 4 - Suppose that a die is rolled twice. What are the...Ch. 4 - If the die in Problem 4.7 is assumed fair,...Ch. 4 - Repeat Example 1c, when the balls are selected...Ch. 4 - Let X be the winnings of a gambler. Let...

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