You are going to play the following game: You wager $1, a fair die is rolled, and if the number 5 appears, you win $4; otherwise, you lose your dollar. If you have to choose the number of rounds ahead of time, how should you do so to increase your chances of being ahead (having won more than you've lost) when you resign, and what is the likelihood of this happening?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 9CC
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You are going to play the following game: You wager $1, a fair die is rolled, and if the number 5 appears, you win $4; otherwise, you lose your dollar. If you have to choose the number of rounds ahead of time, how should you do so to increase your chances of being ahead (having won more than you've lost) when you resign, and what is the likelihood of this happening?

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