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In a certain game, a player who bets $n either wins $2n (with probability 1/2) or loses the $n. So her total either increases by $n or decreases by $n, each with a probability of 1/2. A gambler uses the following strategy. She bets either $10 (if her total is $50 or more) or $5 (if her total is less than $50). If she starts with $100, what is the probability that she reaches $200 before losing everything?

In a certain game, a player who bets $n either wins $2n (with probability 1/2) or loses the $n. So her total either increases by $n or decreases by $n, each with a probability of 1/2. A gambler uses the following strategy. She bets either $10 (if her total is $50 or more) or $5 (if her total is less than $50). If she starts with $100, what is the probability that she reaches $200 before losing everything?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 10CR
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In a certain game, a player who bets $n either wins $2n (with probability 1/2) or loses the $n. So her total either increases by $n or decreases by $n, each with a probability of 1/2. A gambler uses the following strategy. She bets either $10 (if her total is $50 or more) or $5 (if her total is less than $50). If she starts with $100, what is the probability that she reaches $200 before losing everything?

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