Marti decides to keep placing a $1 bet on number 15 in consecutive spins of a roulette wheel until she wins. On any spin, there’s a 1-in-38 chance that the ball will land in the 15 slot. a) How many spins do you expect it to take until Marti wins? Justify your answer. b) What is the probability that it takes 5 spins before Marti wins? c) What is the probability that it will take Marti more than 50 spins to win?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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2) Marti decides to keep placing a $1 bet on number 15 in consecutive spins of a roulette wheel until she
wins. On any spin, there’s a 1-in-38 chance that the ball will land in the 15 slot.
a) How many spins do you expect it to take until Marti wins? Justify your answer.
b) What is the probability that it takes 5 spins before Marti wins?
c) What is the probability that it will take Marti more than 50 spins to win?

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