Solved: Probability: sudden death playoff Teams A and B go

Chapter 9, Problem 76

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Probability: sudden death playoff Teams A and B go into sudden death overtime after playing to a tie. The teams alternate possession of the ball, and the first team to score wins. Each team has a 16 chance of scoring when it has the ball, with Team A having the ball first. a. The probability that Team A ultimately wins is a _ k = 0 16 156 22k. Evaluate this series. b. The expected number of rounds (possessions by either team) required for the overtime to end is 16 a _ k = 1 k156 2k - 1. Evaluate this series.

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