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 chance of scoring when it has the ball, with Team A having the ball first. a. The probability that Team A ultimately wins is E ()*. Evaluate this series. k=0 b. The expected number of rounds (possessions by either team) required for the overtime to end is Ek()e-1. Evaluate this k=1 series.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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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 chance
of scoring when it has the ball, with Team A having the ball first.
a. The probability that Team A ultimately wins is E ()*.
Evaluate this series.
k=0
b. The expected number of rounds (possessions by either team)
required for the overtime to end is Ek()e-1. Evaluate this
k=1
series.
Transcribed Image Text: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 chance of scoring when it has the ball, with Team A having the ball first. a. The probability that Team A ultimately wins is E ()*. Evaluate this series. k=0 b. The expected number of rounds (possessions by either team) required for the overtime to end is Ek()e-1. Evaluate this k=1 series.
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