Teams A and B go into sudden death overtime after playing to a tie. The teams alternate

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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 1/6 chance of scoring when it has the ball, with Team A having the ball first. 

a. The probability that Team A ultimately wins is 5\2k Σ k=0 Evaluate this series.

b. The expected number of rounds (possessions by either team) required for the overtime to end is 00 ΣΕ k=1 Evaluate this series.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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