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Probability: sudden death playoff Teams A and B go into

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 70E Chapter 9.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 70E

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 . Evaluate this series.

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

Step-by-Step Solution:

Solution 70E

Step 1:

a. The probability that Team A ultimately wins is .This is the sum of an infinite geometric series whose first term and common ratio

Sum of an infinite geometric series is .Hence

Step 2 of 2

Chapter 9.4, Problem 70E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The answer to “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 . Evaluate this series.b. The expected number of rounds (possessions by either team) required for the overtime to end is . Evaluate this series.” is broken down into a number of easy to follow steps, and 83 words. The full step-by-step solution to problem: 70E from chapter: 9.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 70E from 9.4 chapter was answered, more than 269 students have viewed the full step-by-step answer. This full solution covers the following key subjects: team, ball, sudden, Death, wins. This expansive textbook survival guide covers 85 chapters, and 5218 solutions.

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