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Teams A and B play a series of games, with the first team

Chapter 4, Problem 11STE

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QUESTION:

Problem 11STE

Teams A and B play a series of games, with the first team to win 3 games being declared the winner of the series. Suppose that team A independently wins each game with probability p. Find the conditional probability that team A wins

(a) the series given that it wins the first game;

(b) the first game given that it wins the series.

Questions & Answers

QUESTION:

Problem 11STE

Teams A and B play a series of games, with the first team to win 3 games being declared the winner of the series. Suppose that team A independently wins each game with probability p. Find the conditional probability that team A wins

(a) the series given that it wins the first game;

(b) the first game given that it wins the series.

ANSWER:

Step 1 of 3

Given two teams A and B play a series of games.

Our goal is to find the conditional probability that team A wins:

a) The series given that it wins the first game.

b) The first game given that it wins the series.

 

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