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Teams A and B play a series of games, with the first team
Chapter 4, Problem 11STE(choose chapter or problem)
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.