Two sport teams, I and II, play each other in a three-game series on one day, whi ends when one team wins two games. The weather of the day is equally likely to be wet or dm The probability that team I will win each game is , if the weather is wet. On the other hanm 2. the probability that team I will win each game is , if the weather is dry. a. What is the probability that the first game is won by Team I? b. What is the expected number games that Team I wins if the day is wet? c. What is the expected number games that Team I wins if the day is dry?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Two sport teams, I and II, play each other in a three-game series on one day, which
ends when one team wins two games. The weather of the day is equally likely to be wet or dry.
The probability that team I will win each game is , if the weather is wet. On the other hand,
the probability that team I will win each game is , if the weather is dry.
a. What is the probability that the first game is won by Team I?
b. What is the expected number games that Team I wins if the day is wet?
c. What is the expected number games that Team I wins if the day is dry?
d. What is the expected number of games that Team I wins after finishing the series?
Transcribed Image Text:Two sport teams, I and II, play each other in a three-game series on one day, which ends when one team wins two games. The weather of the day is equally likely to be wet or dry. The probability that team I will win each game is , if the weather is wet. On the other hand, the probability that team I will win each game is , if the weather is dry. a. What is the probability that the first game is won by Team I? b. What is the expected number games that Team I wins if the day is wet? c. What is the expected number games that Team I wins if the day is dry? d. What is the expected number of games that Team I wins after finishing the series?
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