Question

Assume the probability that LA Dodgers wins a game over Boston Red Sox is 0.4 a)...

Assume the probability that LA Dodgers wins a game over Boston Red Sox is 0.4

a) What is the conditional probability that Boston won the World Series in 5 games knowing that Boston won the series ?

b) What is the probability that LA won the series over Boston in six games?

c) What is the probability that Boston won the World Series over LA in seven games?

d) What is the probability that Boston won the World Series over LA?

Math   Statistics-And-Probability   
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Answer #1

a)P(Bostom won the series)=P(won in 4 games)+P(won in 5 games)+P(won in 6 games)+P(won in 7 games)

=(0.6)4+4C3(0.6)4*(0.4)1+5C3(0.6)4*(0.4)2+6C3(0.6)4*(0.4)3 =0.7102

hence conditional probability that Boston won the World Series in 5 games knowing that Boston won the series

=P(won in 5 games)/P(won the series)=4C3(0.6)4*(0.4)1/0.7102 =0.2920

b) probability that LA won the series over Boston in six games =5C3(0.4)4*(0.6)2 =0.0922

c)

probability that Boston won the World Series over LA in seven games =6C3(0.6)4*(0.4)3 =0.1659

d)

probability that Boston won the World Series over LA =0.7102

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