Question

In: Statistics and Probability

Assume the probability that Cleveland wins a game over Golden State is 2/5 or 0.4. A)...

Assume the probability that Cleveland wins a game over Golden State is 2/5 or 0.4.

A) What is the probability that Golden State wins the best of seven series over Cleveland in seven games?

B) What is the probability that Cleveland wins the series over Golden State in 6 games?

C) What is the probability that Golden State wins the series in 5 games?

D) What is the probability that Cleveland wins the NBA Championship?

Solutions

Expert Solution

a)

probability that Golden State wins the best of seven series over Cleveland in seven games

=P(Golden State wins exactly 3 out of first 6 games and then wins 7th game)=P(X=7)=

==0.1659

b) probability that Cleveland wins the series over Golden State in 6 games=

=P(Golden State wins exactly 3 out of first 5 games and then wins 6th game)=P(X=6)=

==0.20736

c)

probability that Cleveland wins the series over Golden State in 5 games=

=P(Golden State wins exactly 3 out of first 4 games and then wins 5th game)=P(X=5)=

==0.20736

d)

P(X=4)= =0.1296

hence  probability that Cleveland wins the NBA Championship =P(X=4)+P(X=5)+P(X=6)+P(X=7)=0.7102

orchestra answered 2 years ago
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