SOLUTION: The probability of the movie you want being at the Kroger redbox is 67% and the probability that the BlockBuster machine has the movie you want is 76 %. The probability that both h

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Question 1178543: The probability of the movie you want being at the Kroger redbox is 67% and the probability that the BlockBuster machine has the movie you want is 76 %. The probability that both have the movie is 56%.
A. What is the probability that neither machine has the movie you want?
B. What is the probability that only Rebox has the movie you want?
Explain

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
The probability of the movie you want being at the Kroger redbox is 67% and the probability
that the BlockBuster machine has the movie you want is 76 %. The probability that both have the movie is 56%.
A. What is the probability that neither machine has the movie you want?
B. What is the probability that only Rebox has the movie you want?
~~~~~~~~~~~~~~~~~ 


(A)  I will solve it in two steps.


         P(at least one) = 67% + 76% - 56% = 87%.


         Hence  P(no one) = 1 - P(at least one) =  1 - 87% = 13%.      ANSWER



(B)  P(only Redbox) = 67% - 56% = 11%.      ANSWER

Solved.



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