SOLUTION: he probability that a married man watches,a certain t.v show is 0.4 and the probability that a married woman watches the show is 0.5,the probability that a man watches the show, gi

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Question 1129752: he probability that a married man watches,a certain t.v show is 0.4 and the probability that a married woman watches the show is 0.5,the probability that a man watches the show, given that his wife does is 0.7 find
(A) the probability that a married couple watches the show.
(B) the probability that a wife watches the show given that her husband does.
(C) the probability that at least 1 person of married couple will watch the show.

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
We are given  P(M) = 0.4;  P(W) = 0.5;  and  P(M|W) = 0.7.


The latest means that  P%28MnW%29%2FP%28W%29 = 0.7,  which implies  P(MnW) = 0.7*P(W) = 0.7*0.5 = 0.35.


Now I am in position to answer the questions:


    (A)  The probability under (A) is  P(MnW) = 0.35.     ANSWER


    (B)  The probability under (B) is  P(W|M) = P%28WnM%29%2FP%28M%29 = 0.35%2F0.4 = 7%2F8.    ANSWER


    (C)  The probability under (C) is  P(M U W) = P(M) + P(W) - P(MnW) = 0.5 + 0.4 - 0.35 = 0.55.    ANSWER

Solved.