The 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
Let M = the event that the man watches the show.
Let W = the event that the woman watches the show.
Given:
P(M) = 0.4
P(W) = 0.5
P(M|W) = 0.7
(A) the probability that a married couple watches the show.
the probability that the married couple (both man and woman) watch the show =
P(MᑎW) = P(W)∙P(M|W) = 0.5∙0.7 = 0.35
(B) the probability that a wife watches the show given that her husband does.
P(W|M) = P(WᑎM)/P(M) = P(MᑎW)/P(M) = 0.35/0.4 = 7/8
(C) the probability that at least 1 person of married couple will watch
the show
P(MᑌW) = P(M)+P(W)-P(MᑎW) = 0.4+0.5-0.35 = 0.55
Edwin
