Question 1129749
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
<pre>
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
</pre>
(A) the probability that a married couple watches the show. 
<pre>
the probability that the married couple (both man and woman) watch the show =
P(M&#5198;W) = P(W)&#8729;P(M|W) = 0.5&#8729;0.7 = 0.35
</pre>
(B) the probability that a wife watches the show given that her husband does.
<pre>                 
P(W|M) = P(W&#5198;M)/P(M) = P(M&#5198;W)/P(M) = 0.35/0.4 = 7/8
</pre>
(C) the probability that at least 1 person of married couple will watch
the show
<pre>
P(M&#5196;W) = P(M)+P(W)-P(M&#5198;W) = 0.4+0.5-0.35 = 0.55

Edwin</pre>