Question 1129752
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We are given  P(M) = 0.4;  P(W) = 0.5;  and  P(M|W) = 0.7.


The latest means that  {{{P(MnW)/P(W)}}} = 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.     <U>ANSWER</U>


    (B)  The probability under (B) is  P(W|M) = {{{P(WnM)/P(M)}}} = {{{0.35/0.4}}} = {{{7/8}}}.    <U>ANSWER</U>


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