Question 1168078
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            Too many questions for one post.


            I will answer three questions of the part  (a),  ONLY.



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(i)    <U>What is the probability that both</U> {{{highlight(cross(candidate))}}} {{{highlight(candidates)}}} <U>selected are women?</U>


           P = P(1st candidate is woman)*P(2nd candidate is woman) = {{{(5/8)*(4/7)}}} = {{{20/56}}} = {{{5/14}}}.    <U>ANSWER</U>




(ii)   <U>What is the probability that at least one candidate selected is a woman?</U>


           It is the COMPLEMENT to the probability that both candidates are men


               P = 1 - {{{(3/8)*(2/7)}}} = 1 - {{{6/56}}} = {{{(56-6)/56}}} = {{{50/56}}} = {{{25/28}}}.                             <U>ANSWER</U>




(iii)  <U>What is the probability that second candidate is a woman?</U>


           P = P(1st is M)*P(2nd is W) + P(1st is W)*P(2nd is W) = {{{(3/8)*(5/7) + (5/8)*(4/7)}}} = {{{15/56}}} + {{{20/56}}} = {{{35/56}}} = {{{5/8}}}.    <U>ANSWER</U>
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Solved.