Question 1145316
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(i)   P = {{{(5/8)*(4/7)}}} = {{{20/56}}} = {{{5/14}}}.


      The formula is self-explanatory.



(ii)  P = P(first is a man; second is a women) + P(first is a woman and second is a women) = {{{(3/8)*(5/7)}}} + {{{(5/8)*(4/7)}}} = {{{(15+20)/56}}} = {{{35/56}}} = {{{5/8}}}.



(iii) The given fact that the second candidate was a women, means that the first candidate-women was selected among other <U>four</U> women.


      The conditional probability to have such a selection is  {{{4/5}}}.


      Simply saying, the selection in this case is made entirely among 5 women.
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I am glad that after my noticing in


https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1145142.html


you found and fixed your error in your previous post.