A jury of 12 members is to be selected from a panel consisting of 8 men and 8 women. The qualities of the candidatesare comparable, so the final selection will be made through a ballot. (14 points)

What is the probability that all of the 8 women will be included in the 12-member jury? (3 points)

What is the probability that the jury will be evenly divided from the gender point of view? (3 points)

What is the probability that, in the jury, women will have a majority status? (4 points)

Assume that just before the ballot, one man withdraws from the panel because of unexpected illness. How wouldthe probability of having all women included in the 12-member jury, that was calculated in (a) above, be modified?(4 points)