describe probability using hyper geometric distribution
The City Transit Authority plans to hire eight new bus drivers. From a group of hundred qualified applicants, of whom fifty five are men and forty five are women, eight names are to be selected by lot. Presume that Mary and John Lewis are among the hundred qualified applicants.
1) 1.1) What is the probability that Mary's name will be selected?
1.2) What is the probability that both Mary's and John's names will be selected? (Round your answer to four decimal places)
2) 2.1) If it is stipulated that an equal number of men and women are to be selected (four men from the group on fifty five men and four women from the group of forty five women), find the probability that Mary's name will be selected? (Round your answer to four decimal places)
2.2) What is the probability that Mary's and John's names will be selected? (Round your answer to four decimal places)