Question

The City Transit Authority plans to hire 14 new bus drivers. From a group of 100 qualified applicants, of whom 55 are men and 45 are women, 14 names are to be selected by lot. Suppose that Mary and John Lewis are among the 100 qualified applicants.

Answer 1

since the question doesn't tell anything about the selected applicant must be 1 woman and 1 man, you can disregard the number of each gender.

Their chance would be :
14 !/100