In a class of 19 students there are 12 men and 7 women Four

In a class of 19 students, there are 12 men and 7 women. Four students are selected to present a demonstration on the use of graphing calculators. Find the probability that the group consists of all men, women, one man three women, two men, two women.

Solution

P( all men) = (12C4)/(19C4) = 0.1277

P(all women) = (7C4)/(19C4) = 0.0090

P(one man and three women) = (12C1)×(7C3)/(19C4) = 0.1084

P(two men and two women) = (12C2)×(7C2)/(19C2) = 0.3576