4. Among the contestants in a competition are 42 women and 28 men. If 4 winners are randomly selected, what is the probability that they are all women. Show work.

A class contains 8 boys and 7 girls. The teacher selects 3 of the children at random and without replacement. Compute the probability that the number of girls selected exceeds the number of boys selected.

Of 27 employees at a local​ supermarket, 15 work as cashiers and 12 stock shelves. If 3 employees are selected at random to work​ overtime, determine the probability that all 3 are cashiers.

A jar contains 6 red marbles, 7 green marbles, and 7 blue marbles. What is the probability that you draw 3 green marbles in a row if you do replace the marbles after each draw? = What is the probability that you draw 8 blue marbles in a row if you don't replace the marbles after each draw? :

A teacher will pick 1 student at random from 20 for the lead in a play. What is the probability of a student, Jo, of winning?

9. A committee of 12 is to be selected from 18 soccer players and 15 basketball players. What is the probability that the number of soccer players on the committee is triple the number of basketball players.

If a fiancial services committee had 60 members, of which 10 were women, if 8 members are selected at random, find the probability that the group of 8 would be composed of 7 men and 1 woman.