31- Consider a political discussion group consisting of 5 Democrats, 7 Republicans, and 5 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting no Democrats.

Suppose you are going to form a committee of students and faculty. You have 9 total students and 18 total faculty to pick from. You want to have 9 total people on the committee. What is the probability that you select 2 students and 7 faculty, in that order? Enter your answer rounded to three decimals. Show your work. Enter the work that you used to get your answer.

A four-person committee is randomly selected from a pool of 19 Americans and 131 Canadians. What is the event of selecting an American for the first person and the event of selecting an American for the second event person?

A committee of five people is to be chosen at random from a club with 13 members comprised of five men and eight women. What is the probability that 2 men and 3 women are chosen?