8. The composition of the 108th Congress is 50 Republicans, 48 Democrats, and 2 Independent. A committee on aid to higher education is to be formed with 3 Senators to be chosen at random to head the committee. Find the probability that the group of 3 consists of a. All Democrats b. One Democrat, one Republican, and one Independent

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.

an after-school club consists of 10 juniors and 7 seniors. If 4 students are chosen at random to represent the club at a school fair, what is the probability that at least one student from each class level is selected?

10 students from each of Engineering, Science, Humanities, and Social Science were nominated to represent their faculties. 9 of these 40 students will be randomly chosen to be on the student council. Find the probability that at least one of the four faculties will be unrepresented on the student council.

Jean puts 12 books on a shelf in random order. Three are by the same author. What is the probability that those 3 books will be next to each other?

consider a political discussion group of 6 democrats, 5 republicans, and 3 independents.  If two group members are randomly chosen, in succession, to attend a convention.  What is the probability of selecting an independent and then a democrat?

Consider a political discussion group consisting of 4 ​Democrats, 9 ​Republicans, and 6 Independents. Suppose that two group members are randomly​ selected, in​ succession, to attend a political convention. Find the probability of selecting two Democrats.

The mathematics faculty at a college consists of 7 ​professors,11associate​ professors, 4 assistant​ professors, and 12 instructors. If one faculty member is randomly​ selected, find the probability of choosing a professor or an instructor. The probability is                   type an fraction or integer

A spinner is equally divided into five sectors. Each sector is painted with colors: Red, Blue, Yellow, Green, and White. What is the probability of spinning a Red OR a White color on the spinner? *

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.