1. During the last week of the semester, it was estimated that 1 in 5 students had the flu. If you interact randomly with other students, what is the probability that you meet at least one person carrying the flu in 12 encounters?

2. In the game BINGO, there are 15 of each of the letters B, I, N, G, O.

a. What is the probability of drawing 4 B's in a row (drawings are without replacement)?

b. What is the probability of drawing 2 I's and then 2 G's (drawings are without replacement)?

3. You have 15 CDs and a cartridge that holds 5 CDs at a time. How many different ways can you load the cartridge with CDs? Explain the assumptions used in your solution.

4. Your softball team has 15 players. How many different 11-player lineups can be formed? Explain the assumptions used in your solution.

5. Of the 150 women at a conference, 60 are Democrats. Of the 100 men at the same conference, 75 are Republicans. Assume you meet people at the conference randomly.

a. What is the probability that you meet a Republican woman in your first encounter?

b. What is the probability that you meet a Republican in your first encounter?

c. What is the probability that you meet a man in your first encounter?

d. What is the probability that you meet a Democrat or a man in your first encounter?

6. A weather forecaster predicts a 30% chance of rain on each of the next five days.

a. What is the probability that it rains on the first two days.

b. What is the probability that it rains on all five days?

c. What is the probability that it rains at least once during the five days?

7. How many telephone area codes (3 digits) can be formed assuming that a zero cannot be used for the first digit?

8. If you flip four coins at once, what is the probability that you will get three heads and a tail?

9. If you draw a single card from a regular deck of cards, what is the probability that it is a jack or a queen or a king?

10. Next semester you have a choice of 4 history course, 5 literature courses, and 6 science courses. How many different schedules can you make that consist of one history, one literature, and one science course?