1. Let A and B be two independent events for which P(A) = 0.15 and P(B) = 0.3. Find P(A and B).

2. .045

3. Prizes are given for 1 st through 3 rd place finishes. If 7 teams are competing, how many different ways may the prizes be presented?

4. 210

5. If P(A) = 0.4 P(B) = 0.2 and P(A or B) = 0.5, find the sum of P(A and B) and P(A|B).

6. 0.6

7. A sporting goods store estimates that 20% of the students at a nearby university ski downhill and 15% ski cross-country. Of those who ski downhill, 40% also ski cross-country. What percentage of these students ski both downhill and cross-country?

8. 0.08

9. There are 6 boys and 4 girls in a club. In how many ways can a committee of 3 boys and 2 girls be formed?

10. 120

11. Three coins are tossed at the same time. What is the probability that exactly two coins will land with heads up?

12. 3/8

13. How many 4 digit odd numbers can be formed from 1, 2, 3, 5, 7, 8 if repetition is not allowed?

14. 240

15. Let A and B be two mutually exclusive events for which P(A) = 0.15 and P(B) = 0.3. Find P(A and B).

16. 0

17. Suppose that 60% of all customers of a large insurance agency have automobile policies with the agency, 40 % have homeowners’ policies, and 25% have both. Find P(randomly chosen customer has neither type of policy).

18. 0.25

19. Two dice are tossed. What is the probability of getting a sum of 5 or 10?

20. 0.19

21. Suppose a bag contains 5 red and 3 blue marbles. Three marbles are selected without replacement. What is the probability of selecting at least one blue marble?

22. 0.82

23. You drive on a long vacation. The probability you will have a flat tire is 0.1, and that you will have engine trouble is 0.05. Assuming the two events are independent, find the probability that you will have only a flat tire or only engine trouble.

24. 0.145