[NOTE: For remainder of test, express probabilities as reduced fractions or rounded to 4 decimal places or rounded to the nearest hundredth of a percent.]

Use the following table for problems 11-15. The table shows the responses of125 people to the question of whether they prefer Coffee or Tea or Neither.

Coffee Tea Neither Total

Male 30 10 15 55

Female 35 20 15 70

Total 65 30 30 125

11. What is the probability that a randomly selected person prefers Coffee?

12. What is the probability that a randomly selected person is Female?

13. What is the probability that a randomly selected person prefers Tea or is Male?

14. What is the probability that a randomly selected person prefers Tea given that the person is Male?

15. Given that a Female and Male are randomly selected for a "blind" date, what is the probability they will both prefer Coffee?

Use the following information for problems16-20. An urn contains 5 marbles with the following colors: Red, White, Blue, Green, and Yellow. You cannot see into the urn and all the marbles have the same feel, so the selections are random.

16. If three marblesare picked out one at a time (without replacement), how many different permutations can there be?

17. If three marbles are picked out one at a time (without replacement), how many different combinations can there be?

18. If only one marble is picked, what is the probability that it is not Red?

19. If two marbles are picked (with replacement), what is the probability that both marbles are Green?

20. If two marbles are picked (without replacement), what is the probability that one of the marblespicked will be Red and the other one Green? [Hint: For this problem, the first marble picked could be either Red or Green.]