14. Which of the following statements is correct given that the events A and B

have nonzero probabilities?

(A) A and B are always independent

(B) A and B cannot be both independent and mutually exclusive

(C) A and B are always mutually exclusive

(D) A and B can be both independent and mutually exclusive

15. If P(A) = 0.20, P(B) = 0.30 and P(A and B) = 0.06, then A and B are:

(A) mutually exclusive events

(B) dependent events

(C) complementary events

(D) independent events

16. Two events A and B are said to be mutually exclusive if:

(A) P(A/B) = 1

(B) P(B/A) = 1

(C) P(A and B) = 0

(D) P(A and B) = 1

(E) none of the above

17. If A and B are independent then:

(A) P(A/B) = 0

(B) P(A/B) =P(B)

(C) P(A and B) = 0

(D) P(A/B) = P(A)

(E) none of the above

18. If A and B are mutually exclusive then:

(A) P(A/B) = 0

(B) P(A/B) =P(B)

(C) P(A or B) = 0

(D) P(A/B) = P(A)

(E) none of the above