Question

Two events, A and B, are mutually exclusive and each has a nonzero probability. If event A is known to occur, the probability of the occurrence of event B is

A.One

B.Any positive value

C.Zero

D. Any value between 0 to 1

Suppose that the probability of event A is 0.2 and the probability of event B is 0.4. Also, suppose that the two events are independent. Then P(A∩B) is:

a.P(A) = 0.2

b. P(A)/P(B) = 0.2/0.4 = 0.05

c. P(A) × P(B) = (0.2)(0.4) = 0.08

d. None of the above

Answer 1

Note: Events A and B are mutually exclusive if their joint probability is zero.

Q.1) Two events, A and B, are mutually exclusive and each has a nonzero probability. If event A is known to occur, the probability of the occurrence of event B is zero.

Answer: C) zero

Q.2) Given that, P(A) = 0.2 and P(B) = 0.4

suppose events A and B are independent then,

Answer: c) P(A) × P(B) = (0.2) (0.4) = 0.08