Question

If P(A ∩ B) = .50, can P(A) = .20?

Multiple Choice

A. Only if P(B ∩ A) = .60

B. Only if P(A | B) = .10

C. If P(A) = .20, then P(A ∩ B) cannot equal .50.

D. Not unless P(B) = .30

Answer 1

Answer:

C. If P(A) = .20, then P(A ∩ B) cannot equal .50.

Explanation:

If P(A ∩ B) = 0.50, then P(A) should be at least 0.50. This means, P(A) should be equal to 0.50 or more.

If P(A) = .20, then P(A ∩ B) cannot equal .50. It should be less than or equal to 0.20.