If P(A∩B) = 0.50, can P(A) = 0.20?
A)Only if P(A | B) = 0.10
B)Not unless P(B) = 0.30
C)Only if P(B∩A) = 0.60
D)If P(A) = 0.20, then P(A∩B) cannot equal 0.50.

Question

Quizplus · Accepted Answer

The probability of the intersection of A and B (P(A∩B)) cannot be greater than the probability of either event individually. If P(A) = 0.20, then P(A∩B) cannot be 0.50, as the intersection cannot have a higher probability than either event alone.

If P(A∩B) = 0.50, Can P(A) = 0.20