Independent events A and B would be consistent with which of the following statements:
A)P(A) = .3, P(B) = .5, P(A∩B) = .4.
B)P(A) = .4, P(B) = .5, P(A∩B) = .2.
C)P(A) = .5, P(B) = .4, P(A∩B) = .3.
D)P(A) = .4, P(B) = .3, P(A∩B) = .5.

Question

Quizplus · Accepted Answer

For two events A and B to be independent, the probability of their intersection, P(A∩B), must equal the product of their individual probabilities, P(A) * P(B). In choice B, P(A) * P(B) = .4 * .5 = .2, which matches P(A∩B) = .2, indicating independence.

Independent Events a and B Would Be Consistent with Which