If two events are independent, then
A) they must be mutually exclusive.
B) the sum of their probabilities must be equal to one.
C) their intersection must be zero.
D) the product of their probabilities gives their intersection.

Question

Quizplus · Accepted Answer

If two events are independent, then their probabilities do not affect each other. Therefore, the probability of both events occurring together (their intersection) is simply the product of their individual probabilities. For example, if event A has a probability of 0.3 and event B has a probability of 0.5, and they are independent, then the probability of both A and B occurring together is 0.3 x 0.5 = 0.15. Therefore, D is the correct choice.

If Two Events Are Independent, Then