Which of the following statements is true if and only if events A and B are independent?
A) P(A∪B) = P(A) + P(B)
B) P(A∩B) = P(A) ∙ P(B)
C) P(A∩B) = P(A) ∙ P

Question

Quizplus · Accepted Answer

If events A and B are independent, then the probability of the intersection of A and B (i.e. A∩B) is equal to the product of their probabilities (i.e. P(A) ∙ P(B)). This is the definition of independence. Choice A is the formula for the probability of the union of A and B, which is not directly related to independence. Choice C is missing the probability of event B in the equation. Choice D is unrelated to the question.

Which of the Following Statements Is True If and Only