Which of the following statements is true in general (i.e., always true for all situations)?
A) P(A∪B)= P(A) + P(B)
B) P(A∩B) = P(A) · P(B)
C) P(B∩A) = P(A) · P(B|A)
D) P(B|A) = P(A|B)

Question

Quizplus · Accepted Answer

C is correct because it represents the definition of conditional probability, specifically that the probability of B given A is equal to the probability of A and B occurring together (the intersection of A and B), divided by the probability of A. This is always true by definition.

Which of the Following Statements Is True in General (I