Let A and B be events with $P ( A ) = 0.5 , P ( B ) = 0.6 , \text { and } P ( A \text { and } B ) = 0.05 . \text { Are } A \text { and } B$ independent?

Question

Quizplus · Accepted Answer

A and B are not independent because the probability of their intersection, P(A and B), is not equal to the product of their individual probabilities, P(A) and P(B), i.e., P(A and B) ≠ P(A)P(B).

Let a and B Be Events With P(A)=0.5,P(B)=0.6, and P(A and B)=0.05. Are A and BP ( A ) = 0.5 , P ( B ) = 0.6 , \text { and } P ( A \text { and } B ) = 0.05 . \text { Are } A \text { and } BP(A)=0.5,P(B)=0.6, and P(A and B)=0.05. Are A and B

Let a and B Be Events With $P ( A ) = 0.5 , P ( B ) = 0.6 , \text { and } P ( A \text { and } B ) = 0.05 . \text { Are } A \text { and } B$