Question

The office found that P(A) = 54%, P(B)=34%, and P(Aand B)=18%. Based on these findings, are events A and B independent or dependent? Explain your reasoning.

Answer 1

Events A and B are dependent because the probability of A and B occurring together (P(A and B)) is not equal to the product of their individual probabilities (P(A) * P(B)). If A and B were independent, then P(A and B) would be equal to P(A) * P(B). Since they are not equal, A and B are dependent events.