Question

The probability of Samantha scoring an A on a geology test (event A) is 0.46, and the probability of Judith scoring an A on the same test (event B) is 0.54. The probability of both Samantha and Judith scoring an A is 0.2484. Given this information, which statement is true?

Events A and B are independent because P(A and B) = P(A) × P(B).

Events A and B are independent because P(B|A) ≠ P(B).

Events A and B are dependent because P(A and B) = P(A) × P(B).

Events A and B are dependent because P(A|B) ≠ P(B).

Answer 1

A and B are independent if P(A | B) = P(A) , and P(B|A) = P(B)