Question

The probability that Evan purchases a comic book from the bookstore (event A) is 0.67, and the probability that Glen purchases a comic book from the bookstore (event B) is 0.74. The probability that both Evan and Glen purchase a comic book is 0.2442. Given this information, which statement is true?

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

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

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

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

Answer 1

Okay, two events are indpendent if and only if P(A and B) = P(A)P(B)
So, is the probability that they both buy comic books the product of their individual probabilities?

Answer 2

So if 0.67*0.74 = 0.4958
0.4958 does not equal 02.442