Question

For which set of probabilities would events A and B be independent?
A) P(A) = 0.20; P(B) = 0.20; P(A and B) = 0.4
B) P(A) = 0.08; P(B) = 0.40; P(A and B) = 0.20
C) P(A) = 0.16; P(B) = 0.24; P(A and B) = 0.08
D) P(A) = 0.30; P(B) = 0.20; P(A and B) = 0.06

Answer 1

The answer is a because set of probalitie

Answer 2

D is the correct answer. To solve this use the Multiplication Rule for Independent events. Multipy P(A) times P(B) and if they equal P(A and B), then the probability is independent. If it does not equal P(A and B) then it is not independent.