Question

For which set of probabilities would events a and b be independent?

a.p(a) = 0.20; p(b) = 0.35; p(a and
b.= 0.07
b.p(a) = 0.12; p(b) = 0.30; p(a and
b.= 0.40
c.p(a) = 0.15; p(b) = 0.22; p(a and
b.= 0.37
d.p(a) = 0.20; p(b) = 0.40; p(a and
b.= 0.20

Answer 1

The answer is A. P(A) = 0.20; P(B) = 0.35; P(A and B) = 0.07

Explanation:

Two events (A and B) are independent if the probability of the intersection is the same as the product of each individual probability: P(A and B) = P(A) · P(B).