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

Events A and B are said to independent if
P(A and B) = P(A).P(B)
In d, the above condition is satisfied. Therefore, d is correct.