The probability of A is 035 the probability of B is 060 and

The probability of A is 0.35, the probability of B is 0.60, and the probability of both is 0.25.

Part 1: What is the conditional probability of A, given B?

Part 2 : Are A and B independent in a probability sense? ( explain why they are or aren\'t)

Solution

p(A|B) = p(A and B)/P(B)

=0.25/0.60

=0.42

P(A and B) = 0.25

P(A)X P(B) = 0.35X0.60 = 0.21

which is not equal to P(A and B)

hence A and B are not independent