Consider the two events A Obese 8 Male for persons in the

Consider the two events. A = [Obese] 8 = [Male] for persons in the age group 20-39 years old. A survey taken in early 2008 by the National Center for Health Statistics, suggests the probabilities P(A) = 0.2, P(B) = 0.4, P(AB) = 0.14. Find the conditional probability that B does not occur given that A occurs.

Solution

As

P(B-|A) = P(B- n A) / P(A)

and

P(B- n A) = P(A) - P(A n B) = 0.2 - 0.14 = 0.06

Then

P(B-|A) = P(B- n A) / P(A) = 0.06/0.2 = 0.30 [ANSWER]