If P(B|A)> P(B), show that P( B ’A) < P(B ’). [Hint: Add P( B’|A) to both sides o...

If P(B|A)> P(B), show that P( B ’A) < P(B ’). [Hint: Add P( B’|A) to both sides of the given inequality and then use the result of Exercise 56.]

Reference exercise -56

For any events A and B with P(B) > 0, show that P(A|B)+ P(A’|B)= 1