Check whether the following probabilities P(A) and P(B) are consistently defined

(i) P(A) = 0.5, P(B) = 0.7, P(A B) = 0.6

(ii) P(A) = 0.5, P(B) = 0.4, P(A B) = 0.8

(i) Here P(A) = 0.5, P(B) = 0.7 and

Now

Therefore, the given probabilities are not consistently defined.

(ii) P(A) = 0.5, P(B) = 0.4,

Therefore, the given probabilities are consistently defined.