12.(ii) Check whether the following probabilities and are consistently defined
P(A B) = P(A)+ P(B) - P(A B)
0.8 = 0.5 + 0.4 - P(A B)
P(A B) = 0.9 - 0.8 = 0.1
Therefore, P(A B) < P(A) and P(A B) < P(B) , which satisfies the condition.
Hence, the probabilities are consistently defined
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