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Question
Check whether the following probabilities P(A) and P(B) are consistently defined
P(A) = 0.5, P(B) = 0.4, P(A ∪ B) = 0.8
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Solution
Here P(A) = 0.5, P(B) = 0.4, P(A ∪ B) = 0.8
Now
P(A ∩ B) = P(A) + P(B) – P(A ∪ B)
= 0.5 + 0.4 – 0.8
∴ P(A ∩ B) = 0.1
Hence, P(A) and P(B) are consistently defined.
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