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Question
If P(A) = `1/4`, `"P"("B") = 2/5` and `"P"("A" ∪ "B") = 1/2` Find the value of the following probability: P(A ∩ B)
Solution
Here, P(A) = `1/4`, `"P"("B") = 2/5` and `"P"("A" ∪ "B") = 1/2`
P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
∴ P(A ∩ B) = P(A) + P(B) – P(A ∪ B)
= `1/4 + 2/5 - 1/2`
= `3/20`
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