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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)

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#### 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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