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Question
Solve the following:
Let A and B be independent events with P(A) = `1/4`, and P(A ∪ B) = 2P(B) – P(A). Find `"P"("A"/"B")`
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Solution
It is given that, P(A) = `1/4` and
P(A U B) = 2P(B) – P(A)
= `2"P"("B") - 1/4`
`"P"("A"/"B") ` = P(A) ...[∵ A, B are independent]
= `1/4`
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