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Question
If A and B are two independent events with P(A) = `3/5` and P(B) = `4/9`, then P(A′ ∩ B′) equals ______.
Options
`4/15`
`8/45`
`1/3`
`2/9`
Solution
If A and B are two independent events with P(A) = `3/5` and P(B) = `4/9`, then P(A′ ∩ B′) equals `2/9`.
Explanation:
Given that: A and B are independent events
Such that P(A) = `3/5`
∴ P(A') = `1 - 3/5 = 2/5`
P(B) = `4/9`
∴ P(B') = `1 - 4/9 = 5/9`
∴ P(A' ∩ B′) = P(A') . P(B')
= `2/5*5/9`
= `2/9`
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