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Compute P(A|B), if P(B) = 0.5 and P (A ∩ B) = 0.32. - Mathematics

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Question

Compute P(A|B), if P(B) = 0.5 and P (A ∩ B) = 0.32.

Sum
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Solution

Given, P(B) = 0.5 and P(A ∩ B) = 0.32

P(A|B) = `(P(A ∩ B))/(P(B)) `

`= 0.32/0.50`

`= 32/50 `

`= 16/25`

= 0.64

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