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If for any two events A and B, P(A) = 45 and P(A ∩ B) = 710, then P(BA) is equal to ______.

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Question

If for any two events A and B, P(A) = `4/5` and P(A ∩ B) = `7/10`, then `P(B/A)` is equal to ______.

Options

  • `1/10`

  • `1/8`

  • `7/8`

  • `17/20`

MCQ
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Solution

If for any two events A and B, P(A) = `4/5` and P(A ∩ B) = `7/10`, then `P(B/A)` is equal to `underlinebb(7/8)`.

Explanation:

P(A) = `4/5`, P(A ∩ B) = `7/10`

So `P(B/A) = (P(B ∩ A))/(P(A))`

= `(7/10)/(4/5)`

= `7/8`.

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