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A and B are two events such that P (A) ≠ 0. Find P (B|A), if A ∩ B = Φ.

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Question

A and B are two events such that P (A) ≠ 0. Find P (B|A), if A ∩ B = Φ.

Sum
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Solution

P(B|A) = `(P(B ∩ A))/(P(A)) = (P(A))/(P(A)) = 1`

A ∩ B = Φ i.e, P(A ∩ B) = P(Φ) = 0

⇒ P(B ∩ A) =`(P(B ∩ A))/(P(A)) = 0/(P(A)) = 0`

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Chapter 13: Probability - Exercise 13.6 [Page 582]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 13 Probability
Exercise 13.6 | Q 1.2 | Page 582

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