Ex 13.1, 17 (MCQ) - Chapter 13 Class 12 Probability

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Ex 13.1, 17 (MCQ) - If A and B are events such that P(A|B) = P(B|A) - Ex 13.1

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Ex 13.1, 17 If A and B are events such that P(A|B) = P(B|A), then (A) A โŠ‚ B but A โ‰  B (B) A = B (C) A โˆฉ B = ฯ† (D) P(A) = P(B)Given P(A|B) = P(B|A) (๐‘ƒ(๐ด โˆฉ ๐ต))/(๐‘ƒ(๐ด)) = (๐‘ƒ(๐ด โˆฉ ๐ต))/(๐‘ƒ(๐ต)) 1/(๐‘ƒ(๐ด)) = 1/(๐‘ƒ(๐ต)) โˆด "P(A) = P(B)" So, option (D) is correct

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