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  1. Chapter 13 Class 12 Probability
  2. Serial order wise

Transcript

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ต โˆฉ ๐ด))/(๐‘ƒ(๐ต)) (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 (Since "P(B"โˆฉ"A)" = "P(A"โˆฉ"B) ")

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.