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Last updated at Feb. 15, 2020 by Teachoo
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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 โ B but A โ B (B) A = B (C) A โฉ B = ฯ (D) P(A) = P(B)Given P(A|B) = P(B|A) (๐(๐ด โฉ ๐ต))/(๐(๐ด)) = (๐(๐ต โฉ ๐ด))/(๐(๐ต)) (๐(๐ด โฉ ๐ต))/(๐(๐ด)) = (๐(๐ด โฉ ๐ต))/(๐(๐ต)) 1/(๐(๐ด)) = 1/(๐(๐ต)) โด "P(A) = P(B)" So, option (D) is correct (Since "P(B"โฉ"A)" = "P(A"โฉ"B) ")
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