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Last updated at Feb. 15, 2020 by Teachoo
Transcript
Misc 18 If P(A|B) > P(A), then which of the following is correct : (A) P(B|A) < P(B) (B) P(A โฉ B) < P(A) . P(B) (C) P(B|A) > P(B) (D) P(B|A) = P(B) Given P(A|B) > P(A) (๐(๐ด โฉ ๐ต))/(๐(๐ต))>"P(A") P(A โฉ B) > P(A) . P(B) Finding P(B|A) P(B|A) = (๐(๐ด โฉ ๐ต))/(๐(๐ด)) From (1) P(A โฉ B) > P(A) . P(B) Dividing by P(A) both sides (๐(๐ด โฉ ๐ต))/(๐(๐ด))>(๐(๐ด). ๐(๐ต))/(๐(๐ด)) P(B|A) > P(B) So, C is the correct answer.
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