Misc 18 - If P(A|B) > P(A), which is correct - NCERT - Conditional Probability - Values given

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  1. Chapter 13 Class 12 Probability
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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 B) < P(A) . P(B) (C) P(B|A) > P(B) (D) P(B|A) = P(B) Given P(A|B) > P(A) ( ) ( ) >P(A) P(A B) < P(A) . P(B) Finding P(B|A) P(B|A) = ( ) ( ) From (1) P(A B) < P(A) . P(B) P(A B) < P(A) . P(B) Dividing by P(A) both sides ( ) ( ) > . ( ) P(B|A) > P(B) So, C is the correct answer.

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.