Misc 12 (MCQ) - Chapter 13 Class 12 Probability

Last updated at Aug. 16, 2023 by

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Misc 12 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 ∩ 𝐵))/(𝑃(𝐵))>"P(A") P(A ∩ B) > P(A) . P(B) Finding P(B|A) P(B|A) = (𝑃(𝐴 ∩ 𝐵))/(𝑃(𝐴)) From (1) P(A ∩ B) > P(A) . P(B) Dividing by P(A) both sides (𝑃(𝐴 ∩ 𝐵))/(𝑃(𝐴))>(𝑃(𝐴). 𝑃(𝐵))/(𝑃(𝐴)) P(B|A) > P(B) So, C is the correct answer.

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.