Misc 12 (MCQ) - Chapter 13 Class 12 Probability

Last updated at Dec. 16, 2024 by

Misc 12 (MCQ) - If P(A|B) > P(A), which is correct - NCERT - Miscellaneous

part 2 - Misc 12 (MCQ) - Miscellaneous - Serial order wise - Chapter 13 Class 12 Probability

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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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo