web analytics

Misc 18 - If P(A|B) > P(A), which is correct - NCERT - Miscellaneous

Slide57.JPG

  1. Chapter 13 Class 12 Probability
  2. Serial order wise
Ask Download

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 ∩ 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) 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.

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
Jail