Misc 1
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Misc 1 A and B are two events such that P (A) ≠ 0. Find P(B|A), if (i) A is a subset of B Since A is a subset of B So, A ⊂ B ∴ A ∩ B = A So, P(A ∩ B) = P(A) Now, P(B|A) = 𝑃(𝐵 ∩ 𝐴)𝑃(𝐴) = 𝑃(𝐴 ∩ 𝐵)𝑃(𝐴) = 𝑃(𝐴)𝑃(𝐴) = 1 ∴ P(B|A) = 1 Misc 1 A and B are two events such that P (A) ≠ 0. Find P(B|A), if (ii) A ∩ B = φ A ∩ B = φ P(A ∩ B) = 0 P(B|A) = 𝑃(𝐵 ∩ 𝐴)𝑃(𝐴) = 𝑃(𝐴 ∩ 𝐵)𝑃(𝐴) = 0𝑃(𝐴) = 0 ∴ P(B|A) = 0
Chapter 13 Class 12 Probability
Serial order wise
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Davneet Singh
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