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If A and B are two events such that P(A) = 0.4, P(B) = 0.8 and P(B|A) = 0.6, then find P(A|B)

This is a question of CBSE Sample Paper - Class 12 - 2017/18.

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If P(A) = 0.4, P(B) = 0.8, P(B|A) = 0.6, then find P (A|B) - Teachoo

Question 12 - CBSE Class 12 Sample Paper for 2018 Boards - Part 2

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Transcript

Question 12 If A and B are two events such that P(A) = 0.4, P(B) = 0.8 and P(B|A) = 0.6, then find P(A|B) P(A) = 0.4 , P(B) = 0.8 & P(B|A) = 0.6 Now, we know that P(B|A) = (𝑃(𝐵 ∩ 𝐴))/(𝑃(𝐴)) 0.6 = (𝑃(𝐴 ∩ 𝐵))/(𝑃(𝐴)) 0.6 = (𝑃(𝐴 ∩ 𝐵))/(0. 4) P(A ∩ B) = 0.6 × 0.4 P(A ∩ B) = 0.24 ∴ P(A ∩ B) = 0.32 P(A|B) = (𝑃(𝐴 ∩ 𝐵))/(𝑃(𝐵)) = 0.24/0.8 = 24/80 = 3/10 = 0.3 ∴ P(A|B) = 0.3

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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.