Question 12 - CBSE Class 12 Sample Paper for 2018 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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