### 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.

You can download the question paper here https://www.teachoo.com/cbse/sample-papers/

Last updated at Sept. 14, 2018 by Teachoo

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

You can download the question paper here https://www.teachoo.com/cbse/sample-papers/

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) = (๐(๐ต โฉ ๐ด))/(๐(๐ด)) 0.6 = (๐(๐ด โฉ ๐ต))/(๐(๐ด)) 0.6 = (๐(๐ด โฉ ๐ต))/(0. 4) P(A โฉ B) = 0.6 ร 0.4 P(A โฉ B) = 0.24 โด P(A โฉ B) = 0.32 P(A|B) = (๐(๐ด โฉ ๐ต))/(๐(๐ต)) = 0.24/0.8 = 24/80 = 3/10 = 0.3 โด P(A|B) = 0.3

CBSE Sample Paper Class 12 - 2017-18

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Question 12 You are here

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Class 12

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.