Question 12 - CBSE Class 12 Sample Paper for 2018 Boards
Last updated at Sept. 14, 2018 by Teachoo

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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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

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