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)

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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) = (๐‘ƒ(๐ต โˆฉ ๐ด))/(๐‘ƒ(๐ด)) 0.6 = (๐‘ƒ(๐ด โˆฉ ๐ต))/(๐‘ƒ(๐ด)) 0.6 = (๐‘ƒ(๐ด โˆฉ ๐ต))/(0. 4) P(A โˆฉ B) = 0.6 ร— 0.4 P(A โˆฉ B) = 0.24 โˆด P(A โˆฉ B) = 0.32 P(A|B) = (๐‘ƒ(๐ด โˆฉ ๐ต))/(๐‘ƒ(๐ต)) = 0.24/0.8 = 24/80 = 3/10 = 0.3 โˆด P(A|B) = 0.3

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Davneet Singh
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.