Check sibling questions

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


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(𝐡 ∩ 𝐴))/(𝑃(𝐴)) 0.6 = (𝑃(𝐴 ∩ 𝐡))/(𝑃(𝐴)) 0.6 = (𝑃(𝐴 ∩ 𝐡))/(0. 4) P(A ∩ B) = 0.6 Γ— 0.4 P(A ∩ B) = 0.24 ∴ P(A ∩ B) = 0.32 P(A|B) = (𝑃(𝐴 ∩ 𝐡))/(𝑃(𝐡)) = 0.24/0.8 = 24/80 = 3/10 = 0.3 ∴ P(A|B) = 0.3

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.