Check sibling questions

Ex 13.1, 17 - If A and B are events such that P(A|B) = P(B|A)


Transcript

Ex 13.1, 17 If A and B are events such that P(A|B) = P(B|A), then (A) A ⊂ B but A ≠ B (B) A = B (C) A ∩ B = φ (D) P(A) = P(B)Given P(A|B) = P(B|A) (𝑃(𝐴 ∩ 𝐵))/(𝑃(𝐴)) = (𝑃(𝐵 ∩ 𝐴))/(𝑃(𝐵)) (𝑃(𝐴 ∩ 𝐵))/(𝑃(𝐴)) = (𝑃(𝐴 ∩ 𝐵))/(𝑃(𝐵)) 1/(𝑃(𝐴)) = 1/(𝑃(𝐵)) ∴ "P(A) = P(B)" So, option (D) is correct (Since "P(B"∩"A)" = "P(A"∩"B) ")

Davneet Singh's photo - Teacher, Engineer, Marketer

Made by

Davneet Singh

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.