Introducing your new favourite teacher - Teachoo Black, at only βΉ83 per month
Conditional Probability - Values given
Last updated at Aug. 11, 2021 by Teachoo
Ex 13.1, 17 If A and B are events such that P(A|B) = P(B|A), then (A) A β B but A β B (B) A = B (C) A β© B = Ο (D) P(A) = P(B)Given P(A|B) = P(B|A) (π(π΄ β© π΅))/(π(π΄)) = (π(π΅ β© π΄))/(π(π΅)) (π(π΄ β© π΅))/(π(π΄)) = (π(π΄ β© π΅))/(π(π΅)) 1/(π(π΄)) = 1/(π(π΅)) β΄ "P(A) = P(B)" So, option (D) is correct (Since "P(B"β©"A)" = "P(A"β©"B) ")