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Formula for Bayes theorem is ________(a) P(A|B) = \(\frac{P(B│A)P(A)}{P(B)}\)(b) P(A|B) = \(\frac{P(A)}{P(B)}\)(c) P(A|B) = \(\frac{P(B│A)}{P(B)}\)(d) P(A|B) = \(\frac{1}{P(B)}\)The question was posed to me in an online quiz.Query is from Bayes Theorem in portion Probability of Mathematics – Class 12

Answer» CORRECT answer is (a) P(A|B) = \(\frac{P(B│A)P(A)}{P(B)}\)

For explanation: Bayes theorem FORMULA is P(A|B) = \(\frac{P(B│A)P(A)}{P(B)}\)

The formula provides relationship between P(A|B) and P(B|A). It is mainly derived from conditional PROBABILITY formula P(A|B) and P(B|A). Where,

P(A|B) = \(\frac{P(A∩B)}{P(B)}\).

P(B|A) = \(\frac{P(B∩A)}{P(A)}\).


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