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

NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options

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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)}.