Formula for Bayes theorem is ________

Category: QuestionsFormula for Bayes theorem is ________
Editor">Editor Staff asked 11 months ago

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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1 Answers
Editor">Editor Staff answered 11 months ago

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)}.