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conditional Probability help please?

P(A)=13 , P(B)=35 and P(A|B)=12 . what is P(B|A) ?
Original post by Tommehh
P(A)=13 , P(B)=35 and P(A|B)=12 . what is P(B|A) ?


Hint: Bayes' Theorem.
Original post by Tommehh
P(A)=13 , P(B)=35 and P(A|B)=12 . what is P(B|A) ?


P(A and B) = P(A)*P(B|A)

Also,

P(A and B) = P(B)*P(A|B)

Combining the above equations gives,

P(A)*P(B|A) = P(B)*P(A|B)

Therefore,

P(B|A) = P(B)*P(A|B)/P(A)

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