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| Probability of A happening as well as B = (Conditional Probability
of A given B) X (Probability of B happening):
P(A,B)=P(A|B)P(B) This is called Bayes Theorem. As P(A,B)=P(B,A), we also have P(A,B)=P(B,A)=P(B|A)P(A) Combining these two we find: P(A|B)P(B)=P(B|A)P(A) This is another form of Bayes Theorem. |
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