The probability of event b given event a

Reference no: EM13121197

Probability : Events
Let A and B be events, both having positive probability.
Show that if P(A|B) > P(A), then P(B|A) > P(B).

We know the following definitions:
Conditional Probability:
The probability of event B given event A is P(B|A)=P(AandB)/P(A)
The probability of event A given event B is P(A|B)=P(Aand B)/P(B)

Independent Events:
Two events A and B are said to be independent if
P(A|B)=P(A) or P(B|A)=P(B)

Reference no: EM13121197

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