#Mat3722 : Questions from Mathematics on probability


Question Number: #Mat3722

Suppose that A and B are two non-trivial events (i.e. each event happens with non-zero probability) such that  P(A|B)=P(B|A). Which of the following is a sufficient condition for the equation above to hold?


Options:
A.) They are mutually exclusive
B.) They are independent
C.) P(A∩B)=P(A).P(B)
D.) NA


Answer is option : A

Solution:

If A and B are mutually exclusive then P(A∩B)=0, which is a sufficient condition for the equation to be correct.


Question Related Topics:
probability
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