Question Number: #Mat1531

p(a|b)=p(b|a), which of the following must be true of a and b, if p(a∩b)>0?

A.) they are mutually exclusive
B.) they happen with equal probability
C.) they are independent
D.) p(a∩b)=p(a).p(b)

Answer is option : B


p(a|b)=p(a∩b)/p(b) similarly p(b|a)=p(a∩b)|p(a), equating both the expressions on right hand side of the equations to satisfy the given condition, we get p(a)=p(b).

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