If PA0 and PB0 and events A and B are independent thenSoluti

If P(A)>0 and P(B)>0 and events A and B are independent, then:

Solution

A and B are independent, this does not mean that P(A)=P(B).

Independence means P(A, given B) i.e., P(A |B)=P(A)

This is because, P(A | B)=P(A and B) /P(B)= P(A)*P(B) / P(B) =P(A)

(Note that P(A and B)=P(A)*P(B) because of independence of A and B)

So, B is correct.