`Aa n dB` are two independent events. `C` is event in which exactly one of `AorB` occurs. Prove that `P(C)geqP(AuuB)P(AnnB)dot`

If A and B are two independent events and P( C) = 0, then A, B, C are :

If A and B are two independent events the write P(Auu B ) in terms of P(A) and P(B)dot

If M and N are any two events,then the probability that exactly one of them occurs is

The probability of simultaneous occurrence of at least one of two events A and B is p.If the probability that exactly one of A,B occurs is q then prove that P(bar(A))+P(bar(B))=2-2p+q

For any two events A and B; Prove that exactly one of the A; B occurs is given by P(A)+P(B)-2P(A uu B)=P(A uu B)-P(A nn B)

If A and B are two independent events,prove that P(A uu B).P(A'nn B')<=P(C), where C is an event defined that exactly one of A and B occurs.