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

If A and B are two events, the probability that exactly one of them occurs is given by

The probability that atleast one of the both of the two events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.3, evaluate P(barA)+P(barB) .

If A and B are independent, then P (exactly one of A, B occurs) = P(A) P (B') + P(B)P(A').

f A and B are two independent events, then the probability of occurrence of at least one of A and B is given by = 1-P(A') P(B')

Let E and F be two independent events. The probability that exactly one of them occurs is 11/25 and the probability if none of them occurring is 2/25 . If P(T) denotes the probability of occurrence of the event T , then

Let A, B, C be three events. If the probability of occurring exactly one event out of A and B is 1 - a, out of B and C is 1 - 2a, out of C and A is 1 - a and that of occuring three events simultaneously is a^(2) , then prove that probability that at least one out of A, B, C will occur is greater than 1/2.

If P (E) denotes probability of occurrence of event E, then :

True or false If A and B are independent then P(exacttly one of A and B occurs)=P(A)P(B')+P(A')P(B).

Fill ups If A,B,c are three independent events such that P(A)=P(B)=P( C)=p, then p(exactly one of A, B,C occurs)=……………… .

For three events A ,B and C ,P (Exactly one of A or B occurs) =P (Exactly one of B or C occurs) =P (Exactly one of C or A occurs) =1/4 and P (All the three events occur simultaneously) =1/6dot Then the probability that at least one of the events occurs, is : 7/(64) (2) 3/(16) (3) 7/(32) (4) 7/(16)