Home
Class 12
MATHS
If A and B are two events, the probabili...

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

A

`P(A)+P(B)-2P(AcapB)`

B

`P(AcapB')+P(A'capB)`

C

`P(AcupB)-P(AcapB)`

D

`P(A')+P(B')-2P(A'capB')`

Text Solution

Verified by Experts

The correct Answer is:
(a,b,c,d)
Promotional Banner

Similar Questions

Explore conceptually related problems

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

Let E and F be tow 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) deontes the probability of occurrence of the event T , then

Three six faced dice are tossed together, then the probability that exactly two of the three numbers are equal is :

Suppose A and B are two persons. The probability that A does the job is (4)/(5) and probability that B does the job is (3)/(4) . Then what is the probability that only one person does the job?

A coin is tossed twice, what is the probability that etleast one tail 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) =1/16dot Then the probability that at least one of the events occurs, is :

A coin is tossed twice, what is the probability that at least one tail occurs?

If 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').

The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of neither A nor B is ……….