If A, B and C are mutually exclusive and...

If A, B and C are mutually exclusive and exhaustive events associated with a random experiment, if `P(B)=(3)/(2)P(A) and P(C)=(1)/(2)P(B)`, then P(A) is equal to

A

`(2)/(13)`

B

`(4)/(13)`

C

`(6)/(13)`

D

`(8)/(13)`

Verified by Experts

The correct Answer is:

(b)

Similar Questions

Explore conceptually related problems

A, B and C are mutually exclusive and exhaustive events. If P(B)=(3)/(2)P(A) and P(C)=(1)/(2)P(B), then find P(A).

A, B and C are mutually exclusive and exhaustive events. If 1/3P(C)=1/2P(A)=P(B), then p(B) = …..

A, B and C are mutually exclusive and exhaustive events. P(A) = 0.40, P(B) = P(C), then P(B) = ……..

If A and B are two events associated with a random experiment such that P(A)=0.3, P(B)=0.2 and P(AcapB)=0.1 , then the value of P(AcapB') is …….

If A, B C are three events associated with a random experiment, prove that P(AcupBcupC)=P(A)+P(B)+P(C)-P(AcapB)-P(AcapC)- P(BcapC)+ P(AcapBcapC) .

If A and B are two independent events with P(A)= (3)/(5) and P(B)= (4)/(9) , then P(A' cap B') equals to …….

If P(A) = 0.68 and A and B are mutually exclusive events then P(AcapB') = …. .

A and B are mutually exclusive events. P(A)=0.38, then P(AcapB')=…….

You are given that A and B are two events such that P(B)= (3)/(5), P(A//B)= (1)/(2) and P(A cup B)= (4)/(5) then P(B//A') is equal to ………