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Question

If A and B are two independent events such that P(AB')=325, and P(A'B)=825, then P(A)=


A

15

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B

38

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C

25

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D

45

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Solution

The correct option is A

15


Explanation for the correct option:

Step 1. Find the value of P(A):

Given that, A and B are independent events.

P(AB')=P(A).P(B')=325

P(A).1-P(B)=325 ..…(1)

Similarly, P(A'B)=P(A').P(B)

=825

P(B).1-P(A)=825 ..…(2)

Step 2. On solving equation (1) and (2), we get

P(A)=825-325P(A)=525P(A)=15

Hence, Option ‘A’ is Correct.


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