Q. 42

Mark the correct alternative in each of the following:

If A and B are two independent events with then equals.

A. 4/15

B. 8/45

C. 1/3

D. 2/9

Answer :

(Given)


Now as we know,



= 1 – P(AB) (1)


Since, A and B are two independent events,


P(AB) = P(A) P(B)




(2)


Now, according to the addition theorem of probability,


P(AB) = P(A) + P(B) – P(AB)


From (2)




(3)


Using (3) in equation (1) we get,



= 1 – P(AB)



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