Q5 of 63 Page 976

If A and B be two events associated with a random experiment such that P(A) = 0.3, P(B) = 0.2 and P(A ∩ B) = 0.1, find

(i)


(ii)


(i) Given : P(A) = 0.3, P(B) = 0.2 , P(A ∩ B) = 0.1


To find :


Formula used : = P(B) - P(A ∩ B)


Substituting in the above formula we get,


= 0.2 – 0.1


= 0.1


= 0.1


(ii) Given : P(A) = 0.3, P(B) = 0.2 , P(A ∩ B) = 0.1


To find :


Formula used : = P(A) - P(A ∩ B)


Substituting in the above formula we get,


= 0.3 – 0.1


= 0.2


= 0.2


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3

In a random experiment, let A and B be events such that P(A or B) = 0.7, P(A and B) = 0.3 and = 0.4. Find P(B).

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(ii)


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