Answer :

Given: A and B are the events such that P(A) = and P(B) = and


P(not A or not B) =


To Find: i)If A and B are mutually exclusive


Since P(not A or not B) = i.e., P() =


we know that , P() = P(AB)’= 1- P(AB) =


P(AB) = 1- = Equation 1


Since for two mutually exclusive events P(AB) = 0


But here P(AB) 0


Therefore , A and B are not mutually exclusive.


ii)If A and B are independent


The condition for two events to be independent is given by


P(E1 E2) = P(E1) P(E2)


=


= Equation 2


Since Equation 1 Equation 2


A and B are not independent


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