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Given that P(A U B) = k, P( A ) = 0.4, P( B ) = 0.2, determine the value of k if (i) A

Given that P(A U B) =  k,  P( A ) = 0.4,  P( B ) = 0.2, determine the value of k if
(i)    A and B are independent.  (ii)   A and B are mutually exclusive.  (iii) B is contained in A.


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