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A and B are two events, not mutually ex...

A and B are two events, not mutually exclusive, connected with a random experiment E. If `P(A)=(1)/(4), P(B)=(2)/(5)` and `P(A cup B) =(1)/(2)`, find the values of the following probabilities :
(i) ` P(A cap B)`
(ii) `P (A cap B^(c ))`
(iii) `P(A^(c ) cup B^(c ))`

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