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Let E(1) and E(2) be two events such tha...

Let `E_(1)` and `E_(2)` be two events such that `P(E_(1))=0.3, P(E_(1) uu E_(2))=0.4` and `P(E_(2))=x`. Find the value of x such that
(i) `E_(1)` and `E_(2)` are mutually exclusive,
(ii) `E_(1)` and `E_(2)` are independent.

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