Two events E1 and E2 are said to be independent if p(E1∩E2) =p(E1)p(E2). Two (fair, standard)...

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Two events E1 and E2 are said to be independent if p(E1∩E2)=p(E1)p(E2). Two (fair, standard) dice are rolled, and their sum isfound.

(a) Are the events “the sum is even” and “the sum is greaterthan 7” independent?

(b) Are the events “the sum is a multiple of 3” and “the sum isgreater than 7”independent?

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