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Two dice are thrown . Event A is " the sum of the two dice is ?" and Event B is " at least one die is 6. " Are A and Binependent ? |
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Answer» Solution :From Example` C, P(A) = (6)/(36)` . EventB incules (1 and 6) , (2 and 6) ,.., 96 and 6) , (6 and 1), (6 and 2),…,(6 and 5) , so ` P(B) = (11)/(36)` . Onlythe two throws (6 and 1) and (1 and 5 ) are in the event ` A|B, so P(A|B) = (2)/(36) , P(B)P(A) = ((1)/(36)) ((6)/(36)) = (11)/(216) ne (2)/(36) ` . so A and B are not INDEPENDENT. |
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