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Consider four nonstandard dice, whose sides are labeled as follows (the 6 sides on each die...

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Basic Math

Consider four nonstandard dice, whose sides are labeled asfollows (the 6 sides on each die are equally likely).

A: 4, 4, 4, 4, 0, 0

B: 3, 3, 3, 3, 3, 3

C: 6, 6, 2, 2, 2, 2

D: 5, 5, 5, 1, 1, 1

These four dice are each rolled once. Let A be the result fordie A, B be the result for die B, etc.

(a) Find P(A > B), P(B > C), P(C >D), and P(D> A).

(b) Is the event A > B independent of the event B> C? Is the event B > C independent of the event C >D?Explain.

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