Consider four nonstandard dice (the Efron dice), whose sides are labeled as follows (the
Chapter 2, Problem 32(choose chapter or problem)
Consider four nonstandard dice (the Efron dice), whose sides are labeled as follows (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 for die 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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