10. Consider four nonstandard dice (the Efron dice), whose sides are labeled as follows (the 6...

Question

Question

10. 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).

The total outcomes of rolling A and B is 36. The outcomes that B is bigger than A is 12. Thus P(A>B)=24/36

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

Answer 1

Answer #1

Answer 2

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