Consider four nonstandard dice the Efron dice whose sides ar

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>Bindependent of the event B>C? Is the eventB>Cindependent of the event C>D? Explain.

Solution