A red die, a blue die, and a yellow die (all sixsided) are
Chapter 3, Problem 3.22(choose chapter or problem)
A red die, a blue die, and a yellow die (all sixsided) are rolled. We are interested in the probabilitythat the number appearing on the blue dieis less than that appearing on the yellow die, whichis less than that appearing on the red die. That is,with B, Y, and R denoting, respectively, the numberappearing on the blue, yellow, and red die, weare interested in P(B < Y < R).(a) What is the probability that no two of the diceland on the same number?(b) Given that no two of the dice land on the samenumber, what is the conditional probabilitythat B < Y < R?(c) What is P(B < Y < R)?
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