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A red die, a blue die, and a yellow die (all six sided) are rolled. We are interested in the probability that the number appearing

A red die, a blue die, and a yellow die (all six sided) are rolled. We are interested in the probability that the number appearing on the blue die islessthanthatappearingontheyellowdie,which is less than that appearing on the red die. That is,

with B, Y, andR denoting, respectively, the number appearing on the blue, yellow, and red die, we are interested in P(B Y R). (a) Whatistheprobabilitythatnotwoofthedice land on the same number? (b) Giventhatnotwoofthedicelandonthesame number, what is the conditional probability that B Y R? (c) What is P(B Y R)?

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