Unusual dice. Nonstandard dice can produce interesting distributions ofoutcomes. You

Chapter 0, Problem 10.47

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Unusual dice. Nonstandard dice can produce interesting distributions ofoutcomes. You have two balanced, six-sided dice. One is a standard die, with faceshaving 1, 2, 3, 4, 5, and 6 spots. The other die has three faces with 0 spots andthree faces with 6 spots. Find the probability distribution for the total number ofspots Y on the up-faces when you roll these two dice. (Hint: Start with a picturelike Figure 10.2 for the possible up-faces. Label the three 0 faces on the second die0a, 0b, 0c in your picture, and similarly distinguish the three 6 faces.)

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