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Weird dice Nonstandard dice can produce interesting distributions of outcomes. Suppose

Chapter 5, Problem R5.3

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QUESTION:

Weird dice Nonstandard dice can produce interesting distributions of outcomes. Suppose you have two balanced, six-sided dice. Die A has faces with 2, 2, 2, 2, 6, and 6 spots. Die B has faces with 1, 1, 1, 5, 5, and 5 spots. Imagine that you roll both dice at the same time.

(a) Find a probability model for the difference (Die A Die B) in the total number of spots on the up-faces.

(b) Which die is more likely to roll a higher number? Justify your answer.

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QUESTION:

Weird dice Nonstandard dice can produce interesting distributions of outcomes. Suppose you have two balanced, six-sided dice. Die A has faces with 2, 2, 2, 2, 6, and 6 spots. Die B has faces with 1, 1, 1, 5, 5, and 5 spots. Imagine that you roll both dice at the same time.

(a) Find a probability model for the difference (Die A Die B) in the total number of spots on the up-faces.

(b) Which die is more likely to roll a higher number? Justify your answer.

ANSWER:

Step 1 of 4

Given that Die A has faces with 2, 2, 2, 2, 6, and 6 spots and Die B has faces with 1, 1, 1, 5, 5, and 5 spots. Imagine that we roll both dice at the same time, then let’s determine the following

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