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MATH 12 Suppose you have a pair of dice

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MATH 12 Suppose you have a pair of dice

A MATHEMATICAL LOOK AT POLITICS

14.2. Suppose you have a pair of dice, one red and one green, each marked with the numbers 1 to 6. When the pair of dice is rolled, the sample space consists of 36 outcomes.

  1. (a)  Draw a diagram of this sample space as a 6-by-6 matrix.
  2. (b)  What is the probability of getting a pair of 6’s?
  3. (c)  How many di↵erent ways can the dice come up as “doubles” (both dice show the same number). What is the probability of doubles?
  4. (d)  How many di↵erent ways can the sum of the two dice come up 7? What is the probability of getting a sum of 7?
  5. (e)  What has a higher probability: getting a sum of 4 or getting a sum

of 6?

A MATHEMATICAL LOOK AT POLITICS

14.12. What is the expected value of the roll of a single die? What is the expected value of the roll of a pair of dice? Look at the result of Problem 14.2.