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The one digit prime numbers are 2, 3, 5 and 7. The probabilities of getting these numbers are as follows:

  • P(X=2) = 1/36
  • P(X=3) = 2/36
  • P(X=5) = 4/36
  • P(X=7) = 6/36

Adding these probabilities up, the probability that Randy will roll one of these numbers is 13/36.

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