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Expection and dice rolls

A standard 6 sided die is rolled three times.

  1. What is the expected value of the first roll ?
  2. What is the expected values of the sum of the three rolls ?
  3. What is the expected number of twos appearing in the three rolls ?
  4. What is the expected number of sixes appearing in the three rolls ?
  5. What is the expected number of odd numbers ?

Based on [Pitman, p. 182 #3]

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