Question: A fair die is rolled three times and the random variable X records the number of different outcomes that result. For example, if two 5's

A fair die is rolled three times and the random variable X records the number of different outcomes that result. For example, if two 5's and one 4 are rolled, then X records two different outcomes. Determine
(a) The probability for X.
(b) E(X).
(c) Var(X).

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