A fair die is tossed twice. A discrete random variable M is defined as the minimum...

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A fair die is rolled three times. Let X denote the number of different faces showing, X = 1, 2, 3. Find E(X).
Suppose a fair die is tossed three times. Let X be the largest of the three faces that appear. Find pX (k).
Suppose a fair die is tossed three times. Let X be the number of different faces that appear (so X = 1, 2, or 3). Find pX (k).
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