Suppose that for three dice of the standard type all 216 outcomes of a throw are equally likely. Denote the scores obtained by X1, X2 and X3. By counting outcomes in the events find (a) P(X1+X2+X3 ≤ 5); (b) P(min(X1,X2,X3) ≥ i) for i = 1, 2, ... 6; (c) P(X1 +X2 < (X3)2).

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Suppose that for three dice of the standard type all 216 outcomes of a throw are equally likely. Denote the scores obtained by X1, X2 and X3. By counting outcomes in the events find (a) P(X1+X2+X3 ≤ 5); (b) P(min(X1,X2,X3) ≥ i) for i = 1, 2, ... 6; (c) P(X1 +X2 < (X3)2).

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