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Two six-sided balanced dice are thrown find the

Two six-sided (balanced) dice are thrown. Find the probabilities of each of the following events:

(a) only 2, 3, or 4 appear on both dice;

(b) the value of the second roll subtracted from the value of the first roll is 2;

(d) the sum is 7 or 8 given one roll is 5;

(e) one roll is a 4 given the sum is 7.

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