# Question

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;

(c) The sum is 10 given that one roll is 6;

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

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

(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;

(c) The sum is 10 given that one roll is 6;

(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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