Suppose you roll two fair, six-sided dice. a. What is the probability that the sum of the two dice is even? b. What is the probability that the sum of the two dice is even given that one of the dice has an odd number showing?
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Since each die has 6 sides, there are $6 \times 6 = 36$ possible outcomes. Now, let's find the number of outcomes where the sum of the two dice is even. An even sum can be obtained in two ways: either both dice show an even number or both dice show an odd number. Show more…
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