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Algebra
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When rolling two dice, which outcome is more likely a sum of 4 or a sum of 6?
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The sample space has 36 possible combinations of numbers. These can be set out in column form as follows: 6,6 5,6 4,6 3,6 2,6 1,6 6,5 5,5 4,5 3,5 2,5 1,5 6,4 5,4 4,4 3,4 2,4 1,4 6,3 5,3 4,3 3,3 2,3 1,3 6,2 5,2 4,2 3,2 2,2 1,2 6,1 5,1 4,1 3,1 2,1 1,1 So you need to find the number of sums of 4, and the number of sums of 6.
Each of the possible 36 possible outcomes has an equal probability, therefore the greater of the number of sums of 4 and the number of sums of 6 is the more likely.
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