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Nov 2016 p61 q2
2918
Two fair six-sided dice with faces numbered 1, 2, 3, 4, 5, 6 are thrown and the two scores are noted. The difference between the two scores is defined as follows.
- If the scores are equal the difference is zero.
- If the scores are not equal the difference is the larger score minus the smaller score.
Find the expectation of the difference between the two scores.
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