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Find the expectation of the difference obtained from the two scores.
Mathematics 9709 · AS & A Level · Linear combinations of random variables
Linear combinations of random variables — practice question
A pair of fair six-sided dice numbered $1, 2, 3, 4, 5, 6$ are rolled, and both results are recorded. The difference between the two scores is defined in the following way. If the two scores are the same, the difference is zero. If the scores are different, the difference is the larger score minus the smaller score.
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