Mathematics (AS & A Level) · Oct / Nov 2016 · Paper 61 · Question 2

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. [5]

Read automatically from the paper; the printed page above is exact.