Two unbiased four-sided dice, having the (C) numbers 1, 2, 3 and 4 on their faces, are

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Two unbiased four-sided dice, having the (C) numbers 1, 2, 3 and 4 on their faces, are thrown together. The random variable D represents the modulus of the difference between the numbers on the two hidden faces.

(a) Show that P(D=1)=}

(b) Calculate the probability for each of the other possible values of D.

(c) Calculate the expected value of D. (NEAB)

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