# Suppose you roll a fair die n times. What is the expectations of each of the following random variables?

Suppose you roll a fair die n times. What is the expectations of each of the following random variables?

(a) A is the random variable that denotes the sum of the numbers in those rolls.

(b) B is the random variable that denotes the maximum number in the those rolls.

(c) C is the random variable that denotes the sum of the largest two numbers in the first three rolls.

(d) D is the random variable that denotes the number of multiples of three in those rolls.

(e) E is the random variable that denotes the number of faces which fail to appear in those rolls.

(f) F is the random variable that denotes the number of distinct faces that appear in those rolls.

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