For Exercise 4.54, see page 195; for 4.55, see page 197; for 4.56, see page 198; for 4.57 and 4.58, see pages 198–199; for 4.59 and 4.60, see page 200; and for 4.61, see page 202.
4.54 Probability that sum of dice is a multiple of 4.
Suppose you roll a pair of dice and you record the sum of the dice. What is the probability that the sum is a multiple of 4?