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Chapter 1

Problem 3

A class contains seven boys and eight girls. (a) If two are selected at random to leave the room, what is the probability that they are of different sexes? (b) On two separate occasions, a child is selected at random to leave the room. What is the probability that the two choices result in children of different sexes?

Problem 9

A fair coin is tossed four times. What is the probability of (a) At least three heads? (b) Exactly three heads? (c) A run of three or more consecutive heads? (d) A run of exactly three consecutive heads?

Problem 15

Four fair dice are rolled and the four numbers shown are multiplied together. What is the probability that this product (a) Is divisible by 5 ? (b) Has last digit 5 ?

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