1. According to an advertising study, 15% of television viewers who have seen a certaif\ automobile commercial can correctly identify the actor who docs the voice-over. Suppose th.at 10 such people are watching TV and the commercial comes on. What is the probability that at least one of them can name the actor? What is the probability that exactly one can name the actor?

2. A fair die .is rolled and then n fair coins are tossed, where n is the number showing on the die. What is the prob.ability that no heads appear?

3. Each of m urns contains three red chips and four white chips. A total of r samples with replacement are taken from each um. What is the probability that at least one red chip is drawn from at least one um?

4. If two fair dire are tossed. what is the smallest number of throws, n, for which the probability of getting at least one double six exreeds 05? (Note: This was one of the first problems that de Mere communicated to Pascal in 1654.)

5. A pair of fair dice are roJled until the first sum of eight appears. What is !.he probabili ty that a sum of seven does not precede that first sum of eight?
6. An um contains w white chips, b black ch.ips, and r red chips. The chips are drawn out at random, one al a time, wit h replacement. What is the probability that a white appears before a red?