1. Three cars, a Mazda, a Honda, and a Ford, are in a quarter-mile race. The probability that the Mazda will win the race is 2/3, and the probability that the Honda will win is 1/4. Assuming no ties are possible, what is the probability that the Ford will win the race?
2. In a study, the residents of Edinburgh, Scotland, were classified as having either black hair, brown hair, blonde hair, or red hair. The probabilities of a randomly selected resident having black, brown, or blonde hair are .17, .47, and .20 respectively. Assuming each resident has one of these four hair colors,
(a) What is the probability that a randomly selected resident has red hair?
(b) What is the probability that a randomly selected resident has brown or black hair?
(c) What is the probability that a randomly selected resident does not have blonde hair?
3. On a certain campus, the probability that a student selected at random has liberal political views is .28. The probability of having middle-of-the-road political views is twice the probability of having conservative political views. What is the probability that a student selected at random has conservative political views?