­1. What is the probability of rolling a five on a single roll of a die? What are the odds for this event?

2. From a sample of 9,750 Ajax trucks, 273 developed transmission problems within the first two years of operation. What is the probability that an Ajax truck will develop transmission problems within the first two years?

3. If the standard odds are 8 to 5 that the Chargers will beat the Lions, what is the probability that this event will happen?

­4. From a sample of 7,335 seventy-five-year-old women, 6,260 lived an additional five years. What is the probability that a seventy-five-year-old woman will live to age eighty?

5. What is the probability of picking a black jack from a poker deck (without jokers) on a single draw?

6. If the probability of the Red Sox beating the Tigers is 6/17, what are the odds for this event?

­7. Given an urn containing three red balls, four green balls, and five yellow balls, what is the probability of drawing a red ball on a single draw?

8. If the odds of the Broncos beating the Dolphins is 5 to 4, and you bet $10 on the Broncos, how much do you stand to win?

9. Given an urn containing four red balls, three green balls, and five yellow balls, what are the odds of drawing a red ball on a single draw?

­10. Suppose you give 1:6 odds that you can roll a “1” with a single fair die. If someone accepts your bet, how much could you expect to win after 100 rolls if you bet $1 on each roll?

11. Suppose four weather forecasters assign the following probabilities that it will rain tomorrow: 1/4, 1/5, 2/5, 1/3. What is the probability that this event will happen?

12. Given a regular dodecahedron (a twelve-sided solid in which each face is a regular pentagon that is congruent with each of the other faces): If this solid is rolled on a surface, what is the probability that a specifically named face will be in contact with the surface?

­13. Suppose three people enter a total of nine horses in a race. Bob enters two, Jane enters three, and Kate enters four. If each horse has an equal chance of winning, what is the probability that one of Kate’s horses wins?

14. Over a ten-year period, in a given population, there were 5,491 births, and thirteen of the babies had a certain genetic disorder. What is the probability that one of the babies born during this period had the disorder?

15. Five bettors give the following odds that Black Mercury will win in the sixth race: 7 to 5, 2 to 1, 8 to 3, 5 to 2, and 7 to 4. Based on these odds, what is the probability that Black Mercury will win?

Compute probabilities or odds for the following simple events.