1. A ball is drawn randomly from a jar that contains 6 red balls, 2 white balls, and 5 yellow balls. Find the probability of the given event. a. A red ball is drawn b. A white ball is drawn

2. A group of people were asked if they had run a red light in the last year. 150 responded "yes", and 185 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year.

3. Compute the probability of tossing a six-sided die (with sides numbered 1 through 6) and getting a five.

4. Compute the probability of tossing a six-sided die and getting a 7

5. If you pick one card at random from a standard deck of cards, what is the probability it will be a Diamond?

6. Compute the probability of rolling a 12-sided die and getting a number other than 8.

7. If you pick one card at random from a standard deck of cards, what is the probability it is not the Ace of Spades?

8. A six-sided die is rolled twice. What is the probability of showing a 6 on both rolls?

9. Compute the probability of drawing two spades from a deck of cards.

10. A math class consists of 25 students, 14 females and 11 males. Three students are selected at random to participate in a probability experiment. Compute the probability that a. a male is selected, then two females. b. a female is selected, then two males. c. two females are selected, then one male. d. three males are selected. e. three females are selected.

11. A jar contains 6 red marbles numbered 1 to 6 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability the marble is red or odd numbered.

12. Find the probability of rolling a "1" on a fair die, given that the last 3 rolls were all ones

13. A boy owns 2 pairs of pants, 3 shirts, 8 ties, and 2 jackets. How many different outfits can he wear to school if he must wear one of each item?

14. All of the license plates in a particular state feature three letters followed by three digits (e.g. ABC 123). How many different license plate numbers are available to the state's Department of Motor Vehicles?

15. A computer password must be eight characters long. How many passwords are possible if only the 26 letters of the alphabet are allowed?

16. In how many ways can first, second, and third prizes be awarded in a contest with 210 contestants?

17. In a lottery game, a player picks six numbers from 1 to 48. If 5 of the 6 numbers matches those drawn, they player wins second prize. What is the probability of winning this prize?

18. In a lottery game, a player picks six numbers from 1 to 23. If the player matches all six numbers, they win 30,000 dollars. Otherwise, they lose $1. Find the expected value of this game.

19. An insurance company estimates the probability of an earthquake in the next year to be 0.0013. The average damage done by an earthquake it estimates to be $60,000. If the company offers earthquake insurance for $100, what is their expected value of the policy?