1. Describe what a simple event is in probability. 2. Define compound probability.

3. If A and B are two independent events in a probability experiment, what rule can be used to determine the probability that both events occur simultaneously?

4. If A and B are two dependent events in a probability experiment, what rule can be used to determine the probability that both events occur simultaneously?

For problems 5–7, determine whether the events described are independent or dependent.
5. A month is selected at random; a number from 1 to 25 is selected at random.

6. A letter of the alphabet is selected at random; one of the remaining letters is selected at random.

7. A jar contains four blue marbles and two green marbles. Saundra chooses a marble at random and does not replace it. Then she chooses a second marble.

For problems 8–10, determine whether the events described are independent or dependent. Then answer each question.

8. You have three different hats you can wear to a costume party: a baseball cap, a top hat, and a cowboy hat. You also have four different colored shirts: blue, red, green, and black. If you choose one hat and one shirt at random, what is the probability that you choose the top hat and the red shirt?

9. You have a box with 3 red marbles, 2 blue marbles, and 4 green marbles. You pull out one marble, leave it out of the box, and then pull out another marble. What is the probability of puling out a green marble followed by a blue marble?

10. Suppose you draw two cards from a standard deck of cards, one after another, without replacing the first card. What is the probability that the first card is the queen of hearts and the second is a diamond?