1. 8-1 Introduction to ProbabilityIntroduction to Probability 8-2 Experimental ProbabilityExperimental Probability 8-3 Theoretical ProbabilityTheoretical Probability 8-4 Sample SpacesSample Spaces 8-5 Disjoint EventsDisjoint Events 8-6 Independent and Dependent EventsIndependent and Dependent Events 8-7 Making PredictionsMaking PredictionsPreview Warm Ups

2. Warm Up Write each fraction in simplest form. 1. 15 21 2. 48 64 3. 9 81 4. 30 45 5757 3434 1919 2323 8-1 Introduction to Probability

3. Warm Up 1. A jar contains 24 marbles: 6 red, 8 blue, and 10 white marbles. Would you be more likely to pull out a red or blue marble? Determine if the event is impossible, unlikely, as likely as not, likely, or certain. 2. Attendance at a city council meeting is at 100%. Mr. Lloyd is a council member. How likely is it that Mr. Lloyd is at the meeting? blue certain 8-2 Experimental Probability

4. Warm Up Gina takes a marble from a bag, records the color, and then replaces it. She repeats these steps 20 times. Her results are 6 red marbles, 12 blue marbles, and 2 green marbles. Find the experimental probability of each event. 1. drawing a red marble from the bag 2. drawing a blue marble from the bag 3. drawing a green marble from the bag 3535 3 10 1 10 8-3 Theoretical Probability

5. Warm Up 1. A dog catches 8 out of 14 flying disks thrown. What is the experimental probability that it will catch the next one? 2. If Ted popped 8 balloons out of 12 tries, what is the experimental probability that he will pop the next balloon? 4747 2323 8-4 Sample Spaces

6. Warm Up A bag contains 18 marbles; 4 are green, 8 are red, and 6 are yellow. Find the probability of each event when a marble is chosen at random. 1. yellow2. red 3. green4. blue 5. not red 1313 0 4949 2929 5959 8-5 Disjoint Events

7. Warm Up Write each answer as a ratio, as a decimal, and as a percent. A 1–6 number cube is rolled. 1. What is the probability that an even number will result? 2. What is the probability that the number will be prime? 1212 1212, 0.5, 50% 8-6 Independent and Dependent Events

8. Warm Up 1. Zachary rolled a fair number cube twice. Find the probability of the number cube showing an odd number both times. 2. Larissa rolled a fair number cube twice. Find the probability of the number cube showing a 3 both times. 1 4 __ 1 36 ___8-7 Making Predictions