1. Holt Geometry 9-6 Geometric Probability Warm Up Find the area of each figure. 1. 2. 3. 3 points in the figure are chosen randomly. What is the probability that they are collinear?

2. Holt Geometry 9-6 Geometric Probability Calculate geometric probabilities. Use geometric probability to predict results in real-world situations. Objectives

3. Holt Geometry 9-6 Geometric Probability Remember that in probability, the set of all possible outcomes of an experiment is called the sample space. Any set of outcomes is called an event. If every outcome in the sample space is equally likely, the theoretical probability of an event is

4. Holt Geometry 9-6 Geometric Probability Geometric probability is used when an experiment has an infinite number of outcomes. In geometric probability, the probability of an event is based on a ratio of geometric measures such as length or area. The outcomes of an experiment may be points on a segment or in a plane figure.

5. Holt Geometry 9-6 Geometric Probability

6. Holt Geometry 9-6 Geometric Probability If an event has a probability p of occurring, the probability of the event not occurring is 1 – p. Remember!

7. Holt Geometry 9-6 Geometric Probability A point is chosen randomly on PS. Find the probability of each event. The point is on RS. The point is not on QR. The point is on PQ or QR.

8. Holt Geometry 9-6 Geometric Probability Use the figure below to find the probability that the point is on BD.

9. Holt Geometry 9-6 Geometric Probability A pedestrian signal at a crosswalk has the following cycle: “WALK” for 45 seconds and “DON’T WALK” for 70 seconds. What is the probability the signal will show “WALK” when you arrive? If you arrive at the signal 40 times, predict about how many times you will have to stop and wait more than 40 seconds.

10. Holt Geometry 9-6 Geometric Probability Use the information below. What is the probability that the light will not be on red when you arrive?

11. Holt Geometry 9-6 Geometric Probability Use the spinner to find the probability of each event. the pointer landing on yellow the pointer landing on blue or red the pointer not landing on green

12. Holt Geometry 9-6 Geometric Probability Use the spinner below to find the probability of the pointer landing on red or yellow.

13. Holt Geometry 9-6 Geometric Probability Find the probability that a point chosen randomly inside the rectangle is in each shape. Round to the nearest hundredth. the circle the trapezoid one of the two squares

14. Holt Geometry 9-6 Geometric Probability Lesson Quiz: Part I A point is chosen randomly on EH. Find the probability of each event. 1. The point is on EG. 2. The point is not on EF.

15. Holt Geometry 9-6 Geometric Probability Lesson Quiz: Part II 3. An antivirus program has the following cycle: scan: 15 min, display results: 5 min, sleep: 40 min. Find the probability that the program will be scanning when you arrive at the computer. 4. Use the spinner to find the probability of the pointer landing on a shaded area.

16. Holt Geometry 9-6 Geometric Probability Lesson Quiz: Part III 5. Find the probability that a point chosen randomly inside the rectangle is in the triangle. 0.25

17. Holt Geometry 9-6 Geometric Probability Homework pg 633 8-32 evens, 38, 50,56