1. Bellwork Which is larger? The area of the blue region or the area of the red region? Which is larger? The area of the blue region or the area of the red region? 14 No Clickers 11111 What is the probability of rolling a 4 and a 5 on a pair of dice? What is the probability of rolling a 4 and a 5 on a pair of dice?

2. Bellwork Solution Which is larger? The area of the blue region or the area of the red region? Which is larger? The area of the blue region or the area of the red region? 14 11111

3. Bellwork Solution What is the probability of rolling a 4 and a 5 on a pair of dice? What is the probability of rolling a 4 and a 5 on a pair of dice?

4. Use Geometric Probability Section 11.7

5. The Concept Up until now we’ve just been looking at how to figure areas of various geometric figures Up until now we’ve just been looking at how to figure areas of various geometric figures Today we’re going to apply what we’ve been learning by combining it with what we know about probability Today we’re going to apply what we’ve been learning by combining it with what we know about probability

6. Probability Revisited We understand probability as This makes obvious sense if we’re discussing the concept of traditional events e.g. dice, cards, free throws, marbles, etc… We however need to adapt this to fit a geometric construct Let’s look at our bellwork example

7. Bellwork Solution, Revisited We found the area of the blue region to be 11π and the area of the red region to be 14π. We found the area of the blue region to be 11π and the area of the red region to be 14π. 11111 Given this, what would be the probability of throwing a dart and hitting the red region? Given this, what would be the probability of throwing a dart and hitting the red region?

8. Probability Revisited Based on our example, we can amend our equation to: This system works for lengths, just as it does for areas For Example, What is the possibility of choosing a point on AB that lies between M&K A B J K L M N5 4 6.5 9.2 8.9 13

9. More linear probability Given our school day, what is the probability that you will get called to see Mr. Ukaoma during 7 th hour, if you he has told you that he will be calling you out? 1234L567

10. Example What is the probability of randomly choosing a point in the green space? r=10 units

11. Area A persons’ land is shaped like the figure below. The EPA detects a high level of PCB’s at a point source. What is the probability that the source is in the 1055’ 200’ In the Honey Clover Field? App. Shore line 825’ Soybeans House Honey Clover 225’ 300’ 350’ 660’ 275’ 375’ In the area by the House? In one of the two fields?

12. Homework 11.7 1, 3-14, 20-26, 31-33

13. Most Important Points Geometric ProbabilityGeometric Probability