1. Holt Geometry 3-1 Lines and Angles S-CP.A.1 S-CP.A.3 S-CP.A.4 S-CP.A.5 S-CP.B.6 S-CP.B.8

2. Holt Geometry 3-1 Lines and Angles

3. Holt Geometry 3-1 Lines and Angles  Conditional Probability

4. Holt Geometry 3-1 Lines and Angles  Paper for notes  Pearson 11.4  Graphing Calc.

5. Holt Geometry 3-1 Lines and Angles  Paper for notes  Pearson 11.4  Calculator

6. Holt Geometry 3-1 Lines and Angles TOPIC: 11.4 Conditional Probability Name: Daisy Basset Date : Period: Subject: Notes Objective: Understand the conditional probability of A given B.

7. Holt Geometry 3-1 Lines and Angles Vocabulary  Conditional probability

8. Holt Geometry 3-1 Lines and Angles 1. The table shows students by gender and type of school in 2014. You pick a student at random. Round to nearest 100 th. Males (in 1000’s) Females (in 1000’s) 2-yr colleges 18662462 4-yr colleges 43245517 Grad. School 13491954

9. Holt Geometry 3-1 Lines and Angles A. What is P(female/grad school)? P(F/G) = # females in grad school total # of grad students

10. Holt Geometry 3-1 Lines and Angles B. What is P(female)? P(F) = total # of females total # of students

11. Holt Geometry 3-1 Lines and Angles C. What is P(4-year/male)? P(4Y/M) = # of males at 4-yr total # of male students

12. Holt Geometry 3-1 Lines and Angles 2. Americans recycle increasing amounts through municipal waste collection. The table shows the collection data for 2007.

13. Holt Geometry 3-1 Lines and Angles MaterialRecycledNot Recycled Paper 41.937.8 Metal 7.213.6 Glass 3.29.4 Plastic 2.128.6 Other 21.046.3

14. Holt Geometry 3-1 Lines and Angles A. What is the probability that a sample of recycled waste is paper? Round to nearest percent.

15. Holt Geometry 3-1 Lines and Angles What is P(Paper/Recycled)? P(P/R) = amt. of paper recycled total amt. of recycled mat.

16. Holt Geometry 3-1 Lines and Angles B. What is the probability that a sample of recycled waste is plastic? Round to nearest percent.

17. Holt Geometry 3-1 Lines and Angles What is P(Plastic/Recycled)? P(Pl/R) = amt. of plastic recycled total amt. of recycled mat.

18. Holt Geometry 3-1 Lines and Angles SummarySummarize/reflect D What did I do? L What did I learn? I What did I find most interesting? Q What questions do I still have? What do I need clarified?

19. Holt Geometry 3-1 Lines and Angles Hmwk 11.4 A: Practice: 8 - 15 Work on the Study Plan

20. Holt Geometry 3-1 Lines and Angles

21. Holt Geometry 3-1 Lines and Angles  Notes 11.4  Calculator

22. Holt Geometry 3-1 Lines and Angles 3. A school system compiled the following information from a survey it sent to people who were juniors 10 years earlier.

23. Holt Geometry 3-1 Lines and Angles 85% of the students graduated from high school. Of the students who graduated from HS, 90% are happy with their present jobs. Of the students who did not graduate from HS, 60% are happy with their present jobs.

24. Holt Geometry 3-1 Lines and Angles What is the probability that a member of the junior class 10 yrs. ago graduated from high school and is happy with his or her present job? Make a tree diagram to organize the information.

25. Holt Geometry 3-1 Lines and Angles Let G = graduated, NG = not graduated Let H = happy with present job, NH = not happy with present job G NG 0.85 0.15 H H NH 0.90 0.10 0.60 0.40

26. Holt Geometry 3-1 Lines and Angles G NG 0.85 0.15 H H NH 0.90 0.10 0.60 0.40 Each 2 nd branch represents a conditional probability. P(H/G) = Each 1st branch represents a simple probability. P(G) =

27. Holt Geometry 3-1 Lines and Angles G NG 0.85 0.15 H H NH 0.90 0.10 0.60 0.40 P(G and H) = The blue path represents graduated and happy. P(G) P(H/G)

28. Holt Geometry 3-1 Lines and Angles G 0.85 H NH 0.90 0.10 P(G and H) = P(G) P(H/G) = 0.85 0.90 = 0.765

29. Holt Geometry 3-1 Lines and Angles The probability that a person from the junior class 10 yrs. ago graduated and is happy with his or her present job is 0.765, or ____%. 76.5

30. Holt Geometry 3-1 Lines and Angles SummarySummarize/reflect D What did I do? L What did I learn? I What did I find most interesting? Q What questions do I still have? What do I need clarified?

31. Holt Geometry 3-1 Lines and Angles Hmwk 11.4 B Math XL Work on the Study Plan