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.

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Presentation transcript:

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

Holt Geometry 3-1 Lines and Angles

Holt Geometry 3-1 Lines and Angles  Conditional Probability

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

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

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.

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

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

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

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

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

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

Holt Geometry 3-1 Lines and Angles MaterialRecycledNot Recycled Paper Metal Glass Plastic Other

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

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

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

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

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?

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

Holt Geometry 3-1 Lines and Angles

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

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.

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.

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.

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 H H NH

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

Holt Geometry 3-1 Lines and Angles G NG H H NH P(G and H) = The blue path represents graduated and happy. P(G) P(H/G)

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

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

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?

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