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1. How many permutations are possible of the letters in the word secret? 2. Julie, Dan, Janet, Kevin, and Michael all enter a contest. Two names are pulled.

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Presentation on theme: "1. How many permutations are possible of the letters in the word secret? 2. Julie, Dan, Janet, Kevin, and Michael all enter a contest. Two names are pulled."— Presentation transcript:

1 1. How many permutations are possible of the letters in the word secret? 2. Julie, Dan, Janet, Kevin, and Michael all enter a contest. Two names are pulled out of a hat one at a time. In how many ways can the contest winners be selected? 3. A child has the magnetic letters, V, O, L, E. In how many ways can the letters be arranged? 4. Carlos, Sierra, and Nicole go to the movies and sit in a row of three seats. How many seating arrangements are possible? 5. In how many ways can a football coach arrange the first five players in a lineup of eleven players? Course 2, Lesson 9-7

2 ANSWERS 1. 720 2. 20 3. 24 4. 6 5. 55, 440

3 HOW can you predict the outcome of future events? Statistics and Probability Course 2, Lesson 9-7

4 Course 2, Lesson 9-7 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. Statistics and Probability 7.SP.8 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. 7.SP.8a Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. 7.SP.8b Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose the event.

5 Course 2, Lesson 9-7 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. Statistics and Probability Mathematical Practices 1Make sense of problems and persevere in solving them. 3Construct viable arguments and critique the reasoning of others. 4Model with mathematics.

6 To find the probability of independent events To find the probability of dependent events Course 2, Lesson 9-7 Statistics and Probability

7 Course 2, Lesson 9-7 Statistics and Probability independent events dependent events

8 Course 2, Lesson 9-7 Statistics and Probability WordsThe probability of two independent events can be found by multiplying the probability of the first event by the probability of the second event. SymbolsP(A and B) = P(A) P(B)

9 Course 2, Lesson 9-7 Statistics and Probability WordsIf two events A and B are dependent, then the probability of both events occurring is the product of the probability of A and the probability of B after A occurs. SymbolsP(A and B) = P(A) P(B following A)

10 How did what you learned today help you answer the Course 2, Lesson 9-7 Geometry Statistics and Probability HOW can you predict the outcome of future events?

11 How did what you learned today help you answer the Course 2, Lesson 9-7 Geometry Statistics and Probability HOW can you predict the outcome of future events? Sample answers: To find the probability of independent events, like rolling a number cube and randomly selecting a marble To find the probability of dependent events, like randomly selecting two marbles without replacing the first marble

12 Explain how to determine the probability of two independent events occurring. Course 2, Lesson 9-7 Ratios and Proportional RelationshipsFunctions Statistics and Probability

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