Splash Screen.

Slides:

Advertisements

Similar presentations

Over Lesson 13–7 1) What is the probability of getting a 7 while rolling two number cubes? 2) What is the probability of rolling an odd number when rolling.

Advertisements

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–1) Main Idea and Vocabulary Key Concept: Probability of Independent Events Example 1:Probability.

Warm Up Use an inequality symbol to make each expression true a x 10 4 ___________ 5, 430 b. 32 ÷ ¼ ___________ 32 ÷4 c. 0.72___________¾.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 7–4) Main Idea and Vocabulary Example 1:Use a List to Find a Sample Space Example 2:Use a Tree.

COUNTING OUTCOMES PERMUTATIONS & COMBINATIONS PROBABILITY REVIEW.

Item 0 In how many ways can you form a 3-digit even number with the second digit being a prime number? Note: 058 is considered a 2-digit even number.

The Counting Principle Counting Outcomes Have you ever seen or heard the Subway or Starbucks advertising campaigns where they talk about the 10,000 different.

Counting Principles Counting Principles Chapter 6.7.

Warm-Up 4/29. Rigor: You will learn how to find the number of possible outcomes using the Fundamental Counting Principle, permutations and combinations.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 13–1) CCSS Then/Now New Vocabulary Key Concept: Factorial Example 1:Probability and Permutations.

Problem Solving Block The female American robin can produce three successful broods in one year. She may have 3 or 4 eggs in her nest, or clutch, at one.

Permutations Chapter 12 Section 7. Your mom has an iTunes account. You know iTunes requires her to enter a 7- letter password. If her password is random,

Unit 1 OUTCOMES AND LIKELIHOODS. Unit Essential Question: How do you determine, interpret, and apply principles of probability?

Find the probability and odds of simple events.

Vocabulary Tree Diagram – A way for counting possible outcomes Sample Space – List of all possible outcomes Event – Any collection of one or more outcomes.

HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Section 4.5.

Fundamental Counting Principle Probability. Tree Diagrams (remember how to draw these?) You have a photo that you want to mat and frame. You can choose.

Splash Screen. Lesson Menu Five-Minute Check (over Chapter 12) CCSS Then/Now New Vocabulary Example 1:Represent a Sample Space Example 2:Real-World Example:

Slide Slide 1 Created by Tom Wegleitner, Centreville, Virginia Edited by Olga Pilipets, San Diego, California Counting.

The Fundamental Counting Principle states that if there are x ways to choose a first item and y ways to choose a second item, then there are x(y) ways.

Transparency 2 Click the mouse button or press the Space Bar to display the answers.

TRY NOW In a power outage, Claire has to reach into her closet in the dark to get dressed. She is going to find one shirt and one pair of pants. She has.

Introductory Statistics Lesson 3.1 D Objective: SSBAT find the probability of the complement of events and applications of probability. Standards: M11.E

Make a List to Find Sample Spaces

Counting Principles and Permutations. Sample Space: set of all possible outcomes in an experiment A coin is tossed twice. Represent the sample space in.

Chapter 9 Review. 1. Give the probability of each outcome.

9-3 The Fundamental Counting Principle Pages Indicator(s)  D7.

Probability MM4D1. Essential Question… How do I find the theoretical probability of an event and apply the fundamental counting principle?

Transparency 3 Click the mouse button or press the Space Bar to display the answers.

The Fundamental Counting Principle 10-6 Learn to find the number of possible outcomes in an experiment.

(Collect Late HW: pg 458 #1-3)

Lesson 1 Menu Five-Minute Check (over Chapter 7) Main Idea and Vocabulary Targeted TEKS Example 1: Use a Tree Diagram Key Concept: Fundamental Counting.

13.3 THE FUNDAMENTAL COUNTING PRINCIPLE Objectives: Use tree diagrams to count the number of choices that can be made from sets. Use the Fundamental Counting.

8-1: The Counting Principle English Casbarro Unit 8.

Basic Counting Principle

Lesson 8-2 Counting Outcomes. Definitions Tree Diagram-An organized list to help you determine the number of possible combinations or outcomes.

Each small square has sides of length 1 unit. How many distinct paths of length six units are there from A to B? A B..

Counting Principle 1.Suppose you have three shirts (red, black, and yellow) and two pair of pants (jeans and khakis). Make a tree diagram to find the number.

Monday, March 31, 2014 AIM: What is the Multiplication Counting Principle?  DO NOW: Kimberly has three pair of pants: one black, one red, and one tan.

11-7 Permutations Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Probability What are the chances of that happening?

Counting Outcomes Objectives: (1) To develop fluency with counting strategies to determine the sample space for an event. Essential Questions: (1) How.

Unit 4: Probability Day 1: Counting Principles. Standards and Benchmarks Select and apply counting procedures, such as the multiplication and.

1.A true-false quiz has five questions. Use the Fundamental Counting Principle to find the total number of ways that you can answer the quiz. 2. You spin.

PROBABILITY bability/basicprobability/preview.we ml.

Chapter 12: Data Analysis & Probability 12.4 Counting Outcomes & Theoretical Probability.

Counting Outcomes.

Probability of compound events

Counting Principles and Tree Diagrams

Counting Outcomes.

Main Idea and New Vocabulary

Probability with Permutations and Combinations

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

6.2 Fundamental Counting Principal

Counting Outcomes.

Counting Principle.

Counting Outcomes.

Counting Outcomes.

Counting Outcomes.

Counting Outcomes.

DATE: ______/_______/_______

Five-Minute Check (over Lesson 12–2) Mathematical Practices Then/Now

Counting Methods and Probability Theory

Counting Methods and Probability Theory

Do Now Check Homework A B C D.

Sample Spaces and Count Outcomes

Presentation transcript:

Splash Screen

Main Idea and Vocabulary Example 1: Use a Tree Diagram Key Concept: Fundamental Counting Principle Example 2: Real-World Example Example 3: Real-World Example: Find Probability Lesson Menu

Fundamental Counting Principle Count outcomes by using a tree diagram or the Fundamental Counting Principle. outcome probability random event sample space tree diagram Fundamental Counting Principle Main Idea/Vocabulary

Use a Tree Diagram BOOKS A flea market vendor sells new and used books for adults and teens. Today she has fantasy novels and poetry collections to choose from. Draw a tree diagram to determine the number of categories of books. Example 1

Answer: There are 8 different categories of books. Use a Tree Diagram Answer: There are 8 different categories of books. Example 1

FASHION A store has spring outfits on sale FASHION A store has spring outfits on sale. You can choose either striped or solid pants. You can also choose green, pink, or orange shirts. Finally, you can choose either long-sleeved shirts or short-sleeved shirts. Draw a tree diagram to determine the number of possible outfits. A. 67 outfits B. 7 outfits C. 12 outfits D. 15 outfits Example 1

KC 1

RESTAURANTS A manager assigns different codes to all the tables in a restaurant to make it easier for the wait staff to identify them. Each code consists of the vowel A, E, I, O, or U, followed by two digits from 0 through 9. How many codes could the manager assign using this method? number of possible letters for the first place number of possible digits for the second place number of possible digits for the third place number of possible codes x = 5 10 500 x = Example 2

Answer: There are 500 possible codes. Example 2

SCHOOLS A middle school assigns each student a code to use for scheduling. Each code consists of a letter, followed by two digits from 0 through 9. How many codes are possible? A. 2,600 codes B. 2,950 codes C. 3,400 codes D. 3,800 codes Example 2

Find Probability COMPUTERS What is the probability that Liana will guess her friend’s computer password on the first try if all she knows is that it consists of three letters? Find the number of possible outcomes. Use the Fundamental Counting Principle. choices for the first letter choices for the second letter choices for the third letter total number of outcomes x = 26 17,576 x = Example 3

Answer: There are 17,576 possible outcomes. There Find Probability Answer: There are 17,576 possible outcomes. There is 1 correct password. So, the probability of guessing on the first try is Example 3

LOCKER COMBINATIONS What is the probability that Shauna will guess her friend’s locker combination on the first try if all she knows is that it consists of three digits from 0 through 9? A. B. C. D. Example 3

End of the Lesson