Aim: What is the counting principle?

Slides:



Advertisements
Similar presentations
Everything you need to know about in grade 6 Probability.
Advertisements

Mrs Patek has three pairs of capri pants, a black pair, a tan pair and a blue pair. She also has two different T- shirts, one white and one pink. Make.
Probability Sample Space Diagrams.
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.
Probability Tree Diagrams
Section 5.2 The Addition Rule and Complements
Bell Work Three-course dinners can be made from the menu shown. Find the sample space for a dinner consisting of an appetizer, entrée, and dessert. Hint:
Confidential2 Warm Up 1.Tossing a quarter and a nickel 2. Choosing a letter from D,E, and F, and a number from 1 and 2 3.Choosing a tuna, ham, or egg.
Math I UNIT QUESTION: How do you use probability to make plans and predict for the future? Standard: MM1D1-3 Today’s Question: How can I find the different.
Review of Probability.
Holt CA Course Sample Spaces SDAP3.1 Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams)
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.
Lesson Simple Probability and Odds
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.
Course: Math Lit. Aim: Counting Principle Aim: How do I count the ways? Do Now: Use , , or both to make the following statement true. {s, r, t} _____.
Advanced Precalculus Advanced Precalculus Notes 12.2 Permutations and Combinations.
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.
SOL A.How many possible outcomes are there from rolling a number cube? B.What is the probability for achieving each outcome? C.Roll a number cube.
COUNTING OUTCOMES & THEORETICAL PROBABILITY 12-4.
Basic Concepts of Probability Coach Bridges NOTES.
11-3 Sample Spaces Warm Up 1. A dog catches 8 out of 14 flying disks thrown. What is the experimental probability that it will catch the next one? 2. If.
SWBAT apply the fundamental counting principle to solve counting problems.
Unit 4 Section : Counting Rules  To determine the number of possible outcomes for a sequence of events we use one of three counting rules: 
Notes Over A school team sells caps in two colors (blue or white), two sizes (child or adult), and two fabrics (cotton or polyester). Draw a.
Aim: What is the counting rule? Exam Tomorrow. Three Rules Sometimes we need to know all possible outcomes for a sequence of events – We use three rules.
Sample Spaces COURSE 2 LESSON 12-4
Unit 4: Probability Day 2: Basic Probability. Standards and Benchmarks Select and apply counting procedures, such as the multiplication and addition.
Probability Experiments Probability experiment An action, or trial, through which specific results (counts, measurements, or responses) are obtained. Outcome.
Mrs Patek has three pairs of capri pants, a black pair, a tan pair and a blue pair. She also has two different T- shirts, one white and one pink. Make.
Section 3.1: Basic Concepts of Probability. Objective: To be able to understand and apply the basic rules of probability. A probability experiment is.
Warm-Up In a class of 18 girls and 12 boys, what is the probability that a student raising his or her hand to answer a question is a girl?
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.
AP STATISTICS LESSON AP STATISTICS LESSON PROBABILITY MODELS.
Probability of Compound Events. Review of Simple Probability The probability of a simple event is a ratio of the number of favorable outcomes for the.
Math 1320 Chapter 6: Sets and Counting 6.2 Cardinality.
Chapter 12: Data Analysis & Probability 12.4 Counting Outcomes & Theoretical Probability.
Introduction to Probability How do we find the theoretical probability of an event?
13.1 & Find Probabilities and Odds 13.2 Find Probabilities Using Permutations.
Unit 10-3 Geometric Probability
Counting – Learning Outcomes
Example 1A: Using the Fundamental Counting Principle
Box models Coin toss = Head = Tail 1 1
Unit 10-1 Intro to Probability
A ratio that measures the chance that an event will happen
Topic: Probability Aim: How do we find the probability of compound events? Do Now: Three-course dinners can be made from the menu shown. (a) Find the sample.
9. Relative frequency and probability
EXAMPLE 1 Find a sample space
Pettit 9-2 Notes D7 : Compute probabilities using tree diagrams
Vocabulary, Set Notation, and Venn Diagrams
Warm- Up #1 Monday, 2/1/2016 Reflect on your first semester in your math class and answer the following questions: Write three new things that you have.
Counting – Learning Outcomes
Probability.
Chapter 11 L11-2 Notes: Outcomes.
Probability.
Experiment outcomes outcome trial outcomes experiment possible outcomes.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Welcome Stand Quietly * Take out math folder
Warm-up March 5, 2018 Copy Agenda message – This is your homework! STUDY THIS TIME…… Warm-up Strong’s GMAS Review, Week 3, Problems ALL LATE WORK.
Probability of two events
Vocabulary, Set Notation, and Venn Diagrams
Drill #83 Open books to page 645. Answer questions #1 – 4 .
Make and use sample spaces and use the counting principle.
Make a List to Find Sample Spaces
Probability of TWO EVENTS
Probability and Counting
Counting Methods and Probability Theory
Counting Methods and Probability Theory
Tree Diagrams Section 5.
Presentation transcript:

Aim: What is the counting principle? Do Now: Multiply. 5 · 6 · 2 3. 10 · 4 · 3 12 · 5 · 3

Vocabulary Tree Diagram – an organized list of all possible outcomes Lists the sample space Counting Principle – finds the total number or possible outcomes by multiplying all the possibilities Example. Tossing a coin and rolling a die Tossing a coin = 2 possibilities Rolling a die = 6 possibilities So: 2 x 6 = 12 total possible outcomes

Example Draw a tree diagram to represent the number of outcomes. Use the counting principle to verify your answer. Example A quarter is tossed and a die is rolled.

Answer

Practice Draw a tree diagram to represent the number of outcomes. Use the counting principle to verify your answer. Angelino’s restaurant serves lunch with 2 choices for appetizer- soup or salad and 4 choices for main course – pizza, spaghetti, chicken parmesan, and lasagna.