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.

Slides:



Advertisements
Similar presentations
Probability of Compound Events
Advertisements

TODAY IN GEOMETRY…  Warm Up  Learning Goal: You will find the probability for compound events  Independent practice  AT – Ch.5 Test Retakes.
Sample Space and Outcomes. Vocabulary Experiment - Activity in which results are observed Each observation Each result The set of all possible outcomes.
Compound Events SWBAT use tree diagrams and tables to find possible outcomes; find the number of possible outcomes using the counting principle; find the.
MATHPOWER TM 12, WESTERN EDITION Chapter 7 Combinatorics.
Sample Space: The Counting Principle By: The Math Ladies.
AP STATISTICS.   Theoretical: true mathematical probability  Empirical: the relative frequency with which an event occurs in a given experiment  Subjective:
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:
6-7 Permutations & Combinations M11.E.3.2.1: Determine the number of permutations and/or combinations or apply the fundamental counting principle.
Statistical Reasoning for everyday life Intro to Probability and Statistics Mr. Spering – Room 113.
Lesson 7-1. Warm-up You are at a restaurant with a special for $10. You have the option to get: a) an appetizer and an entree or b) an entree and a dessert.
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
Compound Events Defining Success In this lesson you will… find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
Holt CA Course Disjoint Events SDAP3.4 Understand that the probability of either of two disjoint events occurring is the sum of the two individual.
Lesson 12-6 Pages Counting Outcomes. What you will learn! 1. How to use tree diagrams or the Fundamental Counting Principle to count outcomes.
Addition Rule Mr. Evans Statistics B. Venn Diagram It is often possible to illustrate the various sets or events of an experiment. For this we use Venn.
Advanced Precalculus Advanced Precalculus Notes 12.2 Permutations and Combinations.
Do Now 4/6/11 Take out HW from yesterday. Take out HW from yesterday.  Textbook page 309, #3-7 all, 11a & b, 17 & 18 Copy HW in your planner. Copy HW.
Lesson # 64 – 65 Notes Permutations and Combinations 1.The Counting Principle – The number of outcomes for an event is the product of the number of outcomes.
D2.b How Do I Apply the Fundamental & Addition Counting Principles To Find The Number of Outcomes? Course 3 Warm Up Warm Up Problem of the Day Problem.
Introductory Statistics Lesson 3.1 D Objective: SSBAT find the probability of the complement of events and applications of probability. Standards: M11.E
Probability. Basic Concepts of Probability and Counting.
Chapter 9 Review. 1. Give the probability of each outcome.
Do Now 3/10/10 Take out HW from Friday & last night. Take out HW from Friday & last night.  Text p. 309, #7-11 all, 17 & 18  Practice worksheets 6.6.
Determining Probabilities Using Tree Diagrams and Tables.
7th Probability You can do this! .
Do Now 5/21/13 Take out HW from last night. Text p. 408, #1-16
Lesson 9-7 Pages Independent and Dependent Events.
Unit 2 - Permutations and Organized Counting
The Fundamental Counting Principle 10-6 Learn to find the number of possible outcomes in an experiment.
(Collect Late HW: pg 458 #1-3)
3.3 Finding Probability Using Sets. Set Theory Definitions Simple event –Has one outcome –E.g. rolling a die and getting a 4 or pulling one name out of.
Lesson 8.7 Page #1-29 (ODD), 33, 35, 41, 43, 47, 49, (ODD) Pick up the handout on the table.
Probability. Basic Concepts of Probability and Counting.
4-3 Addition Rule This section presents the addition rule as a device for finding probabilities that can be expressed as P(A or B), the probability that.
AP Statistics Intro to Probability: Sample Spaces and Counting.
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 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.
Introduction to Probability How do we find the theoretical probability of an event?
Unit 10-3 Geometric Probability
Counting – Learning Outcomes
Probability Theoretical Probability
Probability of Compound Events
Independent and Dependent Events
Unit 10-1 Intro to Probability
Algebra 2 Mrs.Volynskaya
A ratio that measures the chance that an event will happen
Aim: What is the counting principle?
Probability of compound events
Elementary Statistics
Outcome G.
Finding the Complement of Event E AGENDA:
Probability.
Counting – Learning Outcomes
Chapter 11 L11-2 Notes: Outcomes.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Do Now 3/17/11 Take out HW from last night. Copy HW in your planner.
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.
Make and use sample spaces and use the counting principle.
Probability.
Bell Work Which of the following numbers could represent the probability of an event? For each, explain why or why not. A B. 4.2 C. 0.6 D
DATE: ______/_______/_______
Wednesday by Dave And Brian
Fundamental Counting Principle
Tree Diagrams Section 5.
Sample Spaces and Count Outcomes
Presentation transcript:

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 space for a dinner consisting of an appetizer, entree, and dessert using a tree diagram. (b) Use the Fundamental Counting Principle to find the number of outcomes in the sample space. (c) What is probability that someone chooses a salad, chicken and apple pie for their three-course dinner? Homework: Complete Handout

Do Now: Three-course dinners can be made from the menu shown. (a) Find the sample space for a dinner consisting of an appetizer, entree, and dessert using a tree diagram. (b) Use the Fundamental Counting Principle to find the number of outcomes in the sample space. (c) What is probability that someone chooses a salad, chicken and apple pie for their three-course dinner? Sample Space Desserts Entrees Appetizers Carrot Cake Soup, Steak, Carrot Cake Steak Apple Pie Soup, Steak, Apple Pie Soup Carrot Cake Soup, Chicken, Carrot Cake Three-course dinner Chicken Apple Pie Soup, Chicken, Apple Pie Carrot Cake Salad, Steak, Carrot Cake Steak Apple Pie Salad, Steak, Apple Pie Salad Carrot Cake Salad, Chicken, Carrot Cake Chicken Apple Pie Salad, Chicken, Apple Pie

Let's Review: What is a Sample Space? A sample space is the set of all the possible outcomes in a   probability experiment. Note: Organized lists, tables, and tree diagrams can be used 
to represent the sample space.

What is a Compound Event? A compound event consists of two or more simple events. The combined action of rolling a number cube and spinning a spinner is a compound event.

Probabilities involving "AND" In probability, an outcome is in event "A and B" only when the outcome is in both event A and event B. P (A and B) = P(A) P(B) Example: A die is rolled. What is the probability that the number is even and less than 4?

Probabilities involving "OR" In probability, an outcome is in event "A or B" when the outcome is in either (or both) event A or event B. P (A or B) = P(A) + P(B) - P(A and B) Example: A die is rolled. What is the probability that the number is even or less than 4?

Practice Problems

Practice Problems H T 1 2 3 4 5 6

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Homework Summary What is a sample space? Complete Handout What can be used to represent a sample space? How can we find the probability of a compound event? Homework Complete Handout