Probability of Compound Events. ESSENTIAL QUESTION How do you find the probability of a compound event? 7.6.I
|
|
|
- Lucy Moody
- 5 years ago
- Views:
Transcription
1 ? LESSON 6.2 heoretical Probability of Compound Events ESSENIAL QUESION ow do you find the probability of a compound event? Proportionality 7.6.I Determine theoretical probabilities related to simple and compound events using data and sample spaces. Also 7.6.A, 7.6.D, 7.6.E EXPLORE ACIVIY Finding Probability Using a able Recall that a compound event consists of two or more simple events. o find the probability of a compound event, you write a ratio of the number of ways the compound event can happen to the total number of equally likely possible outcomes. 7.6.I Jacob rolls two fair number cubes. Find the probability that the sum of the numbers he rolls is 8. SEP 1 SEP 2 SEP 3 Use the table to find the sample space for rolling a particular sum on two number cubes. Each cell is the sum of the first number in that row and column. ow many possible outcomes are in the sample space? Circle the outcomes that give the sum of SEP 4 ow many ways are there to roll a sum of 8? 4 5 SEP 5 What is the probability of rolling a sum of 8? 6 Reflect 1. Give an example of an event that is more likely than rolling a sum of Give an example of an event that is less likely than rolling a sum of 8. Lesson
2 Math On the Spot Finding Probability Using a ree Diagram You can also use a tree diagram to calculate theoretical probabilities of compound events. EXAMPLE I A deli prepares sandwiches with one type of bread (white or wheat), one type of meat (ham, turkey, or chicken), and one type of cheese (cheddar or ). Each combination is equally likely. Find the probability of choosing a sandwich at random and getting turkey and on wheat bread. Math alk Mathematical Processes ow many sandwich combinations are possible if one of the meat options is unavailable? SEP 1 Make a tree diagram to find the sample space for the compound event. Bread Meat Cheese White Wheat am urkey Chicken am urkey Chicken Personal Math rainer Online Assessment and Intervention SEP 2 SEP 3 YOUR URN Find the number of possible outcomes in the sample space: 12 Find the probability of getting turkey and on wheat bread at random: 1 12 Use the diagram from Example 1 to find the given probabilities. 3. P(ham sandwich) 4. P(sandwich containing cheese) 194 Unit 3
3 Finding Probability Using a List One way to provide security for a locker or personal account is to assign it an access code number known only to the owner. EXAMPLE D Math On the Spot he combination for Khiem s locker is a 3-digit code that uses the numbers 1, 2, and 3. Any of these numbers may be repeated. Find the probability that Khiem s randomly-assigned number is 222. My Notes Make an organized list to find the sample space. SEP 1 SEP 2 SEP 3 List all the codes that start with 1 and have 1 as a second digit. List all the codes that start with 1 and have 2 as a second digit. List all the codes that start with 1 and have 3 as a second digit SEP 4 You have now listed all the codes that start with 1. Repeat Steps 1 3 for codes that start with 2, and then for codes that start with SEP 5 SEP 6 YOUR URN Find the number of outcomes in the sample space by counting all the possible codes. here are 27 such codes. Find the probability that Khiem s locker code is 222. number of favorable outcomes P(Code 222) = total number of possible outcomes = Martha types a 4-digit code into a keypad to unlock her car doors. he code uses the numbers 1 and 0. If the digits are selected at random, what is the probability of getting a code with exactly two 0s? Notice that there are 3 possible first numbers, 3 possible second numbers, and 3 possible third numbers, or = 27 numbers in all. Math alk Mathematical Processes ow could you find the probability that Khiem s locker code includes exactly two 1s? Personal Math rainer Online Assessment and Intervention Lesson
4 Guided Practice Drake rolls two fair number cubes. (Explore Activity) 1. Complete the table to find the sample space for rolling a particular product on two number cubes. 2. What is the probability that the product of the two numbers Drake rolls is a multiple of 4? 3. What is the probability that the product of the two numbers Drake rolls is less than 13? You flip three coins and want to explore probabilities of certain events. (Examples 1 and 2) Complete the tree diagram and make a list to find the sample space. Coin 1 Coin 2 Coin 3 List: 5. ow many outcomes are in the sample space? 6. List all the ways to get three tails. 7. Complete the expression to find the probability of getting three tails. P = number of outcomes with = total number of possible outcomes? he probability of getting three tails when three coins are flipped is. 8. What is the probability of getting exactly two heads? here are P = way(s) to obtain exactly two heads:, number of outcomes with = total number of possible outcomes ESSENIAL QUESION CECK-IN 9. here are 6 ways a given compound event can occur. What else do you need to know to find the theoretical probability of the event? 196 Unit 3
5 Name Class Date 6.2 Independent Practice 7.6.I, 7.6.A, 7.6.D, 7.6.E In Exercises 10 12, use the following information. Mattias gets dressed in the dark one morning and chooses his clothes at random. e chooses a shirt (green, red, or yellow), a pair of pants (black or blue), and a pair of shoes (checkered or red). 10. Use the space below to make a tree diagram to find the sample space. Personal Math rainer Online Assessment and Intervention 14. Ben rolls two number cubes. What is the probability that the sum of the numbers he rolls is less than 6? 15. Nhan is getting dressed. e considers two different shirts, three pairs of pants, and three pairs of shoes. e chooses one of each of the articles at random. What is the probability that he will wear his jeans but not his sneakers? Shirt Pants Shoes collared khakis sneakers -shirt jeans flip-flops shorts sandals 16. Communicate Mathematical Ideas A ski resort has 3 chair lifts, each with access to 6 ski trails. Explain how you can find the number of possible outcomes when choosing a chair lift and a ski trail without making a list, a tree diagram, or table. 11. What is the probability that Mattias picks an outfit at random that includes red shoes? 12. What is the probability that no part of Mattias s outfit is red? 13. Rhee and Pamela are two of the five members of a band. Every week, the band picks two members at random to play on their own for five minutes. What is the probability that Rhee and Pamela are chosen this week? 17. Explain the Error For breakfast, Sarah can choose eggs, granola or oatmeal as a main course, and orange juice or milk for a drink. Sarah says that the sample space for choosing one of each contains 3 2 = 9 outcomes. What is her error? Explain. Lesson
6 18. Represent Real-World Problems A new shoe comes in two colors, black or red, and in sizes from 5 to 12, including half sizes. If a pair of the shoes is chosen at random for a store display, what is the probability it will be red and size 9 or larger? FOCUS ON IGER ORDER INKING Work Area 19. Analyze Relationships At a diner, Sondra tells the server, Give me one item from each column. Gretchen says, Give me one main dish and a vegetable. Who has a greater probability of getting a meal that includes salmon? Explain. Main Dish Vegetable Side Pasta Carrots omato soup Salmon Peas ossed salad Beef Asparagus Pork Sweet potato 20. he digits 1 through 5 are used for a set of locker codes. a. Look for a Pattern Suppose the digits cannot repeat. Find the number of possible two-digit codes and three-digit codes. Describe any pattern and use it to predict the number of possible five-digit codes. b. Look for a Pattern Repeat part a, but allow digits to repeat. c. Justify Reasoning Suppose that a gym plans to issue numbered locker codes by choosing the digits at random. Should the gym use codes in which the digits can repeat or not? Justify your reasoning. 198 Unit 3
Theoretical Probability of Compound Events. ESSENTIAL QUESTION How do you find the probability of a compound event? 7.SP.3.8, 7.SP.3.8a, 7.SP.3.
LESSON 13.2 Theoretical Probability of Compound Events 7.SP.3.8 Find probabilities of compound events using organized lists, tables, tree diagrams,. 7.SP.3.8a, 7.SP.3.8b ESSENTIAL QUESTION How do you find
Theoretical Probability and Simulations
? Theoretical Probability and Simulations ESSENTIAL QUESTION How can you use theoretical probability to solve real-world problems? MODULE 13 LESSON 13.1 Theoretical Probability of Simple Events 7.SP.7,
Theoretical Probability and Simulations
Theoretical Probability and Simulations? MODULE 13 LESSON 13.1 Theoretical Probability of Simple Events ESSENTIAL QUESTION How can you use theoretical probability to solve real-world problems? LESSON 13.2
Theoretical Probability and Simulations
Theoretical Probability and Simulations? MODULE 13 LESSON 13.1 Theoretical Probability of Simple Events ESSENTIAL QUESTION 7.SP.6, 7.SP.7, 7.SP.7a How can you use theoretical probability to solve real-world
2. Heather tosses a coin and then rolls a number cube labeled 1 through 6. Which set represents S, the sample space for this experiment?
1. Jane flipped a coin and rolled a number cube with sides labeled 1 through 6. What is the probability the coin will show heads and the number cube will show the number 4? A B C D 1 6 1 8 1 10 1 12 2.
Math 1116 Probability Lecture Monday Wednesday 10:10 11:30
Math 1116 Probability Lecture Monday Wednesday 10:10 11:30 Course Web Page http://www.math.ohio state.edu/~maharry/ Chapter 15 Chances, Probabilities and Odds Objectives To describe an appropriate sample
COMPOUND PROBABILITIES USING LISTS, TREE DIAGRAMS AND TABLES
OMOUN OBBILITIES USING LISTS, TEE IGMS N TBLES LESSON 2-G EXLOE! Each trimester in E a student will play one sport. For first trimester the possible sports are soccer, tennis or golf. For second trimester
MATH STUDENT BOOK. 8th Grade Unit 10
MATH STUDENT BOOK 8th Grade Unit 10 Math 810 Probability Introduction 3 1. Outcomes 5 Tree Diagrams and the Counting Principle 5 Permutations 12 Combinations 17 Mixed Review of Outcomes 22 SELF TEST 1:
Name Date Class Practice A
Practice A 1. Lindsay flips a coin and rolls a 1 6 number cube at the same time. What are the possible outcomes? 2. Jordan has a choice of wheat bread or rye bread and a choice of turkey, ham, or tuna
Study Guide Probability SOL s 6.16, 7.9, & 7.10
Study Guide Probability SOL s 6.16, 7.9, & 7.10 What do I need to know for the upcoming assessment? Find the probability of simple events; Determine if compound events are independent or dependent; Find
MATH-7 SOL Review 7.9 and Probability and FCP Exam not valid for Paper Pencil Test Sessions
MATH-7 SOL Review 7.9 and 7.0 - Probability and FCP Exam not valid for Paper Pencil Test Sessions [Exam ID:LV0BM Directions: Click on a box to choose the number you want to select. You must select all
Second Semester SOL Review. 1) What are the three ways to show a relation? First way: second way: third way:
Section 1: Relations and Functions (7.12) Second Semester SOL Review 1) What are the three ways to show a relation? First way: Second way: Third way: 2) Identify the Domain and the Range of the relation:
10-8 Probability of Compound Events
1. Find the number of tennis shoes available if they come in gray or white and are available in sizes 6, 7, or 8. 6 2. The table shows the options a dealership offers for a model of a car. 24 3. Elisa
Chapter 10 Practice Test Probability
Name: Class: Date: ID: A Chapter 0 Practice Test Probability Multiple Choice Identify the choice that best completes the statement or answers the question. Describe the likelihood of the event given its
Making Predictions with Theoretical Probability
? LESSON 6.3 Making Predictions with Theoretical Probability ESSENTIAL QUESTION Proportionality 7.6.H Solve problems using qualitative and quantitative predictions and comparisons from simple experiments.
Theoretical or Experimental Probability? Are the following situations examples of theoretical or experimental probability?
Name:Date:_/_/ Theoretical or Experimental Probability? Are the following situations examples of theoretical or experimental probability? 1. Finding the probability that Jeffrey will get an odd number
Fundamental Counting Principle
11 1 Permutations and Combinations You just bought three pairs of pants and two shirts. How many different outfits can you make with these items? Using a tree diagram, you can see that you can make six
10-8 Probability of Compound Events
Use any method to find the total number of outcomes in each situation. 6. Nathan has 4 t-shirts, 4 pairs of shorts, and 2 pairs of flip-flops. Use the Fundamental Counting Principle to find the number
Practice Ace Problems
Unit 6: Moving Straight Ahead Investigation 2: Experimental and Theoretical Probability Practice Ace Problems Directions: Please complete the necessary problems to earn a maximum of 12 points according
Adriana tosses a number cube with faces numbered 1 through 6 and spins the spinner shown below at the same time.
Domain 5 Lesson 9 Compound Events Common Core Standards: 7.SP.8.a, 7.SP.8.b, 7.SP.8.c Getting the Idea A compound event is a combination of two or more events. Compound events can be dependent or independent.
Counting Learning Outcomes
1 Counting Learning Outcomes List all possible outcomes of an experiment or event. Use systematic listing. Use two-way tables. Use tree diagrams. Solve problems using the fundamental principle of counting.
Probability of Compound Events. Lesson 3
Probability of Compound Events Lesson 3 Objective Students will be able to find probabilities of compound events using organized lists, tables, and tree diagrams. They will also understand that, just as
NAME DATE PERIOD. Study Guide and Intervention
9-1 Section Title The probability of a simple event is a ratio that compares the number of favorable outcomes to the number of possible outcomes. Outcomes occur at random if each outcome occurs by chance.
Order the fractions from least to greatest. Use Benchmark Fractions to help you. First try to decide which is greater than ½ and which is less than ½
Outcome G Order the fractions from least to greatest 4 1 7 4 5 3 9 5 8 5 7 10 Use Benchmark Fractions to help you. First try to decide which is greater than ½ and which is less than ½ Likelihood Certain
What is the probability Jordan will pick a red marble out of the bag and land on the red section when spinning the spinner?
Name: Class: Date: Question #1 Jordan has a bag of marbles and a spinner. The bag of marbles has 10 marbles in it, 6 of which are red. The spinner is divided into 4 equal sections: blue, green, red, and
This unit will help you work out probability and use experimental probability and frequency trees. Key points
Get started Probability This unit will help you work out probability and use experimental probability and frequency trees. AO Fluency check There are 0 marbles in a bag. 9 of the marbles are red, 7 are
Math 7, Unit 5: Probability - NOTES
Math 7, Unit 5: Probability - NOTES NVACS 7. SP.C.5 - Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers
Compound Events. Identify events as simple or compound.
11.1 Compound Events Lesson Objectives Understand compound events. Represent compound events. Vocabulary compound event possibility diagram simple event tree diagram Understand Compound Events. A compound
Pre-Calculus Multiple Choice Questions - Chapter S12
1 What is the probability of rolling a two on one roll of a fair, six-sided die? a 1/6 b 1/2 c 1/3 d 1/12 Pre-Calculus Multiple Choice Questions - Chapter S12 2 What is the probability of rolling an even
Lesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes
NYS COMMON CORE MAEMAICS CURRICULUM 7 : Calculating Probabilities for Chance Experiments with Equally Likely Classwork Examples: heoretical Probability In a previous lesson, you saw that to find an estimate
ALL FRACTIONS SHOULD BE IN SIMPLEST TERMS
Math 7 Probability Test Review Name: Date Hour Directions: Read each question carefully. Answer each question completely. ALL FRACTIONS SHOULD BE IN SIMPLEST TERMS! Show all your work for full credit!
Probability of Compound Events
Lesson 33A Probability of Compound Events Name: Prerequisite: Describe Sample Space Study the example showing how to describe the sample space for an experiment. Then solve problems 1 8. Example Marcus
Name. Is the game fair or not? Prove your answer with math. If the game is fair, play it 36 times and record the results.
Homework 5.1C You must complete table. Use math to decide if the game is fair or not. If Period the game is not fair, change the point system to make it fair. Game 1 Circle one: Fair or Not 2 six sided
Lesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes
Lesson : Calculating Probabilities for Chance Experiments with Equally Likely Outcomes Classwork Example : heoretical Probability In a previous lesson, you saw that to find an estimate of the probability
4.1 What is Probability?
4.1 What is Probability? between 0 and 1 to indicate the likelihood of an event. We use event is to occur. 1 use three major methods: 1) Intuition 3) Equally Likely Outcomes Intuition - prediction based
Practice 9-1. Probability
Practice 9-1 Probability You spin a spinner numbered 1 through 10. Each outcome is equally likely. Find the probabilities below as a fraction, decimal, and percent. 1. P(9) 2. P(even) 3. P(number 4. P(multiple
Unit 11 Probability. Round 1 Round 2 Round 3 Round 4
Study Notes 11.1 Intro to Probability Unit 11 Probability Many events can t be predicted with total certainty. The best thing we can do is say how likely they are to happen, using the idea of probability.
Lesson 3: Chance Experiments with Equally Likely Outcomes
Lesson : Chance Experiments with Equally Likely Outcomes Classwork Example 1 Jamal, a 7 th grader, wants to design a game that involves tossing paper cups. Jamal tosses a paper cup five times and records
Name: 1. Match the word with the definition (1 point each - no partial credit!)
Chapter 12 Exam Name: Answer the questions in the spaces provided. If you run out of room, show your work on a separate paper clearly numbered and attached to this exam. SHOW ALL YOUR WORK!!! Remember
Math 1 Unit 4 Mid-Unit Review Chances of Winning
Math 1 Unit 4 Mid-Unit Review Chances of Winning Name My child studied for the Unit 4 Mid-Unit Test. I am aware that tests are worth 40% of my child s grade. Parent Signature MM1D1 a. Apply the addition
Name Class Date. Introducing Probability Distributions
Name Class Date Binomial Distributions Extension: Distributions Essential question: What is a probability distribution and how is it displayed? 8-6 CC.9 2.S.MD.5(+) ENGAGE Introducing Distributions Video
7.6A 1) Mona is buying a new car.
7.6A 1) Mona is buying a new car. She can choose a car with 2 doors or 4 doors. She can choose seat covers made of leather, fabric or vinyl. She can choose a car color of silver, black, or white. The list
1. Theoretical probability is what should happen (based on math), while probability is what actually happens.
Name: Date: / / QUIZ DAY! Fill-in-the-Blanks: 1. Theoretical probability is what should happen (based on math), while probability is what actually happens. 2. As the number of trials increase, the experimental
1. Decide whether the possible resulting events are equally likely. Explain. Possible resulting events
Applications. Decide whether the possible resulting events are equally likely. Explain. Action Possible resulting events a. You roll a number You roll an even number, or you roll an cube. odd number. b.
Warm Up Need a calculator
Find the length. Round to the nearest hundredth. QR Warm Up Need a calculator 12.9(sin 63 ) = QR 11.49 cm QR Check Homework Objectives Solve problems involving permutations. For a main dish, you can choose
Unit 6: Probability Summative Assessment. 2. The probability of a given event can be represented as a ratio between what two numbers?
Math 7 Unit 6: Probability Summative Assessment Name Date Knowledge and Understanding 1. Explain the difference between theoretical and experimental probability. 2. The probability of a given event can
Making Predictions with Theoretical Probability. ESSENTIAL QUESTION How do you make predictions using theoretical probability?
L E S S O N 13.3 Making Predictions with Theoretical Probability 7.SP.3.6 predict the approximate relative frequency given the probability. Also 7.SP.3.7a ESSENTIAL QUESTION How do you make predictions
Graphs and Probability
11 CHAPTER Graphs and Probability Lesson 11.1 Making and Interpreting Line Plots Make a line plot to show the data in the table. The school uses 9 buses. The table shows the number of students on each
Junior Circle Meeting 5 Probability. May 2, ii. In an actual experiment, can one get a different number of heads when flipping a coin 100 times?
Junior Circle Meeting 5 Probability May 2, 2010 1. We have a standard coin with one side that we call heads (H) and one side that we call tails (T). a. Let s say that we flip this coin 100 times. i. How
These Are A Few of My Favorite Things
LESSON.1 Skills Practice Name Date These Are A Few of My Favorite Things Modeling Probability Vocabulary Match each term to its corresponding definition. 1. event a. all of the possible outcomes in a probability
e. Are the probabilities you found in parts (a)-(f) experimental probabilities or theoretical probabilities? Explain.
1. Josh is playing golf. He has 3 white golf balls, 4 yellow golf balls, and 1 red golf ball in his golf bag. At the first hole, he randomly draws a ball from his bag. a. What is the probability he draws
Lesson 17.1 Assignment
Lesson 17.1 Assignment Name Date Is It Better to Guess? Using Models for Probability Charlie got a new board game. 1. The game came with the spinner shown. 6 7 9 2 3 4 a. List the sample space for using
green, green, green, green, green The favorable outcomes of the event are blue and red.
5 Chapter Review Review Key Vocabulary experiment, p. 6 outcomes, p. 6 event, p. 6 favorable outcomes, p. 6 probability, p. 60 relative frequency, p. 6 Review Examples and Exercises experimental probability,
Canadian Money Unit. By Jessicca Nielsen
Canadian Money Unit By Jessicca Nielsen Table of Contents 1. Canadian money poster and worksheet 2. Counting nickels worksheet 3. Counting dimes worksheet 4. Counting money worksheet #1 5. Counting money
Math 7 Notes - Unit 7B (Chapter 11) Probability
Math 7 Notes - Unit 7B (Chapter 11) Probability Probability Syllabus Objective: (7.2)The student will determine the theoretical probability of an event. Syllabus Objective: (7.4)The student will compare
The tree diagram and list show the possible outcomes for the types of cookies Maya made. Peppermint Caramel Peppermint Caramel Peppermint Caramel
Compound Probabilities using Multiplication and Simulation Lesson 4.5 Maya was making sugar cookies. She decorated them with one of two types of frosting (white or pink), one of three types of sprinkles
Applications. 28 How Likely Is It? P(green) = 7 P(yellow) = 7 P(red) = 7. P(green) = 7 P(purple) = 7 P(orange) = 7 P(yellow) = 7
Applications. A bucket contains one green block, one red block, and two yellow blocks. You choose one block from the bucket. a. Find the theoretical probability that you will choose each color. P(green)
COMPOUND EVENTS. Judo Math Inc.
COMPOUND EVENTS Judo Math Inc. 7 th grade Statistics Discipline: Black Belt Training Order of Mastery: Compound Events 1. What are compound events? 2. Using organized Lists (7SP8) 3. Using tables (7SP8)
Tool: Situational Eating - Card Sort and Food Choice Schema Interview Guide
Tool: Situational Eating - Card Sort and Food Choice Schema Interview Guide Purpose: This tool was developed to understand classifications and meanings that people use in making food choices and the thought
Finite Mathematics MAT 141: Chapter 8 Notes
Finite Mathematics MAT 4: Chapter 8 Notes Counting Principles; More David J. Gisch The Multiplication Principle; Permutations Multiplication Principle Multiplication Principle You can think of the multiplication
Data Analysis & Probability Counting Techniques & Probability (Notes)
Data Analysis & Probability Counting Techniques & Probability (Notes) Name I can Date Essential Question(s): Key Concepts Notes Fundamental Counting Principle Factorial Permutations Combinations What is
Math 7 Notes - Unit 11 Probability
Math 7 Notes - Unit 11 Probability Probability Syllabus Objective: (7.2)The student will determine the theoretical probability of an event. Syllabus Objective: (7.4)The student will compare theoretical
Grade 6 Math Circles Winter February 10/11 Counting
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Centre for Education in Mathematics and Computing Grade 6 Math Circles Winter 2015 - February 10/11 Counting What is Counting? When you think of the word
2. A bubble-gum machine contains 25 gumballs. There are 12 green, 6 purple, 2 orange, and 5 yellow gumballs.
A C E Applications Connections Extensions Applications. A bucket contains one green block, one red block, and two yellow blocks. You choose one block from the bucket. a. Find the theoretical probability
What Do You Expect? Concepts
Important Concepts What Do You Expect? Concepts Examples Probability A number from 0 to 1 that describes the likelihood that an event will occur. Theoretical Probability A probability obtained by analyzing
Use this information to answer the following questions.
1 Lisa drew a token out of the bag, recorded the result, and then put the token back into the bag. She did this 30 times and recorded the results in a bar graph. Use this information to answer the following
CCM6+7+ Unit 11 ~ Page 1. Name Teacher: Townsend ESTIMATED ASSESSMENT DATES:
CCM6+7+ Unit 11 ~ Page 1 CCM6+7+ UNIT 11 PROBABILITY Name Teacher: Townsend ESTIMATED ASSESSMENT DATES: Unit 11 Vocabulary List 2 Simple Event Probability 3-7 Expected Outcomes Making Predictions 8-9 Theoretical
Grade 8 Math Assignment: Probability
Grade 8 Math Assignment: Probability Part 1: Rock, Paper, Scissors - The Study of Chance Purpose An introduction of the basic information on probability and statistics Materials: Two sets of hands Paper
MATH STUDENT BOOK. 7th Grade Unit 6
MATH STUDENT BOOK 7th Grade Unit 6 Unit 6 Probability and Graphing Math 706 Probability and Graphing Introduction 3 1. Probability 5 Theoretical Probability 5 Experimental Probability 13 Sample Space 20
4.1. Counting Principles. Investigate the Math
4.1 Counting Principles YOU WILL NEED calculator standard deck of playing cards EXPLORE Suppose you roll a standard red die and a standard blue die at the same time. Describe the sample space for this
WEEK 7 REVIEW. Multiplication Principle (6.3) Combinations and Permutations (6.4) Experiments, Sample Spaces and Events (7.1)
WEEK 7 REVIEW Multiplication Principle (6.3) Combinations and Permutations (6.4) Experiments, Sample Spaces and Events (7.) Definition of Probability (7.2) WEEK 8-7.3, 7.4 and Test Review THE MULTIPLICATION
KS3 Levels 3-8. Unit 3 Probability. Homework Booklet. Complete this table indicating the homework you have been set and when it is due by.
Name: Maths Group: Tutor Set: Unit 3 Probability Homework Booklet KS3 Levels 3-8 Complete this table indicating the homework you have been set and when it is due by. Date Homework Due By Handed In Please
pre-hs Probability Based on the table, which bill has an experimental probability of next? A) $10 B) $15 C) $1 D) $20
1. Peter picks one bill at a time from a bag and replaces it. He repeats this process 100 times and records the results in the table. Based on the table, which bill has an experimental probability of next?
Probability. The MEnTe Program Math Enrichment through Technology. Title V East Los Angeles College
Probability The MEnTe Program Math Enrichment through Technology Title V East Los Angeles College 2003 East Los Angeles College. All rights reserved. Topics Introduction Empirical Probability Theoretical
17. BUSINESS To get reaction about a benefits package, a company uses a computer program to randomly pick one person from each of its departments.
12-A4 (Lesson 12-1) Pages 645-646 Identify each sample, suggest a population from which it was selected, and state whether it is unbiased, (random) or biased. If unbiased, classify the sample as simple,
Lesson Lesson 3.7 ~ Theoretical Probability
Theoretical Probability Lesson.7 EXPLORE! sum of two number cubes Step : Copy and complete the chart below. It shows the possible outcomes of one number cube across the top, and a second down the left
Name: Class: Date: ID: A
Class: Date: Chapter 0 review. A lunch menu consists of different kinds of sandwiches, different kinds of soup, and 6 different drinks. How many choices are there for ordering a sandwich, a bowl of soup,
Toss two coins 10 times. Record the number of heads in each trial, in a table.
Coin Experiment When we toss a coin in the air, we expect it to finish on a head or tail with equal likelihood. What to do: Toss one coin 20 times. ecord the number of heads in each trial, in a table:
Probability Rules. 2) The probability, P, of any event ranges from which of the following?
Name: WORKSHEET : Date: Answer the following questions. 1) Probability of event E occurring is... P(E) = Number of ways to get E/Total number of outcomes possible in S, the sample space....if. 2) The probability,
Unit 1 Day 1: Sample Spaces and Subsets. Define: Sample Space. Define: Intersection of two sets (A B) Define: Union of two sets (A B)
Unit 1 Day 1: Sample Spaces and Subsets Students will be able to (SWBAT) describe events as subsets of sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions,
Tail. Tail. Head. Tail. Head. Head. Tree diagrams (foundation) 2 nd throw. 1 st throw. P (tail and tail) = P (head and tail) or a tail.
When you flip a coin, you might either get a head or a tail. The probability of getting a tail is one chance out of the two possible outcomes. So P (tail) = Complete the tree diagram showing the coin being
Section 6.1 #16. Question: What is the probability that a five-card poker hand contains a flush, that is, five cards of the same suit?
Section 6.1 #16 What is the probability that a five-card poker hand contains a flush, that is, five cards of the same suit? page 1 Section 6.1 #38 Two events E 1 and E 2 are called independent if p(e 1
When a fair 6-sided die is rolled, each number from 1 to 6 has an equal chance of coming up. The numbers 1, 2, 3, 4, 5, and 6 are equally likely.
Probability When a fair 6-sided die is rolled, each number from to 6 has an equal chance of coming up. The numbers, 2, 3, 4, 5, and 6 are equally likely. The spinner below is divided into 0 equal sections,
13-1 Representing Sample Spaces
Represent the sample space for each experiment by making an organized list, a table, and a tree diagram. 1. For each at bat, a player can either get on base or make an out. Suppose a player bats twice.
Counting Methods and Probability
CHAPTER Counting Methods and Probability Many good basketball players can make 90% of their free throws. However, the likelihood of a player making several free throws in a row will be less than 90%. You
Lesson 15.5: Independent and Dependent Events
Lesson 15.5: Independent and Dependent Events Sep 26 10:07 PM 1 Work with a partner. You have three marbles in a bag. There are two green marbles and one purple marble. Randomly draw a marble from the
Name: Class: Date: Probability/Counting Multiple Choice Pre-Test
Name: _ lass: _ ate: Probability/ounting Multiple hoice Pre-Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1 The dartboard has 8 sections of equal area.
Independent Events B R Y
. Independent Events Lesson Objectives Understand independent events. Use the multiplication rule and the addition rule of probability to solve problems with independent events. Vocabulary independent
19.3 Combinations and Probability
Name Class Date 19.3 Combinations and Probability Essential Question: What is the difference between a permutaion and a combination? Explore Finding the Number of Combinations A combination is a selection
Toss two coins 60 times. Record the number of heads in each trial, in a table.
Coin Experiment When we toss a coin in the air, we expect it to finish on a head or tail with equal likelihood. What to do: Toss one coin 40 times. ecord the number of heads in each trial, in a table:
Chance and Probability
G Student Book Name Series G Contents Topic Chance and probability (pp. ) probability scale using samples to predict probability tree diagrams chance experiments using tables location, location apply lucky
Find the probability of an event by using the definition of probability
LESSON 10-1 Probability Lesson Objectives Find the probability of an event by using the definition of probability Vocabulary experiment (p. 522) trial (p. 522) outcome (p. 522) sample space (p. 522) event
FAVORITE MEALS NUMBER OF PEOPLE Hamburger and French fries 17 Spaghetti 8 Chili 12 Vegetarian delight 3
Probability 1. Destiny surveyed customers in a restaurant to find out their favorite meal. The results of the survey are shown in the table. One person in the restaurant will be picked at random. Based
Homework #1-19: Use the Counting Principle to answer the following questions.
Section 4.3: Tree Diagrams and the Counting Principle Homework #1-19: Use the Counting Principle to answer the following questions. 1) If two dates are selected at random from the 365 days of the year
Key Concept Probability of Independent Events. Key Concept Probability of Mutually Exclusive Events. Key Concept Probability of Overlapping Events
15-4 Compound Probability TEKS FOCUS TEKS (1)(E) Apply independence in contextual problems. TEKS (1)(B) Use a problemsolving model that incorporates analyzing given information, formulating a plan or strategy,
Unit 6: What Do You Expect? Investigation 2: Experimental and Theoretical Probability
Unit 6: What Do You Expect? Investigation 2: Experimental and Theoretical Probability Lesson Practice Problems Lesson 1: Predicting to Win (Finding Theoretical Probabilities) 1-3 Lesson 2: Choosing Marbles
Bellwork Write each fraction as a percent Evaluate P P C C 6
Bellwork 2-19-15 Write each fraction as a percent. 1. 2. 3. 4. Evaluate. 5. 6 P 3 6. 5 P 2 7. 7 C 4 8. 8 C 6 1 Objectives Find the theoretical probability of an event. Find the experimental probability
A counting problem is a problem in which we want to count the number of objects in a collection or the number of ways something occurs or can be
A counting problem is a problem in which we want to count the number of objects in a collection or the number of ways something occurs or can be done. At a local restaurant, for a fixed price one can buy
What You ll Learn. Why It s Important. Many games involve probability and chance. One game uses this spinner or a number cube labelled 1 to 6.
Many games involve probability and chance. One game uses this spinner or a number cube labelled 1 to 6. You can choose to spin the pointer or roll the number cube. You win if the pointer lands on red.
Probability and Statistics 15% of EOC
MGSE9-12.S.CP.1 1. Which of the following is true for A U B A: 2, 4, 6, 8 B: 5, 6, 7, 8, 9, 10 A. 6, 8 B. 2, 4, 6, 8 C. 2, 4, 5, 6, 6, 7, 8, 8, 9, 10 D. 2, 4, 5, 6, 7, 8, 9, 10 2. This Venn diagram shows