* How many total outcomes are there if you are rolling two dice? (this is assuming that the dice are different, i.e. 1, 6 isn t the same as a 6, 1)

Size: px
Start display at page:

Download "* How many total outcomes are there if you are rolling two dice? (this is assuming that the dice are different, i.e. 1, 6 isn t the same as a 6, 1)"

Transcription

1 Compound probability and predictions Objective: Student will learn counting techniques * Go over HW -Review counting tree -All possible outcomes is called a sample space Go through Problem on P. 12, #2 * How many total outcomes are there if you are rolling two dice? (this is assuming that the dice are different, i.e. 1, 6 isn t the same as a 6, 1) * Have students go through Addition game with dice (w/ partner) One person is odd one person is even The person with the most points wins. * Go through creating a table of values to organize the sample space. * Have students go through Multiplication game with dice (w/partner) What is the theoretical probability of and

2 Probability #5: Counting Games Name Addition Game Rules * Two dice are rolled. * If the sum (add the numbers together) of the number is odd player A scores a point * If the sum of the numbers is even player B scores a point * Roll the dice 36 times and record the results. The person with the most points at the end wins. Odd Even Addition Game Follow-up 1. What was the experimental probability of the following: 2. What was the theoretical probability for each of the following: (For this you will need to identify the total number of outcomes and the total number of odd and even outcomes.) 3. Is this a fair game? Explain. 4. Find the probability of rolling a 7 in the addition game. 5. Find the probability of rolling a number divisible by 3 in the addition game.

3 Homework 1. Find the probability of getting the following results when two number cubes are rolled. a. A sum of 10 b. A sum more than 8 c. A sum of 7 or 11 d. A pair of 5 s 2. Suppose you were to spin the spinner below and then roll a number cube a. Make an organized list of possible outcomes b. What is the probability that you will get a 1 on both the number cube and spinner? c. What is the probability that you will not get a 1 on both the number cube and spinner? d. What is the probability that you will get a 1 on the number cube or the spinner? e. What is the probability that you will get the same number on the number cube and the spinner? f. What is the probability that the sum of the number on the spinner and the number on the number cube will be greater than 8? g. What is the probability that the product of the number on the spinner and the number on the number cube will be 0? 3. Suppose that Ted and Jack did an experiment using the spinner and number cube from question 2. For each trial, they spun the spinner and then rolled the number cube. They got a 1 on both the spinner and the number cube in 4 out of 36 trials. a. Based on the results, what is the experimental probability of getting a 1 on both the number cube and the spinner? b. After comparing the experimental and theoretical probabilities of getting a 1 on both the number cube and spinner, Jack and Ted decided there must be something wrong with the spinner or number cube since the probabilities are not the same. Do you agree? Why or why not?

4 Probability #6: Counting Games Name Multiplication Game Rules * Two dice are rolled. * If the product (multiply the numbers together) of the number is odd player A scores a point * If the product of the numbers is even player B scores a point * Roll the dice 36 times and record the results. The person with the most points at the end wins. Odd Even Multiplication Game Follow-up 1. What was the experimental probability of the following: 2. What was the theoretical probability for each of the following: (For this you will need to identify the total number of outcomes and the total number of odd and even outcomes.) 3. Is this a fair game? Explain.

5 Homework 1. Samira says that if she rolls two number cubes 36 times, she will get a product of 1 exactly once. Lexi says that Samira can t be sure this will happen exactly once, but it will probably happen very few times. Who is right? Explain. 2. Dustin tells Jack that if he rolls two number cubes 100 times, he will never get a product of 32. Ed tells him that he can t be sure. Who is right? Explain your reasoning. 3. Lynda and Matt are trying to decide whether to play a certain game at a carnival. It takes one ticket to play the game. A player flips two plastic bottles. If both bottles land standing up, the player wins ten tickets to use for rides and games. They watch several people play the game and find the following results: i. Both on side: 24 times ii. One standing up and one on side: 14 times iii. Both standing up: 2 times a. Base on the results, what is the probability of winning the game? b. If this game was played 20 times, how many times could you expect to win? c. Wow many tickets would you expect to be ahead or behind by after playing 20 times. Explain. d. Is it possible to find the theoretical probability of winning this game? Why or why not?

Practice Ace Problems

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

More information

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.

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

More information

1. Decide whether the possible resulting events are equally likely. Explain. Possible resulting events

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.

More information

Basic Probability Ideas. Experiment - a situation involving chance or probability that leads to results called outcomes.

Basic Probability Ideas. Experiment - a situation involving chance or probability that leads to results called outcomes. Basic Probability Ideas Experiment - a situation involving chance or probability that leads to results called outcomes. Random Experiment the process of observing the outcome of a chance event Simulation

More information

Math 7 /Unit 5 Practice Test: Probability

Math 7 /Unit 5 Practice Test: Probability Math 7 /Unit 5 Practice Test: Probability Name Date 1. Define probability. 2. Define experimental probability.. Define sample space for an experiment 4. What makes experimental probability different from

More information

10-4 Theoretical Probability

10-4 Theoretical Probability Problem of the Day A spinner is divided into 4 different colored sections. It is designed so that the probability of spinning red is twice the probability of spinning green, the probability of spinning

More information

Date Learning Target/s Classwork Homework Self-Assess Your Learning. Pg. 2-3: WDYE 2.3: Designing a Fair Game

Date Learning Target/s Classwork Homework Self-Assess Your Learning. Pg. 2-3: WDYE 2.3: Designing a Fair Game What Do You Expect: Probability and Expected Value Name: Per: Investigation 2: Experimental and Theoretical Probability Date Learning Target/s Classwork Homework Self-Assess Your Learning Mon, Feb. 29

More information

2. A bubble-gum machine contains 25 gumballs. There are 12 green, 6 purple, 2 orange, and 5 yellow gumballs.

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

More information

Name Class Date. Introducing Probability Distributions

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

More information

These Are a Few of My Favorite Things

These Are a Few of My Favorite Things Lesson.1 Assignment Name Date These Are a Few of My Favorite Things Modeling Probability 1. A board game includes the spinner shown in the figure that players must use to advance a game piece around the

More information

Lesson 3: Chance Experiments with Equally Likely Outcomes

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

More information

Revision Topic 17: Probability Estimating probabilities: Relative frequency

Revision Topic 17: Probability Estimating probabilities: Relative frequency Revision Topic 17: Probability Estimating probabilities: Relative frequency Probabilities can be estimated from experiments. The relative frequency is found using the formula: number of times event occurs.

More information

Find the probability of an event by using the definition of probability

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

More information

MATH STUDENT BOOK. 7th Grade Unit 6

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

More information

e. Are the probabilities you found in parts (a)-(f) experimental probabilities or theoretical probabilities? Explain.

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

More information

A. 15 B. 24 C. 45 D. 54

A. 15 B. 24 C. 45 D. 54 A spinner is divided into 8 equal sections. Lara spins the spinner 120 times. It lands on purple 30 times. How many more times does Lara need to spin the spinner and have it land on purple for the relative

More information

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, 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

More information

Foundations to Algebra In Class: Investigating Probability

Foundations to Algebra In Class: Investigating Probability Foundations to Algebra In Class: Investigating Probability Name Date How can I use probability to make predictions? Have you ever tried to predict which football team will win a big game? If so, you probably

More information

1. Theoretical probability is what should happen (based on math), while probability is what actually happens.

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

More information

green, green, green, green, green The favorable outcomes of the event are blue and red.

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,

More information

Making Predictions with Theoretical Probability

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.

More information

Unit 6: Probability Summative Assessment. 2. The probability of a given event can be represented as a ratio between what two numbers?

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

More information

What Do You Expect? Concepts

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

More information

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. 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)

More information

Line Master 1 (Assessment Master) Add and subtract to 20 Not observed Sometimes Consistently Models and describes addition situations

Line Master 1 (Assessment Master) Add and subtract to 20 Not observed Sometimes Consistently Models and describes addition situations Buy 1 Get 1 Line Master 1 (Assessment Master) Name: Add and subtract to 20 Not observed Sometimes Consistently Models and describes addition situations Uses + and = appropriately Models and describes subtraction

More information

Lesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes

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

More information

Chapter 8: Probability: The Mathematics of Chance

Chapter 8: Probability: The Mathematics of Chance Chapter 8: Probability: The Mathematics of Chance Free-Response 1. A spinner with regions numbered 1 to 4 is spun and a coin is tossed. Both the number spun and whether the coin lands heads or tails is

More information

Unit 9: Probability Assignments

Unit 9: Probability Assignments Unit 9: Probability Assignments #1: Basic Probability In each of exercises 1 & 2, find the probability that the spinner shown would land on (a) red, (b) yellow, (c) blue. 1. 2. Y B B Y B R Y Y B R 3. Suppose

More information

Date Learning Target/s Classwork Homework Self-Assess Your Learning. Pg. 2-3: WDYE 3.1: Designing a Spinner. Pg. 5-6: WDYE 3.2: Making Decisions

Date Learning Target/s Classwork Homework Self-Assess Your Learning. Pg. 2-3: WDYE 3.1: Designing a Spinner. Pg. 5-6: WDYE 3.2: Making Decisions What Do You Expect: Probability and Expected Value Name: Per: Investigation 3: Making Decisions and Investigation 4: Area Models Date Learning Target/s Classwork Homework Self-Assess Your Learning Fri,

More information

Lesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes

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

More information

Theoretical or Experimental Probability? Are the following situations examples of theoretical or experimental probability?

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

More information

Algebra 2 P49 Pre 10 1 Measures of Central Tendency Box and Whisker Plots Variation and Outliers

Algebra 2 P49 Pre 10 1 Measures of Central Tendency Box and Whisker Plots Variation and Outliers Algebra 2 P49 Pre 10 1 Measures of Central Tendency Box and Whisker Plots Variation and Outliers 10 1 Sample Spaces and Probability Mean Average = 40/8 = 5 Measures of Central Tendency 2,3,3,4,5,6,8,9

More information

This unit will help you work out probability and use experimental probability and frequency trees. Key points

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

More information

Ch Probability Outcomes & Trials

Ch Probability Outcomes & Trials Learning Intentions: Ch. 10.2 Probability Outcomes & Trials Define the basic terms & concepts of probability. Find experimental probabilities. Calculate theoretical probabilities. Vocabulary: Trial: real-world

More information

COMPOUND EVENTS. Judo Math Inc.

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)

More information

Probability of Independent Events. If A and B are independent events, then the probability that both A and B occur is: P(A and B) 5 P(A) p P(B)

Probability of Independent Events. If A and B are independent events, then the probability that both A and B occur is: P(A and B) 5 P(A) p P(B) 10.5 a.1, a.5 TEKS Find Probabilities of Independent and Dependent Events Before You found probabilities of compound events. Now You will examine independent and dependent events. Why? So you can formulate

More information

PRE TEST. Math in a Cultural Context*

PRE TEST. Math in a Cultural Context* P grade PRE TEST Salmon Fishing: Investigations into A 6P th module in the Math in a Cultural Context* UNIVERSITY OF ALASKA FAIRBANKS Student Name: Grade: Teacher: School: Location of School: Date: *This

More information

This Probability Packet Belongs to:

This Probability Packet Belongs to: This Probability Packet Belongs to: 1 2 Station #1: M & M s 1. What is the sample space of your bag of M&M s? 2. Find the theoretical probability of the M&M s in your bag. Then, place the candy back into

More information

Lesson 17.1 Assignment

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

More information

Independent Events B R Y

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

More information

Probability. March 06, J. Boulton MDM 4U1. P(A) = n(a) n(s) Introductory Probability

Probability. March 06, J. Boulton MDM 4U1. P(A) = n(a) n(s) Introductory Probability Most people think they understand odds and probability. Do you? Decision 1: Pick a card Decision 2: Switch or don't Outcomes: Make a tree diagram Do you think you understand probability? Probability Write

More information

Compound Events: Making an Organized List

Compound Events: Making an Organized List 136 8 7.SP.6 7.SP.8a 7.SP.8b Objective Common Core State Standards Compound Events: Making an Organized List Experience with experiments helps students build on their intuitive sense about probability.

More information

What Do You Expect Unit (WDYE): Probability and Expected Value

What Do You Expect Unit (WDYE): Probability and Expected Value Name: Per: What Do You Expect Unit (WDYE): Probability and Expected Value Investigations 1 & 2: A First Look at Chance and Experimental and Theoretical Probability Date Learning Target/s Classwork Homework

More information

Expected Value, continued

Expected Value, continued Expected Value, continued Data from Tuesday On Tuesday each person rolled a die until obtaining each number at least once, and counted the number of rolls it took. Each person did this twice. The data

More information

\\\v?i. EXERCISES Activity a. Determine the complement of event A in the roll-a-die experiment.

\\\v?i. EXERCISES Activity a. Determine the complement of event A in the roll-a-die experiment. ACTIVITY 6.2 CHOICES 719 11. a. Determine the complement of event A in the roll-a-die experiment. b. Describe what portion of the Venn diagram above represents the complement of A. SUMMARY Activity 6.2

More information

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. 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

More information

A C E. Answers Investigation 3. Applications. 12, or or 1 4 c. Choose Spinner B, because the probability for hot dogs on Spinner A is

A C E. Answers Investigation 3. Applications. 12, or or 1 4 c. Choose Spinner B, because the probability for hot dogs on Spinner A is Answers Investigation Applications. a. Answers will vary, but should be about for red, for blue, and for yellow. b. Possible answer: I divided the large red section in half, and then I could see that the

More information

Presentation by Toy Designers: Max Ashley

Presentation by Toy Designers: Max Ashley A new game for your toy company Presentation by Toy Designers: Shawntee Max Ashley As game designers, we believe that the new game for your company should: Be equally likely, giving each player an equal

More information

Bellwork Write each fraction as a percent Evaluate P P C C 6

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

More information

Data Collection Sheet

Data Collection Sheet Data Collection Sheet Name: Date: 1 Step Race Car Game Play 5 games where player 1 moves on roles of 1, 2, and 3 and player 2 moves on roles of 4, 5, # of times Player1 wins: 3. What is the theoretical

More information

NAME DATE PERIOD. Study Guide and Intervention

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.

More information

A prime number = Player X wins. An even number = Player X wins. A number not divisible by three = Player X wins RANDOM NUMBER GENERATOR

A prime number = Player X wins. An even number = Player X wins. A number not divisible by three = Player X wins RANDOM NUMBER GENERATOR If you toss a coin ten times, what is the probability of getting three or more heads in a row? If an airline overbooks a certain flight, what is the chance more passengers show up than the airplane has

More information

Probability Essential Math 12 Mr. Morin

Probability Essential Math 12 Mr. Morin Probability Essential Math 12 Mr. Morin Name: Slot: Introduction Probability and Odds Single Event Probability and Odds Two and Multiple Event Experimental and Theoretical Probability Expected Value (Expected

More information

Counting Methods and Probability

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

More information

Key Concepts. Theoretical Probability. Terminology. Lesson 11-1

Key Concepts. Theoretical Probability. Terminology. Lesson 11-1 Key Concepts Theoretical Probability Lesson - Objective Teach students the terminology used in probability theory, and how to make calculations pertaining to experiments where all outcomes are equally

More information

Section A Calculating Probabilities & Listing Outcomes Grade F D

Section A Calculating Probabilities & Listing Outcomes Grade F D Name: Teacher Assessment Section A Calculating Probabilities & Listing Outcomes Grade F D 1. A fair ordinary six-sided dice is thrown once. The boxes show some of the possible outcomes. Draw a line from

More information

Math 7 Notes - Unit 7B (Chapter 11) Probability

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

More information

SERIES Chance and Probability

SERIES Chance and Probability F Teacher Student Book Name Series F Contents Topic Section Chance Answers and (pp. Probability 0) (pp. 0) ordering chance and events probability_ / / relating fractions to likelihood / / chance experiments

More information

Lesson 11.3 Independent Events

Lesson 11.3 Independent Events Lesson 11.3 Independent Events Draw a tree diagram to represent each situation. 1. Popping a balloon randomly from a centerpiece consisting of 1 black balloon and 1 white balloon, followed by tossing a

More information

Chance and Probability

Chance and Probability F Student Book Name Series F Contents Topic Chance and probability (pp. 0) ordering events relating fractions to likelihood chance experiments fair or unfair the mathletics cup create greedy pig solve

More information

Use this information to answer the following questions.

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

More information

6. a) Determine the probability distribution. b) Determine the expected sum of two dice. c) Repeat parts a) and b) for the sum of

6. a) Determine the probability distribution. b) Determine the expected sum of two dice. c) Repeat parts a) and b) for the sum of d) generating a random number between 1 and 20 with a calculator e) guessing a person s age f) cutting a card from a well-shuffled deck g) rolling a number with two dice 3. Given the following probability

More information

Now let s figure the probability that Angelina picked a green marble if Marc did not replace his marble.

Now let s figure the probability that Angelina picked a green marble if Marc did not replace his marble. Find the probability of an event with or without replacement : The probability of an outcome of an event is the ratio of the number of ways that outcome can occur to the total number of different possible

More information

When a number cube is rolled once, the possible numbers that could show face up are

When a number cube is rolled once, the possible numbers that could show face up are C3 Chapter 12 Understanding Probability Essential question: How can you describe the likelihood of an event? Example 1 Likelihood of an Event When a number cube is rolled once, the possible numbers that

More information

FSA 7 th Grade Math. MAFS.7.SP.1.1 & MAFS.7.SP.1.2 Level 2. MAFS.7.SP.1.1 & MAFS.7.SP.1.2 Level 2. MAFS.7.SP.1.1 & MAFS.7.SP.1.

FSA 7 th Grade Math. MAFS.7.SP.1.1 & MAFS.7.SP.1.2 Level 2. MAFS.7.SP.1.1 & MAFS.7.SP.1.2 Level 2. MAFS.7.SP.1.1 & MAFS.7.SP.1. FSA 7 th Grade Math Statistics and Probability Two students are taking surveys to find out if people will vote to fund the building of a new city park on election day. Levonia asks 20 parents of her friends.

More information

Compound Events. Identify events as simple or compound.

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

More information

CSC/MTH 231 Discrete Structures II Spring, Homework 5

CSC/MTH 231 Discrete Structures II Spring, Homework 5 CSC/MTH 231 Discrete Structures II Spring, 2010 Homework 5 Name 1. A six sided die D (with sides numbered 1, 2, 3, 4, 5, 6) is thrown once. a. What is the probability that a 3 is thrown? b. What is the

More information

Name Date. Sample Spaces and Probability For use with Exploration 12.1

Name Date. Sample Spaces and Probability For use with Exploration 12.1 . Sample Spaces and Probability For use with Exploration. Essential Question How can you list the possible outcomes in the sample space of an experiment? The sample space of an experiment is the set of

More information

Unit 6: What Do You Expect? Investigation 2: Experimental and Theoretical Probability

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

More information

Probability, Continued

Probability, Continued Probability, Continued 12 February 2014 Probability II 12 February 2014 1/21 Last time we conducted several probability experiments. We ll do one more before starting to look at how to compute theoretical

More information

Essential Question How can you list the possible outcomes in the sample space of an experiment?

Essential Question How can you list the possible outcomes in the sample space of an experiment? . TEXAS ESSENTIAL KNOWLEDGE AND SKILLS G..B Sample Spaces and Probability Essential Question How can you list the possible outcomes in the sample space of an experiment? The sample space of an experiment

More information

Probability. Sometimes we know that an event cannot happen, for example, we cannot fly to the sun. We say the event is impossible

Probability. Sometimes we know that an event cannot happen, for example, we cannot fly to the sun. We say the event is impossible Probability Sometimes we know that an event cannot happen, for example, we cannot fly to the sun. We say the event is impossible Impossible In summer, it doesn t rain much in Cape Town, so on a chosen

More information

PRE TEST KEY. Math in a Cultural Context*

PRE TEST KEY. Math in a Cultural Context* PRE TEST KEY Salmon Fishing: Investigations into A 6 th grade module in the Math in a Cultural Context* UNIVERSITY OF ALASKA FAIRBANKS Student Name: PRE TEST KEY Grade: Teacher: School: Location of School:

More information

Fair Game Review. Chapter 9. Simplify the fraction

Fair Game Review. Chapter 9. Simplify the fraction Name Date Chapter 9 Simplify the fraction. 1. 10 12 Fair Game Review 2. 36 72 3. 14 28 4. 18 26 5. 32 48 6. 65 91 7. There are 90 students involved in the mentoring program. Of these students, 60 are girls.

More information

Name Date Trial 1: Capture distances with only decimeter markings. Name Trial 1 Trial 2 Trial 3 Average

Name Date Trial 1: Capture distances with only decimeter markings. Name Trial 1 Trial 2 Trial 3 Average Decimal Drop Name Date Trial 1: Capture distances with only decimeter markings. Name Trial 1 Trial 2 Trial 3 Average Trial 2: Capture distances with centimeter markings Name Trial 1 Trial 2 Trial 3 Average

More information

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 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

More information

Section 7.1 Experiments, Sample Spaces, and Events

Section 7.1 Experiments, Sample Spaces, and Events Section 7.1 Experiments, Sample Spaces, and Events Experiments An experiment is an activity with observable results. 1. Which of the follow are experiments? (a) Going into a room and turning on a light.

More information

Bell Work. Warm-Up Exercises. Two six-sided dice are rolled. Find the probability of each sum or 7

Bell Work. Warm-Up Exercises. Two six-sided dice are rolled. Find the probability of each sum or 7 Warm-Up Exercises Two six-sided dice are rolled. Find the probability of each sum. 1. 7 Bell Work 2. 5 or 7 3. You toss a coin 3 times. What is the probability of getting 3 heads? Warm-Up Notes Exercises

More information

Ex 1: A coin is flipped. Heads, you win $1. Tails, you lose $1. What is the expected value of this game?

Ex 1: A coin is flipped. Heads, you win $1. Tails, you lose $1. What is the expected value of this game? AFM Unit 7 Day 5 Notes Expected Value and Fairness Name Date Expected Value: the weighted average of possible values of a random variable, with weights given by their respective theoretical probabilities.

More information

Chapter 1. Probability

Chapter 1. Probability Chapter 1. Probability 1.1 Basic Concepts Scientific method a. For a given problem, we define measures that explains the problem well. b. Data is collected with observation and the measures are calculated.

More information

Making Predictions with Theoretical Probability. ESSENTIAL QUESTION How do you make predictions using theoretical probability?

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

More information

PROBABILITY M.K. HOME TUITION. Mathematics Revision Guides. Level: GCSE Foundation Tier

PROBABILITY M.K. HOME TUITION. Mathematics Revision Guides. Level: GCSE Foundation Tier Mathematics Revision Guides Probability Page 1 of 18 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Foundation Tier PROBABILITY Version: 2.1 Date: 08-10-2015 Mathematics Revision Guides Probability

More information

Lesson 16.1 Assignment

Lesson 16.1 Assignment Lesson 16.1 Assignment Name Date Rolling, Rolling, Rolling... Defining and Representing Probability 1. Rasheed is getting dressed in the dark. He reaches into his sock drawer to get a pair of socks. He

More information

Part 1: I can express probability as a fraction, decimal, and percent

Part 1: I can express probability as a fraction, decimal, and percent Name: Pattern: Part 1: I can express probability as a fraction, decimal, and percent For #1 to #4, state the probability of each outcome. Write each answer as a) a fraction b) a decimal c) a percent Example:

More information

7 5 Compound Events. March 23, Alg2 7.5B Notes on Monday.notebook

7 5 Compound Events. March 23, Alg2 7.5B Notes on Monday.notebook 7 5 Compound Events At a juice bottling factory, quality control technicians randomly select bottles and mark them pass or fail. The manager randomly selects the results of 50 tests and organizes the data

More information

Section Theoretical and Experimental Probability...Wks 3

Section Theoretical and Experimental Probability...Wks 3 Name: Class: Date: Section 6.8......Theoretical and Experimental Probability...Wks 3. Eight balls numbered from to 8 are placed in a basket. One ball is selected at random. Find the probability that it

More information

Domino Games. Variation - This came can also be played by multiplying each side of a domino.

Domino Games. Variation - This came can also be played by multiplying each side of a domino. Domino Games Domino War This is a game for two people. 1. Place all the dominoes face down. 2. Each person places their hand on a domino. 3. At the same time, flip the domino over and whisper the sum of

More information

Lesson 15.5: Independent and Dependent Events

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

More information

3.6 Theoretical and Experimental Coin Tosses

3.6 Theoretical and Experimental Coin Tosses wwwck12org Chapter 3 Introduction to Discrete Random Variables 36 Theoretical and Experimental Coin Tosses Here you ll simulate coin tosses using technology to calculate experimental probability Then you

More information

Georgia Department of Education Georgia Standards of Excellence Framework GSE Geometry Unit 6

Georgia Department of Education Georgia Standards of Excellence Framework GSE Geometry Unit 6 How Odd? Standards Addressed in this Task MGSE9-12.S.CP.1 Describe categories of events as subsets of a sample space using unions, intersections, or complements of other events (or, and, not). MGSE9-12.S.CP.7

More information

BALTIMORE COUNTY PUBLIC SCHOOLS. Rock n Roll

BALTIMORE COUNTY PUBLIC SCHOOLS. Rock n Roll Number cube labeled 1-6 (A template to make a cube is at the back of this packet.)36 counters Rock n Roll Paper Pencil None The first player rolls the number cube to find out how many groups of counters

More information

Name: Class: Date: Probability/Counting Multiple Choice Pre-Test

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.

More information

4.1 Sample Spaces and Events

4.1 Sample Spaces and Events 4.1 Sample Spaces and Events An experiment is an activity that has observable results. Examples: Tossing a coin, rolling dice, picking marbles out of a jar, etc. The result of an experiment is called an

More information

Problem of the Month. Fair Games. Problem of the Month Fair Games Page 1

Problem of the Month. Fair Games. Problem of the Month Fair Games Page 1 Problem of the Month Fair Games The Race Rules: There are three players: Yellow, Blue and Red. Each player puts a token on the Start square of their color path. The players take turns by spinning the spinner.

More information

Making Decisions With Probability

Making Decisions With Probability Making Decisions With Probability! Spring vacation has arrived! Kalvin thinks he can stay up until 11:00 P.M. every night. His father thinks Kalvin will have more energy for his activities (such as roller

More information

Probability Assignment

Probability Assignment Name Probability Assignment Student # Hr 1. An experiment consists of spinning the spinner one time. a. How many possible outcomes are there? b. List the sample space for the experiment. c. Determine the

More information

Toss two coins 60 times. Record the number of heads in each trial, in a table.

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:

More information

Unit 1B-Modelling with Statistics. By: Niha, Julia, Jankhna, and Prerana

Unit 1B-Modelling with Statistics. By: Niha, Julia, Jankhna, and Prerana Unit 1B-Modelling with Statistics By: Niha, Julia, Jankhna, and Prerana [ Definitions ] A population is any large collection of objects or individuals, such as Americans, students, or trees about which

More information

Math 1313 Section 6.2 Definition of Probability

Math 1313 Section 6.2 Definition of Probability Math 1313 Section 6.2 Definition of Probability Probability is a measure of the likelihood that an event occurs. For example, if there is a 20% chance of rain tomorrow, that means that the probability

More information

Chance and Probability

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

More information