10-4 Theoretical Probability

Size: px
Start display at page:

Download "10-4 Theoretical Probability"

Transcription

1 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 blue is 3 times the probability of spinning green, and the probability of spinning yellow is 4 times the probability of spinning green. What is the probability of spinning yellow? 0.4

2 Pg. 540 Learn to estimate probability using theoretical methods.

3 Theoretical probability is used to estimate probabilities by making certain assumptions about an experiment. Suppose a sample space has 5 outcomes that are equally likely, that is, they all have the same probability, x. The probabilities must add to 1. x + x + x + x + x = 1 5x = 1 x = 1 5

4 A coin, die, or other object is called fair if all outcomes are equally likely.

5 An experiment consists of spinning this spinner once. Find the probability of the event. Leave the answer in fraction form. P(4) The spinner is fair, so all 5 outcomes are equally likely: 1, 2, 3, 4, and 5. P(4) = number of outcomes for 4 = 5 1 5

6 Example 1: An experiment consists of spinning this spinner once. Find the probability of the event. Leave the answer in fraction form. P(even number) for answer move square to the right 2 5

7 Example 2: An experiment consists of spinning this spinner once. Find the probability of the event. Leave the answer in fraction form. P(1) for answer move square to the right 1 5 for answer move square to the right P(1 or an even #) 3 5

8 An experiment consists of rolling one fair number cube and flipping a coin. Find the probability of the event. Show a sample space that has all outcomes equally likely. The outcome of rolling a 5 and flipping heads can be written as the ordered pair (5, H). There are 12 possible outcomes in the sample space. 1H 2H 3H 4H 5H 6H 1T 2T 3T 4T 5T 6T

9 Example 3: An experiment consists of flipping two coins. Find the probability of the event. Leave the answer in fraction form. P(one head & one tail) List all the possible outcome in the sample space: P(head and tail) = for answer move square to the right 1 2

10 Example 4: An experiment consists of flipping two coins. Find the probability of the event. Leave the answer in fraction form. P(both tails) P(both tails) = for answer move square to the right 1 4

11 Stephany has 2 dimes and 3 nickels. How many pennies should be added so that the probability of drawing a nickel is 3? x = 3 7 Set up a proportion. 3(5 + x) = 3(7) Find the cross products. Solve. 2 pennies should be added to the bag.

12 Example 5: Carl has 3 green buttons and 4 purple buttons. How many white buttons should be added so that the probability of drawing a purple button is 2? 9 Adding buttons to the bag will increase the number of possible outcomes. Let x equal the number of white buttons. Set up a proportion x = 2 9 Find the cross products. 2(7 + x) = 9(4) Solve. x = 11

13 Two events are mutually exclusive, or disjoint events, if they cannot both occur in the same trial of an experiment. For example, rolling a 5 and an even number on a number cube are mutually exclusive events because they cannot both happen at the same time. Suppose both A and B are two mutually exclusive events. P(both A and B will occur) = 0 P(either A or B will occur) = P(A) + P(B)

14 Suppose you are playing a game in which you roll two fair number cubes. If you roll a total of five you will win. If you roll a total of two, you will lose. If you roll anything else, the game continues. What is the probability that you will lose on your next roll? The event total = 2 consists of 1 outcome, (1, 1), so (total = 2) = The probability that you will lose is 1, or about 3%. 36

15 Example 6: An experiment consists of rolling two fair number cubes. Find the probability of each event. a.) P(total shown = 8) b.) P(total shown > 9) c.) P(at least one 3)

16 Homework #24 Lesson 10.4 Pg. 543 (1 24 ALL) Check your odd answers at home in the back of the book with a red pen!

17

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

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

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

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

INDEPENDENT AND DEPENDENT EVENTS UNIT 6: PROBABILITY DAY 2

INDEPENDENT AND DEPENDENT EVENTS UNIT 6: PROBABILITY DAY 2 INDEPENDENT AND DEPENDENT EVENTS UNIT 6: PROBABILITY DAY 2 WARM UP Students in a mathematics class pick a card from a standard deck of 52 cards, record the suit, and return the card to the deck. The results

More information

Lesson Lesson 3.7 ~ Theoretical Probability

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

More information

Review. Natural Numbers: Whole Numbers: Integers: Rational Numbers: Outline Sec Comparing Rational Numbers

Review. Natural Numbers: Whole Numbers: Integers: Rational Numbers: Outline Sec Comparing Rational Numbers FOUNDATIONS Outline Sec. 3-1 Gallo Name: Date: Review Natural Numbers: Whole Numbers: Integers: Rational Numbers: Comparing Rational Numbers Fractions: A way of representing a division of a whole into

More information

Define and Diagram Outcomes (Subsets) of the Sample Space (Universal Set)

Define and Diagram Outcomes (Subsets) of the Sample Space (Universal Set) 12.3 and 12.4 Notes Geometry 1 Diagramming the Sample Space using Venn Diagrams A sample space represents all things that could occur for a given event. In set theory language this would be known as the

More information

Name Date Class. 2. dime. 3. nickel. 6. randomly drawing 1 of the 4 S s from a bag of 100 Scrabble tiles

Name Date Class. 2. dime. 3. nickel. 6. randomly drawing 1 of the 4 S s from a bag of 100 Scrabble tiles Name Date Class Practice A Tina has 3 quarters, 1 dime, and 6 nickels in her pocket. Find the probability of randomly drawing each of the following coins. Write your answer as a fraction, as a decimal,

More information

Compound Probability. A to determine the likelihood of two events occurring at the. ***Events can be classified as independent or dependent events.

Compound Probability. A to determine the likelihood of two events occurring at the. ***Events can be classified as independent or dependent events. Probability 68B A to determine the likelihood of two events occurring at the. ***Events can be classified as independent or dependent events. Independent Events are events in which the result of event

More information

Basic Probability. Let! = # 8 # < 13, # N -,., and / are the subsets of! such that - = multiples of four. = factors of 24 / = square numbers

Basic Probability. Let! = # 8 # < 13, # N -,., and / are the subsets of! such that - = multiples of four. = factors of 24 / = square numbers Basic Probability Let! = # 8 # < 13, # N -,., and / are the subsets of! such that - = multiples of four. = factors of 24 / = square numbers (a) List the elements of!. (b) (i) Draw a Venn diagram to show

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

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

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

Mutually Exclusive Events

Mutually Exclusive Events Mutually Exclusive Events Suppose you are rolling a six-sided die. What is the probability that you roll an odd number and you roll a 2? Can these both occur at the same time? Why or why not? Mutually

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

Key Concept Probability of Independent Events. Key Concept Probability of Mutually Exclusive Events. Key Concept Probability of Overlapping Events

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,

More information

Answer each of the following problems. Make sure to show your work.

Answer each of the following problems. Make sure to show your work. Answer each of the following problems. Make sure to show your work. 1. A board game requires each player to roll a die. The player with the highest number wins. If a player wants to calculate his or her

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

Name: Class: Date: ID: A

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,

More information

10-8 Probability of Compound Events

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

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

Welcome! U4H2: Worksheet # s 2-7, 9-13, 16, 20. Updates: U4T is 12/12. Announcement: December 16 th is the last day I will accept late work.

Welcome! U4H2: Worksheet # s 2-7, 9-13, 16, 20. Updates: U4T is 12/12. Announcement: December 16 th is the last day I will accept late work. Welcome! U4H2: Worksheet # s 2-7, 9-13, 16, 20 Updates: U4T is 12/12 Announcement: December 16 th is the last day I will accept late work. 1 Review U4H1 2 Theoretical Probability 3 Experimental Probability

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

* 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)

* 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) 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

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

(a) Suppose you flip a coin and roll a die. Are the events obtain a head and roll a 5 dependent or independent events?

(a) Suppose you flip a coin and roll a die. Are the events obtain a head and roll a 5 dependent or independent events? Unit 6 Probability Name: Date: Hour: Multiplication Rule of Probability By the end of this lesson, you will be able to Understand Independence Use the Multiplication Rule for independent events Independent

More information

ACTIVITY: Conducting Experiments

ACTIVITY: Conducting Experiments 0. Outcomes and Events the number of possible results? In an experiment, how can you determine An experiment is an investigation or a procedure that has varying results. Flipping a coin, rolling a number

More information

FAVORITE MEALS NUMBER OF PEOPLE Hamburger and French fries 17 Spaghetti 8 Chili 12 Vegetarian delight 3

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

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

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

Probability CK-12. Say Thanks to the Authors Click (No sign in required)

Probability CK-12. Say Thanks to the Authors Click   (No sign in required) Probability CK-12 Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive content, visit www.ck12.org

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

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

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

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? 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

Probability 1. Joseph Spring School of Computer Science. SSP and Probability

Probability 1. Joseph Spring School of Computer Science. SSP and Probability Probability 1 Joseph Spring School of Computer Science SSP and Probability Areas for Discussion Experimental v Theoretical Probability Looking Back v Looking Forward Theoretical Probability Sample Space,

More information

A referee flipped a fair coin to decide which football team would start the game with

A referee flipped a fair coin to decide which football team would start the game with Probability Lesson.1 A referee flipped a fair coin to decide which football team would start the game with the ball. The coin was just as likely to land heads as tails. Which way do you think the coin

More information

Probability and Randomness. Day 1

Probability and Randomness. Day 1 Probability and Randomness Day 1 Randomness and Probability The mathematics of chance is called. The probability of any outcome of a chance process is a number between that describes the proportion of

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

Answer each of the following problems. Make sure to show your work.

Answer each of the following problems. Make sure to show your work. Answer each of the following problems. Make sure to show your work. 1. A board game requires each player to roll a die. The player with the highest number wins. If a player wants to calculate his or her

More information

Probability Test Review Math 2. a. What is? b. What is? c. ( ) d. ( )

Probability Test Review Math 2. a. What is? b. What is? c. ( ) d. ( ) Probability Test Review Math 2 Name 1. Use the following venn diagram to answer the question: Event A: Odd Numbers Event B: Numbers greater than 10 a. What is? b. What is? c. ( ) d. ( ) 2. In Jason's homeroom

More information

SECONDARY 2 Honors ~ Lesson 9.2 Worksheet Intro to Probability

SECONDARY 2 Honors ~ Lesson 9.2 Worksheet Intro to Probability SECONDARY 2 Honors ~ Lesson 9.2 Worksheet Intro to Probability Name Period Write all probabilities as fractions in reduced form! Use the given information to complete problems 1-3. Five students have the

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

10 Probability. Why Learn This? 528 Chapter A Experimental and Theoretical Probability. 10B Probability and Counting

10 Probability. Why Learn This? 528 Chapter A Experimental and Theoretical Probability. 10B Probability and Counting CHPTER 0 Probability 0 Experimental and Theoretical Probability 0- Probability 0-2 Experimental Probability LB Use Different Models for Simulations 0-3 Theoretical Probability 0-4 Independent and Dependent

More information

Common Core Math Tutorial and Practice

Common Core Math Tutorial and Practice Common Core Math Tutorial and Practice TABLE OF CONTENTS Chapter One Number and Numerical Operations Number Sense...4 Ratios, Proportions, and Percents...12 Comparing and Ordering...19 Equivalent Numbers,

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

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

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

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

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 and Dependent Events

Probability of Independent and Dependent Events 706 Practice A Probability of In and ependent Events ecide whether each set of events is or. Explain your answer.. A student spins a spinner and rolls a number cube.. A student picks a raffle ticket from

More information

Chapter 10 Practice Test Probability

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

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

Probability of Compound Events

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

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

CC-13. Start with a plan. How many songs. are there MATHEMATICAL PRACTICES

CC-13. Start with a plan. How many songs. are there MATHEMATICAL PRACTICES CC- Interactive Learning Solve It! PURPOSE To determine the probability of a compound event using simple probability PROCESS Students may use simple probability by determining the number of favorable outcomes

More information

Grade 8 Math Assignment: Probability

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

More information

Probability Worksheet Yr 11 Maths B Term 4

Probability Worksheet Yr 11 Maths B Term 4 Probability Worksheet Yr Maths B Term A die is rolled. What is the probability that the number is an odd number or a? P(odd ) Pr(odd or a + 6 6 6 A set of cards is numbered {,, 6}. A card is selected at

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

CH 13. Probability and Data Analysis

CH 13. Probability and Data Analysis 11.1: Find Probabilities and Odds 11.2: Find Probabilities Using Permutations 11.3: Find Probabilities Using Combinations 11.4: Find Probabilities of Compound Events 11.5: Analyze Surveys and Samples 11.6:

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

TEKSING TOWARD STAAR MATHEMATICS GRADE 7. Projection Masters

TEKSING TOWARD STAAR MATHEMATICS GRADE 7. Projection Masters TEKSING TOWARD STAAR MATHEMATICS GRADE 7 Projection Masters Six Weeks 1 Lesson 1 STAAR Category 1 Grade 7 Mathematics TEKS 7.2A Understanding Rational Numbers A group of items or numbers is called a set.

More information

Mathacle. Name: Date:

Mathacle. Name: Date: Quiz Probability 1.) A telemarketer knows from past experience that when she makes a call, the probability that someone will answer the phone is 0.20. What is probability that the next two phone calls

More information

Chapter 1: Sets and Probability

Chapter 1: Sets and Probability Chapter 1: Sets and Probability Section 1.3-1.5 Recap: Sample Spaces and Events An is an activity that has observable results. An is the result of an experiment. Example 1 Examples of experiments: Flipping

More information

Most of the time we deal with theoretical probability. Experimental probability uses actual data that has been collected.

Most of the time we deal with theoretical probability. Experimental probability uses actual data that has been collected. AFM Unit 7 Day 3 Notes Theoretical vs. Experimental Probability Name Date Definitions: Experiment: process that gives a definite result Outcomes: results Sample space: set of all possible outcomes Event:

More information

Objective: Determine empirical probability based on specific sample data. (AA21)

Objective: Determine empirical probability based on specific sample data. (AA21) Do Now: What is an experiment? List some experiments. What types of things does one take a "chance" on? Mar 1 3:33 PM Date: Probability - Empirical - By Experiment Objective: Determine empirical probability

More information

Learn to find the probability of independent and dependent events.

Learn to find the probability of independent and dependent events. Learn to find the probability of independent and dependent events. Dependent Insert Lesson Events Title Here Vocabulary independent events dependent events Raji and Kara must each choose a topic from a

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

Classical vs. Empirical Probability Activity

Classical vs. Empirical Probability Activity Name: Date: Hour : Classical vs. Empirical Probability Activity (100 Formative Points) For this activity, you will be taking part in 5 different probability experiments: Rolling dice, drawing cards, drawing

More information

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

Two coins are tossed, what is the probability that the two coins show the same side up (both heads or both tails)?

Two coins are tossed, what is the probability that the two coins show the same side up (both heads or both tails)? Oops! Two coins are tossed, that both land heads up? Two coins are tossed, that the two coins show the same side up (both heads or both tails)? Three coins are tossed, that the three coins all land heads

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

Objectives. Determine whether events are independent or dependent. Find the probability of independent and dependent events.

Objectives. Determine whether events are independent or dependent. Find the probability of independent and dependent events. Objectives Determine whether events are independent or dependent. Find the probability of independent and dependent events. independent events dependent events conditional probability Vocabulary Events

More information

A B

A B PAGES 4-5 KEY Organize the data into the circles. A. Factors of 64: 1, 2, 4, 8, 16, 32, 64 B. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 A 16 32 64 3 6 12 24 B 1 2 4 8 Answer Questions about the diagram below

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

Answers for Chapter 12 Masters

Answers for Chapter 12 Masters Answers for Chapter 2 Masters Scaffolding Answers Scaffolding for Getting Started Activity pp. 55 56 A. 20-sided die: one on the die, 20 numbers on the die, 2 0 Spinner A: one on the spinner, 0 numbers

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

Probability, Permutations, & Combinations LESSON 11.1

Probability, Permutations, & Combinations LESSON 11.1 Probability, Permutations, & Combinations LESSON 11.1 Objective Define probability Use the counting principle Know the difference between combination and permutation Find probability Probability PROBABILITY:

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

Statistics and Probability

Statistics and Probability Lesson Statistics and Probability Name Use Centimeter Cubes to represent votes from a subgroup of a larger population. In the sample shown, the red cubes are modeled by the dark cubes and represent a yes

More information

Objectives To find probabilities of mutually exclusive and overlapping events To find probabilities of independent and dependent events

Objectives To find probabilities of mutually exclusive and overlapping events To find probabilities of independent and dependent events CC- Probability of Compound Events Common Core State Standards MACCS-CP Apply the Addition Rule, P(A or B) = P(A) + P(B) - P(A and B), and interpret the answer in terms of the model Also MACCS-CP MP, MP,

More information

Name Date Class. Identify the sample space and the outcome shown for each experiment. 1. spinning a spinner

Name Date Class. Identify the sample space and the outcome shown for each experiment. 1. spinning a spinner Name Date Class 0.5 Practice B Experimental Probability Identify the sample space and the outcome shown for each experiment.. spinning a spinner 2. tossing two coins Write impossible, unlikely, as likely

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

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

CSI 23 LECTURE NOTES (Ojakian) Topics 5 and 6: Probability Theory

CSI 23 LECTURE NOTES (Ojakian) Topics 5 and 6: Probability Theory CSI 23 LECTURE NOTES (Ojakian) Topics 5 and 6: Probability Theory 1. Probability Theory OUTLINE (References: 5.1, 5.2, 6.1, 6.2, 6.3) 2. Compound Events (using Complement, And, Or) 3. Conditional 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

CCM6+7+ Unit 11 ~ Page 1. Name Teacher: Townsend ESTIMATED ASSESSMENT DATES:

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

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

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

Probability and the Monty Hall Problem Rong Huang January 10, 2016

Probability and the Monty Hall Problem Rong Huang January 10, 2016 Probability and the Monty Hall Problem Rong Huang January 10, 2016 Warm-up: There is a sequence of number: 1, 2, 4, 8, 16, 32, 64, How does this sequence work? How do you get the next number from the previous

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

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

Date Period State if each scenario involves a permutation or a combination. Then find the number of possibilities. ncr or npr

Date Period State if each scenario involves a permutation or a combination. Then find the number of possibilities. ncr or npr Algebra 2 G h2y0cic pk_ultta` LSeoxfftrwFaPrXeq qlolkco.p E nalltls jroifgvhztdso mrxeosbe^ravyeddt. Ultimate Probability Name Date Period State if each scenario involves a permutation or a combination.

More information

Math 7 Notes - Unit 11 Probability

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

More information

Name: Class: Date: 6. An event occurs, on average, every 6 out of 17 times during a simulation. The experimental probability of this event is 11

Name: Class: Date: 6. An event occurs, on average, every 6 out of 17 times during a simulation. The experimental probability of this event is 11 Class: Date: Sample Mastery # Multiple Choice Identify the choice that best completes the statement or answers the question.. One repetition of an experiment is known as a(n) random variable expected value

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

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

Chapter 13 Test Review

Chapter 13 Test Review 1. The tree diagrams below show the sample space of choosing a cushion cover or a bedspread in silk or in cotton in red, orange, or green. Write the number of possible outcomes. A 6 B 10 C 12 D 4 Find

More information