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


 Cleopatra McCormick
 2 years ago
 Views:
Transcription
1 154 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, determining a solution, justifying the solution, and evaluating the problemsolving process and the reasonableness of the solution. Additional TEKS (1)(A), (1)(C) VOCABULARY Compound event an event that consists of two or more events linked by the word and or the word or Dependent events Two events are dependent if the occurrence of one event affects the probability of the other event. Independent events Two events are independent if the occurrence of one event does not affect the probability of the other event. Mutually exclusive events events that cannot happen at the same time Overlapping events events that have at least one outcome in common Formulate create with careful effort and purpose. You can formulate a plan or strategy to solve a problem. Reasonableness the quality of being within the realm of common sense or sound reasoning. The reasonableness of a solution is whether or not the solution makes sense Strategy a plan or method for solving a problem ESSENTIAL UNDERSTANDING You can find the probability of a compound event by using the probability of each part of the compound event. Key Concept Probability of Independent Events If A and B are independent events, then P (A and B) = P (A) # P (B). Key Concept Probability of Mutually Exclusive Events If A and B are mutually exclusive events, then P(A and B) = 0, and P (A or B) = P (A) + P (B). Key Concept Probability of Overlapping Events If A and B are overlapping events, then P (A or B) = P (A) + P(B)  P (A and B). 628 Lesson 154 Compound Probability
2 Problem 1 Identifying Independent and Dependent Events Are the outcomes of each trial independent or dependent events? How can you tell that two events are independent? Two events are independent if one does not affect the other. A Choose a number tile from 12 tiles. Then spin a spinner. The choice of number tile does not affect the spinner result. The events are independent. B Pick one card from a set of 15 sequentially numbered cards. Then, without replacing the card, pick another card. The first card chosen affects the possible outcomes of the second pick, so the events are dependent. Problem 2 Finding the Probability of Independent Events A desk drawer contains red pens, blue pens, black pens, silver paper clips, and white paper clips. If you select a pen and a paper clip from the drawer without looking, what is the probability that you select a blue pen and a white paper clip? 24 silver paper clips 16 white paper clips Why are the events independent? Selecting a blue pen has no affect on selecting a white paper clip. Step 1 Let A = selecting a blue pen. Find the probability of A. Step 2 P (A) = 14 = 7 6 blue pens out of 14 pens Let B = selecting a white paper clip. Find the probability of B. Step P (B) = 40 = 25 Find P (A and B) P (A and B) = P (A) 16 white paper clips out of 40 clips Use the formula for the probability of independent events. # P (B) = 7 # 25 = , or 17.1% The probability that you select a blue pen and a white paper clip is about 17.1%. PearsonTEXAS.com 629
3 Problem TEKS Process Standard (1)(A) Finding the Probability of Mutually Exclusive Events Is there a way to simplify this problem? You can model the probabilities with a simpler problem. Suppose there are 100 athletes. In the model 10 athletes will play volleyball, and 24 will be on the swim team. Athletics Student athletes at a local high school may participate in only one sport each season. What is the probability that a randomly selected student athlete plays volleyball or is on the swim team? Because athletes participate in only one sport each season, the events are mutually exclusive. Use the formula P (A or B) = P (A) + P (B). P (volleyball or swim team) = P (volleyball) + P (swim team) = 10% + 24% = 4% Substitute and simplify. The probability of a student athlete either playing volleyball or being on the swim team is 4%. KEY: Fall Season Sports 24% 28% 18% 20% 10% Basketball Volleyball Football Other Swimming Problem 4 TEKS Process Standard (1)(B) Finding Probabilities of Overlapping Events What is the probability of rolling either an even number or a multiple of when rolling a standard number cube? Why do you need to subtract the overlapping probability? If the overlapping probability is not subtracted, it is counted twice. This would introduce an error. You are rolling a standard number cube. The events are overlapping events because 6 is both even and a multiple of. You need the probability of rolling an even number and the probability of rolling a multiple of. Find the probabilities and use the formula for probabilities of overlapping events. P (even or multiple of ) = P (even) + P (multiple of )  P (even and multiple of ) = = 4 6, or 2 The probability of rolling an even number or a multiple of is Lesson 154 Compound Probability
4 ONLINE H O M E W O R K PRACTICE and APPLICATION EXERCISES Scan page for a Virtual Nerd tutorial video. Determine whether the outcomes of the two actions are independent or dependent events. For additional support when completing your homework, go to PearsonTEXAS.com. 1. You toss a coin and roll a number cube. 2. You draw a marble from a bag without looking. You do not replace it. You draw another marble from the bag.. Choose a card at random from a standard deck of cards and replace it. Then choose another card. 4. Ask a student s age and ask what year the student expects to graduate. You spin the spinner at the right and, without looking, you choose a tile from a set of tiles numbered from 1 to 10. Find each probability. 5. P (spinner lands on 2 and you choose a ) 6. P (spinner lands on an odd number and you choose an even number) 7. P (spinner lands on a number less than 4 and you choose a 9 or 10) A bag contains blue chips, 6 black chips, 2 green chips, and 4 red chips. Use this information to find each probability if a chip is selected at random. 8. P (blue chip or black chip) 9. P (green chip or red chip) 10. P (green chip or black chip) 11. P (blue, black, or red chip) A set of cards contains four suits (red, blue, green, and yellow). In each suit there are cards numbered from 1 to 10. Calculate the following probabilities for one card selected at random. 12. P (blue card or card numbered 10) 1. P (green or yellow card, or card numbered 1) 14. P (red card or card greater than 5) 15. P (red or blue card, or card less than 6) 16. Apply Mathematics (1)(A) In a litter of 8 kittens, there are 2 brown females, 1 brown male, spotted females, and 2 spotted males. If a kitten is selected at random, what is the probability that the kitten will be female or brown? 17. Analyze Mathematical Relationships (1)(F) Suppose you are taking a test and there are three multiplechoice questions that you do not know the answers to. Each has four answer choices. Rather than leave the answers blank, you decide to guess. What is the probability that you answer all three questions correctly? Explain how you know PearsonTEXAS.com 61
5 18. Use a ProblemSolving Model (1)(B) In a math class, 75% of the students have visited the ocean and 50% have visited the mountains on vacation before. If 45% of the students have visited the ocean and the mountains on vacation before, what is the probability that a randomly selected student has visited the ocean or the mountains? 19. What is the probability that a standard number cube rolled three times will roll first even, then odd, and then even? 20. Explain Mathematical Ideas (1)(G) Describe the difference between mutually exclusive and overlapping events. Give examples of each. 21. When you draw a marble out of a bag and then draw another without replacing the first, the probability of the second event is different from the probability of the first. a. What is the probability of drawing a red marble out of a bag containing red and 7 blue marbles? b. What is the probability of drawing a second red marble if a red marble is drawn the first time and not replaced? c. What is the probability of drawing two red marbles in a row? For each set of probabilities, determine if the events A and B are mutually exclusive. Explain. 22. P (A) = 1 2, P(B) = 1, P(A or B) = 2 2. P (A) = 1 6, P(B) = 8, P(A and B) = Connect Mathematical Ideas (1)(F) Are mutually exclusive events dependent or independent? Explain. TEXAS Test Practice 25. Which of the following statements is NOT true? A. The side lengths of an isosceles right triangle can be all whole numbers. B. The side lengths of a right triangle can form a Pythagorean triple. C. The side lengths of an equilateral triangle can be all whole numbers. D. The angle measures of an equilateral triangle can be all whole numbers. 26. You roll a standard number cube and then spin the spinner shown at the right. What is the probability that you will roll a 5 and spin a? 27. An arc of a circle measures 90 and is 10 cm long. How long is the circle s diameter? Lesson 154 Compound Probability
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 informationBell Work. WarmUp Exercises. Two sixsided dice are rolled. Find the probability of each sum or 7
WarmUp Exercises Two sixsided 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? WarmUp Notes Exercises
More informationTEKSING 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 informationLesson 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 informationIndependent 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 informationProbability 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 informationMathematics 3201 Test (Unit 3) Probability FORMULAES
Mathematics 3201 Test (Unit 3) robability Name: FORMULAES ( ) A B A A B A B ( A) ( B) ( A B) ( A and B) ( A) ( B) art A : lace the letter corresponding to the correct answer to each of the following in
More informationCC13. 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 information104 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 informationObjectives 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 MACCSCP 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 MACCSCP MP, MP,
More informationLesson 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 informationName 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 informationName. 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 informationName: 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 informationLesson 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 informationACTIVITY: 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 informationPROBABILITY. 1. Introduction. Candidates should able to:
PROBABILITY Candidates should able to: evaluate probabilities in simple cases by means of enumeration of equiprobable elementary events (e.g for the total score when two fair dice are thrown), or by calculation
More informationLesson 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 informationName Class Date. Introducing Probability Distributions
Name Class Date Binomial Distributions Extension: Distributions Essential question: What is a probability distribution and how is it displayed? 86 CC.9 2.S.MD.5(+) ENGAGE Introducing Distributions Video
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Statistics Homework Ch 5 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) A coin is tossed. Find the probability
More informationLesson 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 informationName Date. Probability of Disjoint and Overlapping Events For use with Exploration 12.4
12.4 Probability of Disjoint and Overlapping Events For use with Exploration 12.4 Essential Question How can you find probabilities of disjoint and overlapping events? Two events are disjoint, or mutually
More informationObjectives. 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 informationLesson 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 informationOutcomes: The outcomes of this experiment are yellow, blue, red and green.
(Adapted from http://www.mathgoodies.com/) 1. Sample Space The sample space of an experiment is the set of all possible outcomes of that experiment. The sum of the probabilities of the distinct outcomes
More informationWelcome! U4H2: Worksheet # s 27, 913, 16, 20. Updates: U4T is 12/12. Announcement: December 16 th is the last day I will accept late work.
Welcome! U4H2: Worksheet # s 27, 913, 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 informationFinding Probabilities of Independent and Dependent Events
Finding Probabilities of Independent and Dependent Events Essential Question: If you draw two cards from a standard deck of 52 cards, is the probability that the second card is red affected by the color
More informationCompound 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 information136 Probabilities of Mutually Exclusive Events
Determine whether the events are mutually exclusive or not mutually exclusive. Explain your reasoning. 1. drawing a card from a standard deck and getting a jack or a club The jack of clubs is an outcome
More informationProbability. 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 informationExam III Review Problems
c Kathryn Bollinger and Benjamin Aurispa, November 10, 2011 1 Exam III Review Problems Fall 2011 Note: Not every topic is covered in this review. Please also take a look at the previous WeekinReviews
More informationProbability 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 informationProbability 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,
More informationGrade 7/8 Math Circles February 25/26, Probability
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Probability Grade 7/8 Math Circles February 25/26, 2014 Probability Centre for Education in Mathematics and Computing Probability is the study of how likely
More informationAlgebra 2 Notes Section 10.1: Apply the Counting Principle and Permutations
Algebra 2 Notes Section 10.1: Apply the Counting Principle and Permutations Objective(s): Vocabulary: I. Fundamental Counting Principle: Two Events: Three or more Events: II. Permutation: (top of p. 684)
More informationMAT104: Fundamentals of Mathematics II Summary of Counting Techniques and Probability. Preliminary Concepts, Formulas, and Terminology
MAT104: Fundamentals of Mathematics II Summary of Counting Techniques and Probability Preliminary Concepts, Formulas, and Terminology Meanings of Basic Arithmetic Operations in Mathematics Addition: Generally
More informationCommon 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 informationUnit 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 informationMATH 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 informationMath 146 Statistics for the Health Sciences Additional Exercises on Chapter 3
Math 46 Statistics for the Health Sciences Additional Exercises on Chapter 3 Student Name: Find the indicated probability. ) If you flip a coin three times, the possible outcomes are HHH HHT HTH HTT THH
More informationLesson 1: Chance Experiments
Student Outcomes Students understand that a probability is a number between and that represents the likelihood that an event will occur. Students interpret a probability as the proportion of the time that
More informationChapter 12: Probability & Statistics. Notes #2: Simple Probability and Independent & Dependent Events and Compound Events
Chapter 12: Probability & Statistics Notes #2: Simple Probability and Independent & Dependent Events and Compound Events Theoretical & Experimental Probability 1 2 Probability: How likely an event is to
More informationFind the probability of an event by using the definition of probability
LESSON 101 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 informationEssential 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 informationBasic 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[Independent Probability, Conditional Probability, Tree Diagrams]
Name: Year 1 Review 119 Topic: Probability Day 2 Use your formula booklet! Page 5 Lesson 118: Probability Day 1 [Independent Probability, Conditional Probability, Tree Diagrams] Read and Highlight Station
More informationProbability 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 informationSection 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 informationName 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 informationProbability and Statistics
Probability and Statistics Activity: TEKS: Mystery Bags (3.13) Probability and statistics. The student solves problems by collecting, organizing, displaying, and interpreting sets of data. The student
More informationLesson 3 Dependent and Independent Events
Lesson 3 Dependent and Independent Events When working with 2 separate events, we must first consider if the first event affects the second event. Situation 1 Situation 2 Drawing two cards from a deck
More informationMaking 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 informationUnit 19 Probability Review
. What is sample space? All possible outcomes Unit 9 Probability Review 9. I can use the Fundamental Counting Principle to count the number of ways an event can happen. 2. What is the difference between
More informationProbability and the Monty Hall Problem Rong Huang January 10, 2016
Probability and the Monty Hall Problem Rong Huang January 10, 2016 Warmup: 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 information2. The figure shows the face of a spinner. The numbers are all equally likely to occur.
MYP IB Review 9 Probability Name: Date: 1. For a carnival game, a jar contains 20 blue marbles and 80 red marbles. 1. Children take turns randomly selecting a marble from the jar. If a blue marble is chosen,
More informationLesson 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 informationInstructions: Choose the best answer and shade the corresponding space on the answer sheet provide. Be sure to include your name and student numbers.
Math 3201 Unit 3 Probability Assignment 1 Unit Assignment Name: Part 1 Selected Response: Instructions: Choose the best answer and shade the corresponding space on the answer sheet provide. Be sure to
More information4.3 Finding Probability Using Sets
4.3 Finding Probability Using ets When rolling a die with sides numbered from 1 to 20, if event A is the event that a number divisible by 5 is rolled: a) What is the sample space,? b) What is the event
More informationUnit 14 Probability. Target 3 Calculate the probability of independent and dependent events (compound) AND/THEN statements
Target 1 Calculate the probability of an event Unit 14 Probability Target 2 Calculate a sample space 14.2a Tree Diagrams, Factorials, and Permutations 14.2b Combinations Target 3 Calculate the probability
More informationUnit 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.
More informationMath 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 informationCHAPTER 9  COUNTING PRINCIPLES AND PROBABILITY
CHAPTER 9  COUNTING PRINCIPLES AND PROBABILITY Probability is the Probability is used in many realworld fields, such as insurance, medical research, law enforcement, and political science. Objectives:
More information1. Theoretical probability is what should happen (based on math), while probability is what actually happens.
Name: Date: / / QUIZ DAY! FillintheBlanks: 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 informationProbability Quiz Review Sections
CP1 Math 2 Unit 9: Probability: Day 7/8 Topic Outline: Probability Quiz Review Sections 5.025.04 Name A probability cannot exceed 1. We express probability as a fraction, decimal, or percent. Probabilities
More informationIndependence Is The Word
Problem 1 Simulating Independent Events Describe two different events that are independent. Describe two different events that are not independent. The probability of obtaining a tail with a coin toss
More informationCH 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 informationPart 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 informationgreen, 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 informationQuiz 2 Review  on Notebook Paper Are You Ready For Your Last Quiz In Honors Math II??
Quiz 2 Review  on Notebook Paper Are You Ready For Your Last Quiz In Honors Math II?? Some things to Know, Memorize, AND Understand how to use are n What are the formulas? Pr ncr Fill in the notation
More informationBasic 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 informationChapter 0: Preparing for Advanced Algebra
Lesson 01: Representing Functions Date: Example 1: Locate Coordinates Name the quadrant in which the point is located. Example 2: Identify Domain and Range State the domain and range of each relation.
More informationProbability: introduction
May 6, 2009 Probability: introduction page 1 Probability: introduction Probability is the part of mathematics that deals with the chance or the likelihood that things will happen The probability of an
More informationDefine 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 informationTopic : ADDITION OF PROBABILITIES (MUTUALLY EXCLUSIVE EVENTS) TIME : 4 X 45 minutes
Worksheet 6 th Topic : ADDITION OF PROBABILITIES (MUTUALLY EXCLUSIVE EVENTS) TIME : 4 X 45 minutes STANDARD COMPETENCY : 1. To use the statistics rules, the rules of counting, and the characteristic of
More informationTheoretical 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 informationChapter 6: Probability and Simulation. The study of randomness
Chapter 6: Probability and Simulation The study of randomness Introduction Probability is the study of chance. 6.1 focuses on simulation since actual observations are often not feasible. When we produce
More informationCompound 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 informationSuch a description is the basis for a probability model. Here is the basic vocabulary we use.
5.2.1 Probability Models When we toss a coin, we can t know the outcome in advance. What do we know? We are willing to say that the outcome will be either heads or tails. We believe that each of these
More informationFSA 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 information2 Event is equally likely to occur or not occur. When all outcomes are equally likely, the theoretical probability that an event A will occur is:
10.3 TEKS a.1, a.4 Define and Use Probability Before You determined the number of ways an event could occur. Now You will find the likelihood that an event will occur. Why? So you can find reallife geometric
More informationUNIT 6: CONJECTURE AND JUSTIFICATION WEEK 24: Student Packet
Name Period Date UNIT 6: CONJECTURE AND JUSTIFICATION WEEK 24: Student Packet 24.1 The Pythagorean Theorem Explore the Pythagorean theorem numerically, algebraically, and geometrically. Understand a proof
More information7 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, x {1, 2, k}, where k > 0. (a) Write down P(X = 2). (1) (b) Show that k = 3. (4) Find E(X). (2) (Total 7 marks)
1. The probability distribution of a discrete random variable X is given by 2 x P(X = x) = 14, x {1, 2, k}, where k > 0. Write down P(X = 2). (1) Show that k = 3. Find E(X). (Total 7 marks) 2. In a game
More informationPRECALCULUS PROBABILITY UNIT Permutations and Combinations Fundamental Counting Principal A way to find the total possible something can be arranged.
PRECALCULUS PROBABILITY UNIT Permutations and Combinations Fundamental Counting Principal A way to find the total possible something can be arranged. The lunch special at the local Greasy Spoon diner
More informationProbability of Independent and Dependent Events. CCM2 Unit 6: Probability
Probability of Independent and Dependent Events CCM2 Unit 6: Probability Independent and Dependent Events Independent Events: two events are said to be independent when one event has no affect on the probability
More informationName 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 informationMath 1 Unit 4 MidUnit Review Chances of Winning
Math 1 Unit 4 MidUnit Review Chances of Winning Name My child studied for the Unit 4 MidUnit Test. I am aware that tests are worth 40% of my child s grade. Parent Signature MM1D1 a. Apply the addition
More informationInstructions: Choose the best answer and shade in the corresponding letter on the answer sheet provided. Be sure to include your name and student ID.
Math 3201 Unit 3 Probability Test 1 Unit Test Name: Part 1 Selected Response: Instructions: Choose the best answer and shade in the corresponding letter on the answer sheet provided. Be sure to include
More informationChapter 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 informationSection 6.5 Conditional Probability
Section 6.5 Conditional Probability Example 1: An urn contains 5 green marbles and 7 black marbles. Two marbles are drawn in succession and without replacement from the urn. a) What is the probability
More informationGet Ready for Chapter 12
Get Ready for Chapter Statistics and Probability Diagnose Readiness You have two options for checking Prerequisite Skills. Option 2 Option Take the Quick Quiz below. Refer to the Quick Review for help.
More information3 PROBABILITY TOPICS
Chapter 3 Probability Topics 35 3 PROBABILITY TOPICS Figure 3. Meteor showers are rare, but the probability of them occurring can be calculated. (credit: Navicore/flickr) Introduction It is often necessary
More informationName: 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 information19.3 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
More informationProbability 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 informationMath 1342 Exam 2 Review
Math 1342 Exam 2 Review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) If a sportscaster makes an educated guess as to how well a team will do this
More informationIndependent and Mutually Exclusive Events
Independent and Mutually Exclusive Events By: OpenStaxCollege Independent and mutually exclusive do not mean the same thing. Independent Events Two events are independent if the following are true: P(A
More informationTEKSING TOWARD STAAR MATHEMATICS GRADE 7. HandsonActivity. Six Weeks 3
TEKSING TOWARD STAAR MATHEMATICS GRADE 7 HandsonActivity Six Weeks 3 TEKSING TOWARD STAAR 2014 Six Weeks 3 Lesson 4 Teacher Notes for Student Activity 3 MATERIALS: Per Pair of Students: 1 bag of 4 colored
More informationCOMPOUND 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 informationCounting 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