GCSE Revision Notes Mathematics Probability


 Dina Hines
 2 years ago
 Views:
Transcription
1 GCSE Revision Notes Mathematics Probability
2 irevise.com All revision notes have been produced by mockness ltd for irevise.com. Copyrighted material. All rights reserved; no part of this publication may be reproduced, stored in a retrieval system or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, reprinting, or otherwise without either the prior written permission of irevise.com or a license permitting copying in the United Kingdom issued by the copyright licensing Agency.
3 Probability The probability of an event is always between 0 and 1. 0 meaning there is a 0% chance the event will happen and 1 meaning there is a 100% chance the event will happen. Everytime you use the word or in probability terms it means you add the probabilities For example when rolling a dice what is the probability of getting 1 or 2? We see the word or so we know that we add our two probabilities + = Everytime you use word and in probability terms it means you multiply the probabilities Rolling two die what is the probability of getting a 1 and a 2? We see the word and so we know that we multiply our probabilities The probability of an event happening is The probability of an event not happening is 1  This is because (The probability of an event happening) + (The probability of an event not happening) = 1 Because either an event occurs or it doesn t If you want to get the probability of something happening at least once we use the formula 1  (probability that nothing happens)
4 Questions 5.1 In a cafe, a customer orders one drink. The probability that he orders tea is 0.42 The probability that he orders coffee is 0.3 Work out the probability that he orders either tea or coffee or so we add the probabilities = In a game, players try to win a coloured counter. There are six possible colours. The table shows the probability of winning each colour. Colour of counter Probability Yellow 0.04 Green 0.07 Brown 0.09 Blue 0.10 Pink 0.13 Black 0.14 (i)which colour is twice as likely to be won as green? Green = = 0.14 Black = 0.14 Black is twice as likely to be won as green (ii) Work out the probability of winning yellow or brown. Probability of winning yellow or brown = 0.13 (iii) Sam plays the game 160 times. Estimate the number of times that he does not win = = 0.43 of the time he does not win = 68.8 He doesn t win approximately 69 times
5 5.3 (i) A football strip consists of a shirt, shorts and socks. Aspen United has two shirts, blue and green, from which to select. They also can select from three different colours of shorts and five different colours of socks, including red in each case. Calculate how many different strips Aspen United can have? Each team must have a shirt, a pair of shorts and a pair of socks and so we multiply 2 shirts, 3 shorts, 5 socks = 30 (ii) Willow Celtic plays in an all red strip. When Aspen United plays Willow Celtic, Aspen United are not allowed to use their red shorts or their red socks. Calculate how many different strips Aspen United can have when they play Willow Celtic. One less pair of shorts and one less pair of socks available = A fair circular spinner consists of three equal sectors. Two are coloured blue and one is coloured red. The spinner is spun and a fair coin is tossed. (i) What is the probability of the spinner landing on a blue sector? 2 in 3 chance so (ii) Find the probability of getting a head and a red. and so we multiply (iii) Find the probability of getting a tail and a blue. =
6 5.5 Ten different names are put into a computer. One of the names is John. On Monday, the computer chooses two names at random. The computer is set so that the same name can be chosen twice. Show that the probability that John is chosen at least once is John can be picked on the first go or on the second go or twice John is picked on the first go and a different name is picked on the second go John is picked on the second go and a different name is picked on the first go John is picked both times + + = (ii) On Tuesday, the computer chooses two names at random. The computer is set so that the same name cannot be chosen twice. Work out the probability that John is chosen now John is picked on the first go and any name can then be picked or John is picked on the second go and a different name is picked first John is picked on the first go John is picked on the second go =
7 + = = 5.6 A bag contains only red counters and blue counters. There are 6 more red than blue. A counter is chosen at random from the bag. The probability it is blue is How many red counters are in the bag? x = number of blue counters x + 6 = number of red counters The probability a counter is blue is The bag contains 4x counters 4x  x = 3x red counters 3x = x + 6 2x = 6 x = 3 Number of red counters = x + 6 = A bag only contains black counters and white counters. A counter is chosen from the bag at random and replaced. Another counter is then chosen from the bag at random. The probability of choosing two black counters is 0.36 (i) Show that the probability of choosing a black counter each time is 0.6 The probability of choosing a black counter and another black counter = 0.36 Prob of black counter Prob of black counter = 0.36 Prob of black counter = 0.36 = 0.6 (ii) Work out the probability of choosing two white counters The probability of choosing a black counter = = 0.4 The probability of choosing a white counter and another white counter = 0.16 (iii) Work out the probability of choosing at least one white counter.
8 1  (probability of choosing 2 black counters) = 0.64
GCSE Revision Notes Mathematics Quadratic Formula
GCSE Revision Notes Mathematics Quadratic Formula irevise.com 2014. All revision notes have been produced by mockness ltd for irevise.com. Email: info@irevise.com Copyrighted material. All rights reserved;
More informationPROBABILITY. Thabisa Tikolo STATISTICS SOUTH AFRICA
PROBABILITY Thabisa Tikolo STATISTICS SOUTH AFRICA Probability is a topic that some educators tend to struggle with and thus avoid teaching it to learners. This is an indication that teachers are not yet
More informationConducting Probability Experiments
CHAPTE Conducting Probability Experiments oal Compare probabilities in two experiments. ame. Place a shuffled deck of cards face down.. Turn over the top card.. If the card is an ace, you get points. A
More informationGCSE Revision Notes Mathematics. Volume and Cylinders
GCSE Revision Notes Mathematics Volume and Cylinders irevise.com 2014. All revision notes have been produced by mockness ltd for irevise.com. Email: info@irevise.com Copyrighted material. All rights reserved;
More informationCalculate the mode, median and range for a set of data Decide which average best represents the set of data
5. The mode, median and range Calculate the mode, median and range for a set of data Decide which average best represents the set of data Key words average data mode median range An average gives information
More informationExam Style Questions. Revision for this topic. Name: Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser
Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Read each question carefully before you begin answering
More informationEDEXCEL FUNCTIONAL SKILLS PILOT
EEXEL FUNTIONAL SKILLS PILOT Maths Level hapter 7 Working with probability SETION K Measuring probability 9 Remember what you have learned 3 raft for Pilot Functional Maths Level hapter 7 Pearson Education
More informationA collection of 91 Maths GCSE Sample and Specimen questions from AQA, OCR, PearsonEdexcel and WJEC Eduqas. Name: Total Marks:
Probability 2 (H) A collection of 91 Maths GCSE Sample and Specimen questions from AQA, OCR, PearsonEdexcel and WJEC Eduqas. Name: Total Marks: 1. Andy sometimes gets a lift to and from college. When
More informationContemporary Mathematics MAT 130. Probability. a) What is the probability of obtaining a number less than 4?
Contemporary Mathematics MAT 30 Solve the following problems:. A fair die is tossed. What is the probability of obtaining a number less than 4? What is the probability of obtaining a number less than
More informationProbability. Experiment  any happening for which the result is uncertain. Outcome the possible result of the experiment
Probability Definitions: Experiment  any happening for which the result is uncertain Outcome the possible result of the experiment Sample space the set of all possible outcomes of the experiment Event
More informationPROBABILITY AND RELATIVE FREQUENCY
Edexcel GCSE Mathematics (Linear) 1MA0 PROBABILITY AND RELATIVE FREQUENCY Materials required for examination Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser.
More informationGCSE Revision Notes Mathematics Number s and Algebra
GCSE Revision Notes Mathematics Number s and Algebra irevise.com 2014. All revision notes have been produced by mockness ltd for irevise.com. Email: info@irevise.com Copyrighted material. All rights reserved;
More informationProbability of Compound Events
1. A jar contains 3 red marbles and 2 black marbles. All the marbles are the same size and there are no other marbles in the jar. On the first selection, a marble is chosen at random and not replaced.
More informationChapter 15. Definitions: experiment: is the act of making an observation or taking a measurement.
MATH 11008: Probability Chapter 15 Definitions: experiment: is the act of making an observation or taking a measurement. outcome: one of the possible things that can occur as a result of an experiment.
More informationLesson 5: Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities Bellringer
Lesson 5: Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities Bellringer Use the following information below to answer the two following questions: Students are playing a game
More informationGrade 7/8 Math Circles Fall 2012 Probability
1 University of Waterloo Faculty of Mathematics Centre for Education in Mathematics and Computing Grade 7/8 Math Circles Fall 2012 Probability Probability is one of the most prominent uses of mathematics
More informationPROBABILITY. SIMPLE PROBABILITY is the likelihood that a specific event will occur, represented by a number between 0 and 1.
PROBABILITY SIMPLE PROBABILITY SIMPLE PROBABILITY is the likelihood that a specific event will occur, represented by a number between 0 and. There are two categories of simple probabilities. THEORETICAL
More informationProbability (Day 1 and 2) Blue Problems. Independent Events
Probability (Day 1 and ) Blue Problems Independent Events 1. There are blue chips and yellow chips in a bag. One chip is drawn from the bag. The chip is placed back into the bag. A second chips is then
More informationExplore It! Find a Sample Space. Activity 1. Name Class Date. Sample Spaces
Name Class Date Explore It! Sample Spaces Find a Sample Space The set of all possible outcomes of a probability experiment is called the sample space. The sample space may be quite small, as it is when
More informationRELATIONS AND FUNCTIONS
008 RELATIONS AND FUNCTIONS Concept 9: Graphs of some functions Graphs of constant function: Let k be a fixed real number. Then a function f(x) given by f ( x) = k for all x R is called a constant function.
More information33 Probability: Some Basic Terms
33 Probability: Some Basic Terms In this and the coming sections we discuss the fundamental concepts of probability at a level at which no previous exposure to the topic is assumed. Probability has been
More information36 Odds, Expected Value, and Conditional Probability
36 Odds, Expected Value, and Conditional Probability What s the difference between probabilities and odds? To answer this question, let s consider a game that involves rolling a die. If one gets the face
More informationG 1. Chance and probability probability scale. Probability measures how likely something is to happen. impossible even certain
Chance and probability probability scale Probability measures how likely something is to happen. impossible even certain 0 7 8 9 0 0. 0. 0. 0. 0. 0. 0.7 0.8 0.9 unlikely likely Probability measures how
More informationHey, That s Not Fair! (Or is it?)
Concept Probability and statistics Number sense Activity 9 Hey, That s Not Fair! (Or is it?) Students will use the calculator to simulate dice rolls to play two different games. They will decide if the
More informationIf a tennis player was selected at random from the group, find the probability that the player is
Basic Probability. The table below shows the number of left and right handed tennis players in a sample of 0 males and females. Left handed Right handed Total Male 3 29 32 Female 2 6 8 Total 4 0 If a tennis
More informationLesson 1. Basics of Probability. Principles of Mathematics 12: Explained! www.math12.com 314
Lesson 1 Basics of Probability www.math12.com 314 Sample Spaces: Probability Lesson 1 Part I: Basic Elements of Probability Consider the following situation: A six sided die is rolled The sample space
More informationExample: Use the Counting Principle to find the number of possible outcomes of these two experiments done in this specific order:
Section 4.3: Tree Diagrams and the Counting Principle It is often necessary to know the total number of outcomes in a probability experiment. The Counting Principle is a formula that allows us to determine
More informationMost of us would probably believe they are the same, it would not make a difference. But, in fact, they are different. Let s see how.
PROBABILITY If someone told you the odds of an event A occurring are 3 to 5 and the probability of another event B occurring was 3/5, which do you think is a better bet? Most of us would probably believe
More informationMAT 1000. Mathematics in Today's World
MAT 1000 Mathematics in Today's World We talked about Cryptography Last Time We will talk about probability. Today There are four rules that govern probabilities. One good way to analyze simple probabilities
More informationProbability QUESTIONS Principles of Math 12  Probability Practice Exam 1 www.math12.com
Probability QUESTIONS Principles of Math  Probability Practice Exam www.math.com Principles of Math : Probability Practice Exam Use this sheet to record your answers:... 4... 4... 4.. 6. 4.. 6. 7..
More informationPossible Outcomes. red. green
. 7.10A STUDENT ACTIVITY #1 Problem #1: Bianca is conducting an experiment that involves removing color tiles from a bag containing these color tiles: 3 red, 2 green, and 1 yellow. What are all the possible
More informationSTRAND D: PROBABILITY. UNIT D2 Probability of Two or More Events: Text. Contents. Section. D2.1 Outcome of Two Events. D2.2 Probability of Two Events
PRIMARY Mathematics SKE: STRAND D STRAND D: PROAILITY D2 Probability of Two or More Events * Text Contents * * * Section D2. Outcome of Two Events D2.2 Probability of Two Events D2. Use of Tree Diagrams
More informationTopic : Tree Diagrams 5Pack A  Worksheet Choose between 2 brands of jeans: Levi s and Allen Cooper.
Topic : Tree Diagrams 5Pack A  Worksheet 1 1. Three colors of balls that are In red, green and blue color are rolled simultaneously. a black color blazer of medium size among brown and black blazer
More informationUnit 1: Probability. Experimental Probability:  probability that came from a simulation such as tossing dice, coins etc.
pplied Math 0 Unit : Probability Unit : Probability.: Experimental and Theoretical Probability Experimental Probability:  probability that came from a simulation such as tossing dice, coins etc. inomial
More informationTopic : Probability of a Complement of an Event Worksheet 1. Do the following:
Topic : Probability of a Complement of an Event Worksheet 1 1. You roll a die. What is the probability that 2 will not appear 2. Two 6sided dice are rolled. What is the 3. Ray and Shan are playing football.
More informationEDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES. Maths Level 1. Chapter 7. Working with probability
EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES Maths Level 1 Chapter 7 Working with probability SECTION K 1 Measuring probability 2 Remember what you have learned Pearson Education 2008 Functional Maths
More information7.5: Conditional Probability
7.5: Conditional Probability Example 1: A survey is done of people making purchases at a gas station: buy drink (D) no drink (Dc) Total Buy drink(d) No drink(d c ) Total Buy Gas (G) 20 15 35 No Gas (G
More informationPROBABILITY POSSIBLE OUTCOMES. (likelihood) (coins, counters, #cubes, spinners)
PROBABILITY POSSIBLE OUTCOMES (likelihood) (coins, counters, #cubes, spinners) Standard: 3.D.4.2 Predict the outcomes of simple experiments (e.g., coin tossing) and test the predictions using concrete
More informationProbability Lesson #2
Probability Lesson #2 Sample Space A sample space is the set of all possible outcomes of an experiment. There are a variety of ways of representing or illustrating sample spaces. Listing Outcomes List
More informationFormula for Theoretical Probability
Notes Name: Date: Period: Probability I. Probability A. Vocabulary is the chance/ likelihood of some event occurring. Ex) The probability of rolling a for a sixfaced die is 6. It is read as in 6 or out
More informationTCM040 MSOM NEW:TCM040 MSOM 01/07/2009 12:13 Page 1. A book of games to play with children
TCM040 MSOM NEW:TCM040 MSOM 01/07/2009 12:13 Page 1 A book of games to play with children TCM040 MSOM NEW:TCM040 MSOM 01/07/2009 12:13 Page 2 Contents About this book 3 Find the hidden money 4 Money box
More information4.5 Finding Probability Using Tree Diagrams and Outcome Tables
4.5 Finding Probability Using ree Diagrams and Outcome ables Games of chance often involve combinations of random events. hese might involve drawing one or more cards from a deck, rolling two dice, or
More informationMathematical goals. Starting points. Materials required. Time needed
Level S2 of challenge: B/C S2 Mathematical goals Starting points Materials required Time needed Evaluating probability statements To help learners to: discuss and clarify some common misconceptions about
More informationBetting systems: how not to lose your money gambling
Betting systems: how not to lose your money gambling G. Berkolaiko Department of Mathematics Texas A&M University 28 April 2007 / Mini Fair, Math Awareness Month 2007 Gambling and Games of Chance Simple
More informationA Simple Example. Sample Space and Event. Tree Diagram. Tree Diagram. Probability. Probability  1. Probability and Counting Rules
Probability and Counting Rules researcher claims that 10% of a large population have disease H. random sample of 100 people is taken from this population and examined. If 20 people in this random sample
More informationChapter 16: law of averages
Chapter 16: law of averages Context................................................................... 2 Law of averages 3 Coin tossing experiment......................................................
More informationProbability, statistics and football Franka Miriam Bru ckler Paris, 2015.
Probability, statistics and football Franka Miriam Bru ckler Paris, 2015 Please read this before starting! Although each activity can be performed by one person only, it is suggested that you work in groups
More informationApril 02, Bell Work: OAA Probability #2. 2. Vocabulary: Ch Notes/Examples: Ch HW: WS Practice B 10.5
1. Bell Work: OAA Probability #2 2. Vocabulary: Ch. 10.5 3. Notes/Examples: Ch. 10.5 4. HW: WS Practice B 10.5 Learn to find the probabilities of independent and dependent events. Vocabulary compound
More informationMA 1125 Lecture 14  Expected Values. Friday, February 28, 2014. Objectives: Introduce expected values.
MA 5 Lecture 4  Expected Values Friday, February 2, 24. Objectives: Introduce expected values.. Means, Variances, and Standard Deviations of Probability Distributions Two classes ago, we computed the
More informationChapter 9 Section 1 Probability
Name Guided Notes Chapter 9 Chapter 9 Section 1 Probability Outcome: the of an action Event: a collection of outcomes Theoretical Probability: when all outcomes are likely P(event) = number of favorable
More informationProbability and Statistics
Probability and Statistics Activity: TEKS: (8.11) Probability and statistics. The student applies concepts of theoretical and experimental probability to make predictions. The student is expected to: (C)
More informationHANDLING DATA. Use the vocabulary of probability
HANDLING DATA Pupils should be taught to: Use the vocabulary of probability As outcomes, Year 7 pupils should, for example: Use, read and write, spelling correctly: fair, unfair, likely, unlikely, equally
More informationThat s Not Fair! ASSESSMENT #HSMA20. Benchmark Grades: 912
That s Not Fair! ASSESSMENT # Benchmark Grades: 912 Summary: Students consider the difference between fair and unfair games, using probability to analyze games. The probability will be used to find ways
More information1. A single die numbered 1 to 4 is rolled and a single coin is tossed. Draw a tree diagram to represent the possible outcomes.
Topic : Tree Diagrams 5Pack B Worksheet 1 1. A single die numbered 1 to 4 is rolled and a single coin is tossed. Draw pennies. 3. Three colored cars (red, blue and white) are driven simultaneously.
More informationSection 7C: The Law of Large Numbers
Section 7C: The Law of Large Numbers Example. You flip a coin 00 times. Suppose the coin is fair. How many times would you expect to get heads? tails? One would expect a fair coin to come up heads half
More informationEssentials. Week by. Week. Fraction Action. Probability Pizzazz
Week by Week MATHEMATICS Essentials Grade Draw a diagram to show that the fraction is the same as the fraction. Matt packed four pairs of slacks (blue, black, tan, and grey) and three shirts (white, yellow,
More informationFind the indicated probability. 1) If a single fair die is rolled, find the probability of a 4 given that the number rolled is odd.
Math 0 Practice Test 3 Fall 2009 Covers 7.5, 8.8.3 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated probability. ) If a single
More informationMassachusetts Institute of Technology
n (i) m m (ii) n m ( (iii) n n n n (iv) m m Massachusetts Institute of Technology 6.0/6.: Probabilistic Systems Analysis (Quiz Solutions Spring 009) Question Multiple Choice Questions: CLEARLY circle the
More informationGames ~ 1. Triangle Sum. Poly Pick. In & Out. Skittles. Cover Up. Home Run. Cross Nim. To and Fro. Thirty one. Put Down. One or Two.
Games ~ 1 List of Contents Triangle Sum Poly Pick In & Out Skittles Cover Up Home Run Cross Nim To and Fro Thirty one Put Down One or Two Triangle Sum Players take turns moving a single marker or counter
More informationMATH 105: Finite Mathematics 71: Sample Spaces and Assignment of Probability
MATH 105: Finite Mathematics 71: Sample Spaces and Assignment of Probability Prof. Jonathan Duncan Walla Walla College Winter Quarter, 2006 Outline 1 Probability 2 Sample Spaces 3 Assigning Probability
More informationGrade 5 supplement. Set E2 Data Anlaysis: Fundamental Counting Principle. Includes. Skills & Concepts
Grade 5 supplement Set E2 Data Anlaysis: Fundamental Counting Principle Includes Activity 1: Counting the Possible Outcomes A1.1 Independent Worksheet 1: Charlie s Marbles A1.9 Independent Worksheet 2:
More informationGCSE Exam Questions on Higher Probability. Probability Tree (Grade A) 1. Amy is going to play one game of snooker and one game of billiards.
GCSE Exam Questions on Higher Probability Probability Tree (Grade A) 1. Amy is going to play one game of snooker and one game of billiards. 3 The probability that she will win the game of snooker is 4
More information23.1 You can work out the probability of events happening
PROBABILITY. You can work out the probability of events happening Key Points The probability that an event will happen is a number in the range from 0 (impossible) to (certain). Outcomes are mutually exclusive
More informationBasic concepts in probability. Sue Gordon
Mathematics Learning Centre Basic concepts in probability Sue Gordon c 2005 University of Sydney Mathematics Learning Centre, University of Sydney 1 1 Set Notation You may omit this section if you are
More informationProbability and Statistics is one of the strands tested on the California Standards Test.
Grades 34 Probability and Statistics is one of the strands tested on the California Standards Test. Probability is introduced in 3 rd grade. Many students do not work on probability concepts in 5 th grade.
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) A science instructor assigns a group of students to investigate the
More informationTasks to Move Students On
Maths for Learning Inclusion Tasks to Move Students On Part 1 Maths for Learning Inclusion (M4LI) Tasks to Move Students On Numbers 1 10 Structuring Number Maths for Learning Inclusion (M4LI) Tasks to
More informationPractice Ace Problems
Unit 6: Moving Straight Ahead Investigation 3: Making Decisions with Probability Practice Ace Problems Directions: Please complete the necessary problems to earn a maximum of 6 points according to the
More informationName Date. Sample Spaces and Probability For use with Exploration 10.1
0. Sample Spaces and Probability For use with Exploration 0. 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
More informationProbabilities of Compound Events
0 LESSON Probabilities of Compound Events UNDERSTAND Sometimes, you may want to find the probability that two or more events will occur at the same time. This is called finding the probability of a compound
More informationMath Board Games. For School or Home Education. by Teresa Evans. Copyright 2005 Teresa Evans. All rights reserved.
Math Board Games For School or Home Education by Teresa Evans Copyright 2005 Teresa Evans. All rights reserved. Permission is given for the making of copies for use in the home or classroom of the purchaser
More informationOdds: Odds compares the number of favorable outcomes to the number of unfavorable outcomes.
MATH 11008: Odds and Expected Value Odds: Odds compares the number of favorable outcomes to the number of unfavorable outcomes. Suppose all outcomes in a sample space are equally likely where a of them
More informationPaper 2. Calculator allowed. Mathematics KEY STAGE LEVEL. First name. Middle name. Last name. Date of birth Day Month Year. School name.
Ma KEY STAGE 2 Mathematics LEVEL 6 2015 Paper 2 Calculator allowed First name Middle name Last name Date of birth Day Month Year School name DfE number D00140A0116 [BLANK PAGE] Please do not write on this
More informationExample: If we roll a dice and flip a coin, how many outcomes are possible?
12.5 Tree Diagrams Sample space Sample point Counting principle Example: If we roll a dice and flip a coin, how many outcomes are possible? TREE DIAGRAM EXAMPLE: Use a tree diagram to show all the possible
More informationInterlude: Practice Midterm 1
CONDITIONAL PROBABILITY AND INDEPENDENCE 38 Interlude: Practice Midterm 1 This practice exam covers the material from the first four chapters Give yourself 50 minutes to solve the four problems, which
More informationPROBABILITY NOTIONS. Summary. 1. Random experiment
PROBABILITY NOTIONS Summary 1. Random experiment... 1 2. Sample space... 2 3. Event... 2 4. Probability calculation... 3 4.1. Fundamental sample space... 3 4.2. Calculation of probability... 3 4.3. Non
More informationLesson #20 Probability
Math Buddies Grade 5 201 Lesson #20 Probability Goals: Record data from experiments and determine the probability that an event will happen. Read questions and determine if probability is needed to solve
More informationLast Snowman Standing Sum of 2 Dice. Last Snowman Standing Game 1
Sum of 2 Dice 2 3 4 5 6 7 8 9 10 11 12 Last Snowman Standing Game 1 tkawas@mathwire.com Difference of 2 Dice 0 1 2 3 4 5 Last Snowman Standing Game 2 tkawas@mathwire.com One Die Toss 1 2 3 4 5 6 Last Snowman
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 informationMathematics A Probability Tree
Write your name here Surname Other names In the style of: Edexcel GCSE Centre Number Mathematics A Probability Tree Past Paper Style Questions Arranged by Topic Candidate Number Higher Tier Paper Reference
More informationDoes OneandOne Make Two?
Does OneandOne Make Two? Purpose: Participants will determine the probability of simple events. Overview: In small groups, participants will explore both experimentally and theoretically the probability
More informationThe Monty Hall Problem
Gateway to Exploring Mathematical Sciences (GEMS) 9 November, 2013 Lecture Notes The Monty Hall Problem Mark Huber Fletcher Jones Foundation Associate Professor of Mathematics and Statistics and George
More informationSTAAR Category 1 Grade 7 Mathematics TEKS 7.6A/7.6E. Student Activity 1
Student Activity 1 Work with your partner to answer the following problems. Problem 1: Bianca is conducting an experiment that involves removing color tiles from a bag containing these color tiles: 3 red,
More informationPROBABILITY. Chapter Overview Conditional Probability
PROBABILITY Chapter. Overview.. Conditional Probability If E and F are two events associated with the same sample space of a random experiment, then the conditional probability of the event E under the
More informationnumber of equally likely " desired " outcomes numberof " successes " OR
Math 107 Probability and Experiments Events or Outcomes in a Sample Space: Probability: Notation: P(event occurring) = numberof waystheevent canoccur total number of equally likely outcomes number of equally
More informationMath 3C Homework 3 Solutions
Math 3C Homework 3 s Ilhwan Jo and Akemi Kashiwada ilhwanjo@math.ucla.edu, akashiwada@ucla.edu Assignment: Section 2.3 Problems 2, 7, 8, 9,, 3, 5, 8, 2, 22, 29, 3, 32 2. You draw three cards from a standard
More informationMathematical Expectation
Mathematical Expectation Properties of Mathematical Expectation I The concept of mathematical expectation arose in connection with games of chance. In its simplest form, mathematical expectation is the
More informationUse a probability line to compare the probability of events. E I will brush my teeth before going to bed tonight. Answers will vary.
Probability Lines Use a probability line to compare the probability of events.. Use words to describe the probability of each event. A I will eat soup for lunch tomorrow. B I will stay up until midnight
More informationBasic Probability. Probability: The part of Mathematics devoted to quantify uncertainty
AMS 5 PROBABILITY Basic Probability Probability: The part of Mathematics devoted to quantify uncertainty Frequency Theory Bayesian Theory Game: Playing Backgammon. The chance of getting (6,6) is 1/36.
More informationExpected Value and the Game of Craps
Expected Value and the Game of Craps Blake Thornton Craps is a gambling game found in most casinos based on rolling two six sided dice. Most players who walk into a casino and try to play craps for the
More informationAMS 5 CHANCE VARIABILITY
AMS 5 CHANCE VARIABILITY The Law of Averages When tossing a fair coin the chances of tails and heads are the same: 50% and 50%. So if the coin is tossed a large number of times, the number of heads and
More informationRevision Grids Level 5
Revision Grids Level 5 How well you remember something vs How well you remember something Revision Revision Time Time No Revision With Revision By Great Maths Teaching Ideas Revision Grids Level 5 Welcome
More informationDistributions. and Probability. Find the sample space of an experiment. Find the probability of an event. Sample Space of an Experiment
C Probability and Probability Distributions APPENDIX C.1 Probability A1 C.1 Probability Find the sample space of an experiment. Find the probability of an event. Sample Space of an Experiment When assigning
More informationhttps://assessment.casa.uh.edu/assessment/printtest.htm PRINTABLE VERSION Quiz 10
1 of 8 4/9/2013 8:17 AM PRINTABLE VERSION Quiz 10 Question 1 Let A and B be events in a sample space S such that P(A) = 0.34, P(B) = 0.39 and P(A B) = 0.19. Find P(A B). a) 0.4872 b) 0.5588 c) 0.0256 d)
More information2. How many ways can the letters in PHOENIX be rearranged? 7! = 5,040 ways.
Math 142 September 27, 2011 1. How many ways can 9 people be arranged in order? 9! = 362,880 ways 2. How many ways can the letters in PHOENIX be rearranged? 7! = 5,040 ways. 3. The letters in MATH are
More informationAP Stats  Probability Review
AP Stats  Probability Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. I toss a penny and observe whether it lands heads up or tails up. Suppose
More informationMice for 2 players. Maths of the Month That meant she won the game. How to play. counters in two colours two 1 6 dice
counters in two colours two dice Mice for players 7 How to play When it s your turn Roll both dice and say the numbers. You can choose to: add those numbers or multiply them or find the difference between
More informationAnalyzing Games of Chance
CONCEPT DEVELOPMENT Mathematics Assessment Project CLASSROOM CHALLENGES A Formative Assessment Lesson Analyzing Games of Chance Mathematics Assessment Resource Service University of Nottingham & UC Berkeley
More informationThe Casino Lab STATION 1: CRAPS
The Casino Lab Casinos rely on the laws of probability and expected values of random variables to guarantee them profits on a daily basis. Some individuals will walk away very wealthy, while others will
More information