The following may be of use in this test: 5! = Two rows of Pascal s triangle are:
|
|
- Sydney Garrison
- 5 years ago
- Views:
Transcription
1 Topi 8: Proaility Pratie S Short answer tehnology- free The following may e of use in this test: 5! = Two rows of Pasal s triangle are: Name: ontainer holds 20 irular piees eah of the same size. Written on eah is a different numer, one of the integers from 1 to 20. One of the piees of paper is seleted at random. alulate the proaility the numer on the seleted pi is: a not a multiple of 3 is a prime numer is either a numer greater than 15 or smaller than 8 d is a prime numer given it is a numer greater than 15 e is even and a multiple of 3 2 For events and, Pr( ) = 0.25, Pr( ) = 0.32 and Pr( Ç ) = a Show the given proailities on a proaility tale (Karnaugh map) and omplete the entries in the tale. alulate: i Pr( È ) ii Pr( ) John Wiley Sons ustralia, Ltd 1
2 3 1 1 For two events and, Pr( ) = and Pr( ) =. 4 2 a If and are mutually exlusive events, alulate Pr( È ). If and are independent events alulate Pr( È ). If Ì alulate Pr( È ). 4 group of 3 oys and 4 girls are arranged in a row. a What is the total numer of possile arrangements? In how many of the arrangements are the 3 oys together? What is the proaility that the girls and oys are in alternate positions? 5 a How many distint arrangements of the letters of the word TOMTO are possile if the letters are arranged: i in a row John Wiley Sons ustralia, Ltd 2
3 ii in a irle? alulate the proaility that the two letters T are together when the letters of the word TOMTO are arranged in a row. 6 In how many ways an a ommittee of 3 people e hosen from a group of 2 men and 4 women a without restrition with at least one man on the ommittee? Jane is one of the 4 women. alulate the proaility that Jane is seleted for the ommittee. Multiple hoie 1 The Venn diagram shows the results of a survey of 100 people who dislosed whether they added yoghurt (Y) or milk (M) to their reakfast granola. What is the proaility that a randomly hosen person from this group did not add yogurt to their granola? ag ontains 8 green alls and 7 yellow alls. Two alls are drawn without replaement. The proaility that oth are green is:!" "# '(!! ( John Wiley Sons ustralia, Ltd 3
4 3 n uniased oin is tossed three times. The proaility of at least one Head is: " " ( ) 4 In a kithen drawer there are 10 size atteries and 8 size atteries. Four of the atteries do not work and three of the atteries do not work. One attery is hosen at random from the drawer. The proaility the hosen attery is size and works is: ' ) 5 Given Pr( ) = 0.3, Pr( ') = 0.6 and Pr( ) = 0.1, Pr( ) equals: " (! ( " (#!# 6 swimmer ompetes in two events in whih the hanes of her winning are 0.6 and 0.3 respetively. The proaility she wins exatly one of the events is: Numers are formed using the digits 9,8,7 and 6 without repetition. How many numers greater than 800 is it possile to form? There are 8 fition ooks and 12 non-fition ooks on a shelf. If 4 ooks are hosen at random, then the proaility of otaining an equal numer of fition and non-fition ooks is: "' '! *( (( "# ((!#( (( '' ' John Wiley Sons ustralia, Ltd 4
5 9 multiple hoie test has 10 questions, eah with 5 possile answers. student who has not prepared for the test guesses the answers to eah question. The proaility that the student gets either 4 or 5 orret answers is given y: (0.2) (0.8) + (0.2) (0.8) (0.8) (0.2) + 5(0.8) (0.2) (0.2) + 5(0.2) (0.8) + 5(0.8) (0.2) (0.8) + (0.2) (0.8) 10 In the expansion of 20 ( p+ q), the numer of terms and the term ontaining terms, ( 12 ) pq 20 terms, ( 20 ) pq 21terms, ( 20 ) pq 21terms, ( 20 ) pq 19 terms, ( 20 ) pq 8 p are, respetively: xtended response 1 Two friends, Jude and Lee, regularly play Srale and adminton with eah other. It is estimated that in the long run Jude wins 70 of the games of Srale and 50 of the games of adminton. a On a day when Jude and Lee play Srale in the morning and adminton in the afternoon, alulate the proaility that: i Jude wins oth games ii Jude loses oth games iii Lee wins one of the games ut not oth. In the evening Jude deides to arry out a simulation of the situation using a random numer tale and a oin as follows: The digits 0,1, 2 are assoiated with Lee winning Srale and the digits 3, 4,5, 6, 7,8,9 are assoiated with Jude winning Srale. Head on the oin is assoiated with Jude winning adminton and a Tail with Lee winning adminton. xplain why this is an appropriate model for the results of the two games. The results of 20 trials are 2H 4H 2T 6T 4T 6T 6T 5H 0H 7H shown. 1H 4H 3T 3T 9H 3T 5T 5H 8T 6T John Wiley Sons ustralia, Ltd 5
6 What does the first result 2H mean in the ontext of the simulation? d Use the simulation results to estimate the proaility that: i Jude wins Srale ii Jude wins adminton iii Jude wins oth games. 2 Two six sided die, one white and the other lak, are rolled onto a tale and the numer uppermost on eah die is reorded. a isplay the sample spae on a lattie diagram. Let e the event of otaining a larger numer on the white die. Find Pr( ). Let e the event that the sum of the uppermost numers on the two die does not exeed 8. What is Pr( )? d Let e the event that oth of the uppermost numers are odd numers. State Pr( ). John Wiley Sons ustralia, Ltd 6
7 e alulate the following. i Pr( Ç Ç ) ii Pr( È ') iii Pr( Ç ) f etermine whether the events and are independent and give a mathematial explanation to justify your answer. 3 Howard an travel to work either y riding his ike or y athing the us. If the weather is foreast as wet, there is a 60 hane that he will drive his ar. However, if the weather is foreast as fine, there is an 80 hane that he will ride his ike. The weather ureau foreasts that the hane of Monday eing wet is 0.4. a onstrut a proaility tree diagram to show the given information and define the symols used. alulate the proaility that Monday is fine and Howard drives his ar to work. (3 marks) John Wiley Sons ustralia, Ltd 7
8 What is the proaility that Howard rides his ike to work on Monday? d Given that Howard rode his ike to work, what is the proaility that Monday was fine? e The weather ureau s reords show that if one day is wet there is a 0.2 hane the next day will e wet; however, if one day is fine, there is a 0.7 hane that the next day will e fine. On Monday, the weather is fine. alulate the proaility that the Wednesday of the same week will also e fine. 4 loal shire ounil has sumissions for 10 new housing developments and 4 new road developments. udget restritions will only allow the ounil to approve 6 of the projet sumissions. a How many different seletions of the 6 projets are possile? alulate the proaility that the 6 projets are for 4 new housing developments and 2 new roads. What is the proaility that at least 2 of the new road developments are approved? (3 marks) d The ounil omes to the deision to approve 4 new housing developments, H1, H2, H3, H, and 2 4 new road developments, R 1 and R. It must then onsider how to shedule the order in whih these 2 developments will e undertaken, one after the other. i In how many different ways an the ounil order the sheduling of these projets? ii What is the proaility that the two road projets R 1 and R are not sheduled with one 2 immediately after the other? (3 marks) John Wiley Sons ustralia, Ltd 8
Red Green Green. a What is the probability that the counter is red?
Camridge Essentials Mathematis Core 8 S End-of-unit Test S End-of-unit Test There are three ounters in a ag. Red Green Green One ounter is piked at random. a What is the proaility that the ounter is red?
More informationSample Space (S): the set of all possible outcomes. Event (E): Intersection ( E F) Union ( E F)
1. When was the first reorded die-shaped objet used? (a 3500 BC (b 1600 BC ( 2 BC (d 1492 AD (e 1904 AD 2. What was it made of? (a stone (b lay ( kryptonite (d bone (e lutefisk 3. How many sides did it
More informationMultiplication and Division
Series E Teaher Multipliation and Division Series E Multipliation and Division Contents Student ook answers 1 Assessment 10 Student progress reord 18 Assessment answers 19 Ojetives 21 Series Author: Niola
More informationName: Class: Date: Probability/Counting Multiple Choice Pre-Test
Name: _ lass: _ ate: Probability/ounting Multiple hoice Pre-Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1 The dartboard has 8 sections of equal area.
More informationProbability and Statistics P(A) Mathletics Instant Workbooks. Copyright
Proility nd Sttistis Student Book - Series K- P(A) Mthletis Instnt Workooks Copyright Student Book - Series K Contents Topis Topi - Review of simple proility Topi - Tree digrms Topi - Proility trees Topi
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 information1 a 7 b 21 c 6 m d blue e car
Cambridge Essentials Mathematis Core 7 S1.1 Answers S1.1 Answers 1 a 7 b 21 6 m d blue e ar 2 a 2 b 0 3 a 120 b Pizza 4 a Table 1 Number of people in vehile 1 2 3 4 More than 4 Number of vehiles 12 28
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 informationFIFTY-SIXTH ANNUAL MICHIGAN MATHEMATICS PRIZE COMPETITION
FIFTY-SIXTH ANNUAL MICHIGAN MATHEMATICS PRIZE COMPETITION sponsored by The Mihigan Setion of the Mathematial Assoiation of Ameria Part I Tuesday Otober 2, 202 INSTRUCTIONS (to be read aloud to the students
More informationReview Questions on Ch4 and Ch5
Review Questions on Ch4 and Ch5 1. Find the mean of the distribution shown. x 1 2 P(x) 0.40 0.60 A) 1.60 B) 0.87 C) 1.33 D) 1.09 2. A married couple has three children, find the probability they are all
More informationWindchimes, Hexagons, and Algebra
University of Nebraska - Linoln DigitalCommons@University of Nebraska - Linoln ADAPT Lessons: Mathematis Lesson Plans from the ADAPT Program 1996 Windhimes, Hexagons, and Algebra Melvin C. Thornton University
More informationHonors Precalculus Chapter 9 Summary Basic Combinatorics
Honors Precalculus Chapter 9 Summary Basic Combinatorics A. Factorial: n! means 0! = Why? B. Counting principle: 1. How many different ways can a license plate be formed a) if 7 letters are used and each
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 informationS = {(1, 1), (1, 2),, (6, 6)}
Part, MULTIPLE CHOICE, 5 Points Each An experiment consists of rolling a pair of dice and observing the uppermost faces. The sample space for this experiment consists of 6 outcomes listed as pairs of numbers:
More informationShuli s Math Problem Solving Column
Shuli s Math Problem Solving Column Volume 1, Issue 18 April 16, 009 Edited and Authored by Shuli Song Colorado Springs, Colorado shuli_song@yahooom Content 1 Math Trik: Mental Calulation: 19a19b Math
More informationMEP Practice Book ES5. 1. A coin is tossed, and a die is thrown. List all the possible outcomes.
5 Probability MEP Practice Book ES5 5. Outcome of Two Events 1. A coin is tossed, and a die is thrown. List all the possible outcomes. 2. A die is thrown twice. Copy the diagram below which shows all the
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 informationModule 4 Project Maths Development Team Draft (Version 2)
5 Week Modular Course in Statistics & Probability Strand 1 Module 4 Set Theory and Probability It is often said that the three basic rules of probability are: 1. Draw a picture 2. Draw a picture 3. Draw
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 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 Week-in-Reviews
More information2. Complete the congruence statements based on the corresponding sides of the congruent triangles.
Name Practice Quiz (6.4 6.8 & 11.9) 1. Name the corresponding sides and the corresponding angles. D DF D F 2. omplete the congruence statements based on the corresponding sides of the congruent triangles.
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 informationThe UK Linguistics Olympiad 2017
Round 2 Prolem 5. Magi Yup ik Central Alaskan Yup ik elongs to the Eskimo-Aleut language family. It is spoken in western and southwestern Alaska y around 20,000 speakers. Yup ik people have an interesting
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 informationInvestigate index notation and represent whole numbers as products of powers of prime numbers (ACMNA149) a) 36 b) 100 c) 196 d) 441
Teaher Notes 7 8 9 10 11 12 Aim TI-Nspire CAS Investigation Student 120min The number 12 has six fators: 1, 2, 3, 4, 6 and 12. The number 36 has more fators. Whih number would have the greatest number
More informationProbability and Counting Techniques
Probability and Counting Techniques Diana Pell (Multiplication Principle) Suppose that a task consists of t choices performed consecutively. Suppose that choice 1 can be performed in m 1 ways; for each
More informationA Zero-Error Source Coding Solution to the Russian Cards Problem
A Zero-Error Soure Coding Solution to the Russian Cards Problem ESTEBAN LANDERRECHE Institute of Logi, Language and Computation January 24, 2017 Abstrat In the Russian Cards problem, Alie wants to ommuniate
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 informationProbability. Dr. Zhang Fordham Univ.
Probability! Dr. Zhang Fordham Univ. 1 Probability: outline Introduction! Experiment, event, sample space! Probability of events! Calculate Probability! Through counting! Sum rule and general sum rule!
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 information5.6. Independent Events. INVESTIGATE the Math. Reflecting
5.6 Independent Events YOU WILL NEED calculator EXPLORE The Fortin family has two children. Cam determines the probability that the family has two girls. Rushanna determines the probability that the family
More informationSection 11.4: Tree Diagrams, Tables, and Sample Spaces
Section 11.4: Tree Diagrams, Tables, and Sample Spaces Diana Pell Exercise 1. Use a tree diagram to find the sample space for the genders of three children in a family. Exercise 2. (You Try!) A soda machine
More informationAlgebra II- Chapter 12- Test Review
Sections: Counting Principle Permutations Combinations Probability Name Choose the letter of the term that best matches each statement or phrase. 1. An illustration used to show the total number of A.
More informationNot for sale or distribution
. Whole Numbers, Frations, Deimals, and Perentages In this hapter you will learn about: multiplying and dividing negative numbers squares, ubes, and higher powers, and their roots adding and subtrating
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 informationFind 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 informationMEP Practice Book SA5
5 Probability 5.1 Probabilities MEP Practice Book SA5 1. Describe the probability of the following events happening, using the terms Certain Very likely Possible Very unlikely Impossible (d) (e) (f) (g)
More informationChapter 1 - Set Theory
Midterm review Math 3201 Name: Chapter 1 - Set Theory Part 1: Multiple Choice : 1) U = {hockey, basketball, golf, tennis, volleyball, soccer}. If B = {sports that use a ball}, which element would be in
More informationMath 3201 Unit 3: Probability Name:
Multiple Choice Math 3201 Unit 3: Probability Name: 1. Given the following probabilities, which event is most likely to occur? A. P(A) = 0.2 B. P(B) = C. P(C) = 0.3 D. P(D) = 2. Three events, A, B, and
More informationMTH 103 H Final Exam. 1. I study and I pass the course is an example of a. (a) conjunction (b) disjunction. (c) conditional (d) connective
MTH 103 H Final Exam Name: 1. I study and I pass the course is an example of a (a) conjunction (b) disjunction (c) conditional (d) connective 2. Which of the following is equivalent to (p q)? (a) p q (b)
More informationProbability. Ms. Weinstein Probability & Statistics
Probability Ms. Weinstein Probability & Statistics Definitions Sample Space The sample space, S, of a random phenomenon is the set of all possible outcomes. Event An event is a set of outcomes of a random
More informationVENN DIAGRAMS. B = {odd numbers greater than 12 and less than 18} A = {composite numbers ranging from 10 to 20} Question 2
Question 1 VENN DIAGRAMS a. Draw a Venn diagram representing the relationship between the following sets. Show the position of all the elements in the Venn diagram. ξ = {integers ranging from 10 to 20}
More informationChapter 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 informationDependence. Math Circle. October 15, 2016
Dependence Math Circle October 15, 2016 1 Warm up games 1. Flip a coin and take it if the side of coin facing the table is a head. Otherwise, you will need to pay one. Will you play the game? Why? 2. If
More informationNew Approach in Gate-Level Glitch Modelling *
New Approah in Gate-Level Glith Modelling * Dirk Rae Wolfgang Neel Carl von Ossietzky University Oldenurg OFFIS FB 1 Department of Computer Siene Esherweg 2 D-26111 Oldenurg, Germany D-26121 Oldenurg,
More informationCHAPTER 9 - COUNTING PRINCIPLES AND PROBABILITY
CHAPTER 9 - COUNTING PRINCIPLES AND PROBABILITY Probability is the Probability is used in many real-world fields, such as insurance, medical research, law enforcement, and political science. Objectives:
More informationheads 1/2 1/6 roll a die sum on 2 dice 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 1, 2, 3, 4, 5, 6 heads tails 3/36 = 1/12 toss a coin trial: an occurrence
trial: an occurrence roll a die toss a coin sum on 2 dice sample space: all the things that could happen in each trial 1, 2, 3, 4, 5, 6 heads tails 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 example of an outcome:
More information4.3 Rules of Probability
4.3 Rules of Probability If a probability distribution is not uniform, to find the probability of a given event, add up the probabilities of all the individual outcomes that make up the event. Example:
More informationI. WHAT IS PROBABILITY?
C HAPTER 3 PROAILITY Random Experiments I. WHAT IS PROAILITY? The weatherman on 10 o clock news program states that there is a 20% chance that it will snow tomorrow, a 65% chance that it will rain and
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 information4.1 Sample Spaces and Events
4.1 Sample Spaces and Events An experiment is an activity that has observable results. Examples: Tossing a coin, rolling dice, picking marbles out of a jar, etc. The result of an experiment is called an
More informationTHE PRODUCT PRINCIPLE
214 OUNTING ND THE INOMIL EXNSION (hapter 8) OENING ROLEM t an I Mathematics Teachers onference there are 273 delegates present. The organising committee consists of 10 people. ² If each committee memer
More informationProbability --QUESTIONS-- Principles of Math 12 - Probability Practice Exam 1
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 informationCSC/MTH 231 Discrete Structures II Spring, Homework 5
CSC/MTH 231 Discrete Structures II Spring, 2010 Homework 5 Name 1. A six sided die D (with sides numbered 1, 2, 3, 4, 5, 6) is thrown once. a. What is the probability that a 3 is thrown? b. What is the
More 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 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 informationProbability. March 06, J. Boulton MDM 4U1. P(A) = n(a) n(s) Introductory Probability
Most people think they understand odds and probability. Do you? Decision 1: Pick a card Decision 2: Switch or don't Outcomes: Make a tree diagram Do you think you understand probability? Probability Write
More informationMath 3201 Midterm Chapter 3
Math 3201 Midterm Chapter 3 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which expression correctly describes the experimental probability P(B), where
More informationChapter 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 informationCLASSIFIED A-LEVEL PROBABILITY S1 BY: MR. AFDZAL Page 1
5 At a zoo, rides are offered on elephants, camels and jungle tractors. Ravi has money for only one ride. To decide which ride to choose, he tosses a fair coin twice. If he gets 2 heads he will go on the
More informationChapter 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 informationFunctional Skills Mathematics
Functional Skills Mathematics Level Learning Resource Probability D/L. Contents Independent Events D/L. Page - Combined Events D/L. Page - 9 West Nottinghamshire College D/L. Information Independent Events
More informationSection Introduction to Sets
Section 1.1 - Introduction to Sets Definition: A set is a well-defined collection of objects usually denoted by uppercase letters. Definition: The elements, or members, of a set are denoted by lowercase
More informationName Date Trial 1: Capture distances with only decimeter markings. Name Trial 1 Trial 2 Trial 3 Average
Decimal Drop Name Date Trial 1: Capture distances with only decimeter markings. Name Trial 1 Trial 2 Trial 3 Average Trial 2: Capture distances with centimeter markings Name Trial 1 Trial 2 Trial 3 Average
More informationShe concludes that the dice is biased because she expected to get only one 6. Do you agree with June's conclusion? Briefly justify your answer.
PROBABILITY & STATISTICS TEST Name: 1. June suspects that a dice may be biased. To test her suspicions, she rolls the dice 6 times and rolls 6, 6, 4, 2, 6, 6. She concludes that the dice is biased because
More informationMath 102 Practice for Test 3
Math 102 Practice for Test 3 Name Show your work and write all fractions and ratios in simplest form for full credit. 1. If you draw a single card from a standard 52-card deck what is P(King face card)?
More informationSection 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 informationN1 End-of-unit Test 2
N End-of-unit Test 2 a Draw a irle around all the numers that divide y with no remainder. 20 2 0 Draw a irle around all the numers that divide y with no remainder. 20 2 0 Draw a irle around all the numers
More information2 C. 1 D. 2 4 D. 5 3 C. 25 D. 2
Discrete Math Exam Review Name:. A bag contains oranges, grapefruits, and tangerine. A piece of fruit is chosen from the bag at random. What is the probability that a grapefruit will be chosen from the
More informationProbability Models. Section 6.2
Probability Models Section 6.2 The Language of Probability What is random? Empirical means that it is based on observation rather than theorizing. Probability describes what happens in MANY trials. Example
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 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 informationClass XII Chapter 13 Probability Maths. Exercise 13.1
Exercise 13.1 Question 1: Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E F) = 0.2, find P (E F) and P(F E). It is given that P(E) = 0.6, P(F) = 0.3, and P(E F) = 0.2 Question 2:
More informationProbability Essential Math 12 Mr. Morin
Probability Essential Math 12 Mr. Morin Name: Slot: Introduction Probability and Odds Single Event Probability and Odds Two and Multiple Event Experimental and Theoretical Probability Expected Value (Expected
More information6. a) Determine the probability distribution. b) Determine the expected sum of two dice. c) Repeat parts a) and b) for the sum of
d) generating a random number between 1 and 20 with a calculator e) guessing a person s age f) cutting a card from a well-shuffled deck g) rolling a number with two dice 3. Given the following probability
More 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 informationChapter 16. Probability. For important terms and definitions refer NCERT text book. (6) NCERT text book page 386 question no.
Chapter 16 Probability For important terms and definitions refer NCERT text book. Type- I Concept : sample space (1)NCERT text book page 386 question no. 1 (*) (2) NCERT text book page 386 question no.
More informationMath 1313 Conditional Probability. Basic Information
Math 1313 Conditional Probability Basic Information We have already covered the basic rules of probability, and we have learned the techniques for solving problems with large sample spaces. Next we will
More informationUnit 1 Day 1: Sample Spaces and Subsets. Define: Sample Space. Define: Intersection of two sets (A B) Define: Union of two sets (A B)
Unit 1 Day 1: Sample Spaces and Subsets Students will be able to (SWBAT) describe events as subsets of sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions,
More informationProbability. Probabilty Impossibe Unlikely Equally Likely Likely Certain
PROBABILITY Probability The likelihood or chance of an event occurring If an event is IMPOSSIBLE its probability is ZERO If an event is CERTAIN its probability is ONE So all probabilities lie between 0
More informationKey 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 informationProbability Review Questions
Probability Review Questions Short Answer 1. State whether the following events are mutually exclusive and explain your reasoning. Selecting a prime number or selecting an even number from a set of 10
More informationName: Probability, Part 1 March 4, 2013
1) Assuming all sections are equal in size, what is the probability of the spinner below stopping on a blue section? Write the probability as a fraction. 2) A bag contains 3 red marbles, 4 blue marbles,
More informationChapter 4. Probability and Counting Rules. McGraw-Hill, Bluman, 7 th ed, Chapter 4
Chapter 4 Probability and Counting Rules McGraw-Hill, Bluman, 7 th ed, Chapter 4 Chapter 4 Overview Introduction 4-1 Sample Spaces and Probability 4-2 Addition Rules for Probability 4-3 Multiplication
More informationApplications of Independent Events
pplications of Independent Events Focus on fter this lesson, you will be able to φ use tree diagrams, tables, and other graphic organizers to solve probability problems In the game of Sit and Save, you
More information( ) Online MC Practice Quiz KEY Chapter 5: Probability: What Are The Chances?
Online MC Practice Quiz KEY Chapter 5: Probability: What Are The Chances? 1. Research on eating habits of families in a large city produced the following probabilities if a randomly selected household
More informationMutually Exclusive Events Algebra 1
Name: Mutually Exclusive Events Algebra 1 Date: Mutually exclusive events are two events which have no outcomes in common. The probability that these two events would occur at the same time is zero. Exercise
More informationRaise your hand if you rode a bus within the past month. Record the number of raised hands.
166 CHAPTER 3 PROBABILITY TOPICS Raise your hand if you rode a bus within the past month. Record the number of raised hands. Raise your hand if you answered "yes" to BOTH of the first two questions. Record
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 informationSection The Multiplication Principle and Permutations
Section 2.1 - The Multiplication Principle and Permutations Example 1: A yogurt shop has 4 flavors (chocolate, vanilla, strawberry, and blueberry) and three sizes (small, medium, and large). How many different
More information#3. Let A, B and C be three sets. Draw a Venn Diagram and use shading to show the set: PLEASE REDRAW YOUR FINAL ANSWER AND CIRCLE IT!
Math 111 Practice Final For #1 and #2. Let U = { 1, 2, 3, 4, 5, 6, 7, 8} M = {1, 3, 5 } N = {1, 2, 4, 6 } P = {1, 5, 8 } List the members of each of the following sets, using set braces. #1. (M U P) N
More informationWelcome! 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 informationLesson 6: Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities
MATHEMATIS URRIULUM Lesson 6 7 5 Lesson 6: Using Tree Diagrams to Represent a Sample Space and to alculate Probabilities Suppose a girl attends a preschool where the students are studying primary colors.
More informationCHAPTER-8 Spread Spectrum Modulation Introduction: Problem of radio transmission Solution Firstly Secondly
CHAPER-8 Spread Spetrum Modulation Introdution: Initially developed for military appliations during II world war, that was less sensitive to intentional interferene or jamming y third parties. Spread spetrum
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 informationEnglish SCIENCE FREE ZAP YOUR SATS! PAGE SAMPLE MAG. KEY STAGE 22 now. now with added FUN EASY! 100% GREAT SCHOOLS
Y LL LY TA ER TO T T U NE! W CLUB KEY STAGE 22 now now wh added FUN 100% ER TEACH APPROVED EASY! English No Problem! SCIENCE ZAP YOUR SATS! FOR FOR AA GREAT GREAT SCHOOLS SCHOOLS OFFER OFFER SEE SEE THE
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 informationModule 5 Carrier Modulation. Version 2 ECE IIT, Kharagpur
Module 5 Carrier Modulation Version ECE II, Kharagpur Lesson 5 Quaternary Phase Shift Keying (QPSK) Modulation Version ECE II, Kharagpur After reading this lesson, you will learn about Quaternary Phase
More informationRANDOM EXPERIMENTS AND EVENTS
Random Experiments and Events 18 RANDOM EXPERIMENTS AND EVENTS In day-to-day life we see that before commencement of a cricket match two captains go for a toss. Tossing of a coin is an activity and getting
More information