Algebra II Chapter 12 Test Review


 Jacob Merritt
 1 years ago
 Views:
Transcription
1 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. circular permutations possible outcomes. B. combination 2. The number of possibilities of n objects, taken r at n! a time and defined as C(n, r) = ( n r)! r! C. fundamental counting principle 3. The number of ways that n objects can be arranged in a circle and defined by (n 1)! D. linear permutation 4. If one event can occur in m ways and another in n E. odds ways, then the number of ways that both can occur is m n ways f. success 5. The desired outcome of an event g. tree diagram 6. The number of possibilities of n objects arranged in a line and defined by P(n, r) = ( n r)! 7. The ratio of the number of ways an event can succeed to the number of ways it can fail n! How many ways can the letters of each word be arranged. 8. MONDAY 9. MOM 10. STEREO Determine whether each situation involves a permutation or a combination. 11. choosing a class president, vice president, and secretary 12. four tennis players from a group of nine 13. eight toppings for ice cream State the probability of an event occurring, given the odds of the event : : : : : :1 Evaluate each expression C C C ( 9 C 3 )( 6 C 2 )
2 Solve. 24. The letters A, B, C, and D are used to form fourletter passwords for entering a computer file. How many passwords are possible if letters can be repeated any number of times? 25. In a bag there are 5 math questions and 4 science questions. Ardie picks a question from the bag. What are the odds of not picking a science question? 26. How many 4person bobsled teams can be chosen from a group of 9 athletes? 27. How many 4digit positive even integers are there? 28. Ten points lie on a circle. How many line segments can be drawn between any two points? 29. How many different ways can 4 different books be arranged on the shelf? 30. How many 5sided polygons can be formed by joining any 5 of 11 points located on a circle? 31. A school club has 15 boys and 16 girls. How many different 6 person committees can be selected from the membership if equal numbers of boys and girls are to be selected? 32. How many diagonals does a polygon with 12 sides have? 33. An urn contains 8 white balls numbered 1 through 8, 6 blue balls numbered 1 through 6, and 9 red balls numbered 1 through 9. How many distinct groups of 6 balls can be selected to meet each condition? a.) All balls are red b.) Three are blue, 2 are white, and 1 is red c.) Two are blue, and 4 are red d.) Exactly 4 balls are white 34. How many ways can 8 members of a family be seated sidebyside in a movie theater if the father is seated in the aisle seat?
3 35. What are the odds that a person chosen at random got a passing grade on an algebra test if the scores were 3 A s, 4 B s, 10 C s, 2 D s and 2 F s? 36. How many ways can the first five letters of the alphabet be arranged if each is used only once? 37. How many license plate numbers consisting of three letters followed by three numbers are possible when repetition is allowed? 38. How many license plates are possible using the information in problem 37 if no repetition is allowed? 39. From a dessert cart in a fine restaurant, customers are allowed to pick 3 desserts from the 10 that are displayed. How many combinations are possible? 40. How many ways can 3 books be arranged on a shelf if chosen from a selection of 7 different books? 41. A restaurant serves 5 main dishes, 3 salads, and 4 desserts. How many different meals could be ordered if each has a main dish, a salad, and a dessert? 42. One bag of candy gummy fish contains 15 red gummy fish, 10 yellow gummy fish, and 6 green gummy fish. Find the probability of each selection. a.) picking a red gummy fish b.) not picking a yellow gummy fish c.) picking a green gummy fish d.) not picking a red gummy fish 43. How many 5digit even numbers can be formed using the digits 4,6,7,2,8 if digits can be repeated any number of times? 44. How many ways can 8 campers be seated around a campfire? 45. State the odds of an event occurring, given the probability of the event. a.) b.) 3 5 c.) 99 1 d.) 1000 e.) f.) In a group of 10 people, each person shakes hands with everyone else once. How many handshakes are there? (this is a famous problem)
4 47. For next year s schedule of classes, mathematics, English, history and science are scheduled during the first four period of the day. Your schedule is randomly selected by a computer. Find the probability that English, math, science and history will be scheduled in that order. 48. Seven letters are chosen, one at a time, at random from those in the word ENGLISH. a.) Find the probability that they will be chosen in alphabetical order. b.) Find the probability that the first letter will be a vowel. 49. Consider a state lottery which randomly selects 6 numbered balls from a bin. The balls are numbered from 1 to 52. To win the jackpot, a player must match all 6 balls, in any order. Determine the probability of winning the jackpot (matching all 6 numbers) for a person who buys one ticket. 50. To increase the difficulty of the lottery (and also the size of the jackpot), the state decides to label the last ball which is drawn as the Final Ball. To win the jackpot, a ticket must match the first five balls in any order, and the Final Ball. Determine the probability of winning the jackpot for a person who buys one ticket.
5 Create Pascal s Triangle Below: Use the binomial theorem to write the binomial expansion. 51.) ( x 10 ) 5 52.) (x + 3y) 7
6 53.) Find the indicated probability. State whether A and B are mutually exclusive. ( ) ( ) ( B) = ( and B) 54. P A = P B = 0.55 P A or 0.85 P A = ( ) = 40% ( ) = ( B) = ( B) P A P B P A or 60% P A and = 12% Mutually exclusive: Mutually exclusive: Find P(A ) 56. P A ( ) = 1 5 P( A' ) = Choosing Cards For problems 4 through 7: ONE card is randomly drawn from a standard 52card deck. Find the probability of the given event. State your answer in fractions. 57. An queen or a heart = 58. A face card and a club = 59. Not an ace = 60. Less than or equal to four (an ace is one) = 61. You randomly select two cards from a standard deck of 52 cards. What is the probability that the first card that you select is a jack or an ace and the second card is an ace, jack, or queen if you replace the first card before selecting the second? State your answer in rounded to four decimals.
7 62. In exercise 61, what is the probability if you DO NOT replace the first card before selecting the second? State your answer in rounded to four decimals. 63. The probability of a tourist visiting an area cave is.70 and of a tourist visiting a nearby park is.60. The probability of visiting both places on the same day is.40. The probability that a tourist visits an area cave or a nearby park on the same day is: 64. A drawer contains 7 pairs of white socks and 4 pairs of gray socks. You randomly select 3 pairs of socks from the drawer. Find the probability that the 3 pairs that you selected are white. Round your answer to three decimals. Use the below information for problems Marbles in a jar  A jar contains 12 red marbles, 16 blue marbles, and 18 white marbles. Find the probability of choosing the given marbles from the jar. Answer with decimals rounded to 3 places. Part a) With replacement Part b) Without replacement 65. red, then blue 66. white, then white 67. red, then white, then red 65 a) 66 a) 67 a) b) b) b) 68. Angela usually rushes to make it to the bus stop in time to catch the school bus, and will often miss the bus if it is early. The bus comes early to Angela s stop 28% of the time. What is the probability that the bus will come early at least once during a 5 day school week? 69. A tennis player wins a match 55% of the time when she serves first and 47% of the time when her opponents serves first. The player who serves first is determined by a coin toss before the match. What is the probability that the player wins a given match?
8 70. A card is drawn randomly from a standard 52card deck. Find the probability of drawing a red face card. 71. A school club has 5 freshman, 3 sophomores, 2 seniors and 2 juniors. How many different 8 person committees can be formed if equal numbers of freshman, sophomores, juniors and seniors are to be selected? 72. If the probability of an event occurring is 8 25, what are the odds that the event will occur? 73. If the odds of winning a contest are 1:553, what is the probability of losing the contest? 74. A coin purse contains 5 pennies, 7 nickels, and 8 dimes. A coin is selected at random. Find the probability that the coin is a dime. 75. Penn State University holds a lottery for spaces in their dormitories for sophomores. They have a total of 1,580 rooms available for sophomores. If you are one of 2,348 students entering the lottery for a dormitory room, what are the odds that you will have to look elsewhere for housing? 76. In a game of Go Fish you choose 1 card from player to your right. Your hand contains: K Q The player to your right is holding: J A When you draw one card from the person to your right without seeing his cards, what is the probability that you will create a pair in your hand? (A pair consists of two cards that are the same number/face card).
9 77. The table at right gives the results of rolling one die 50 times. What is the experimental probability of rolling a 3? Roll Number of occurrences The target at right is used for a game of darts. The inner circle has a radius of 1 and each ring has a radius width of 1. If a dart has the same chance of landing at any point in the square, what is the probability of landing your first dart in either of the rings worth 30 or 40 points? " 12" 79. A bag of Hershey kisses contains 3 milk chocolate, 10 dark chocolate, and 15 chocolate almond kisses. What is the probability of drawing a milk chocolate or a dark chocolate kiss? 80. Use the data to complete the problem BY HAND, show all your work for full credit! 46, 18, 64, 28, 48, 18 MEAN: MEDIAN: MODE: RANGE: VARIANCE: STANDARD DEV: Min: Q 1 : Q 2 : Q 3 : Max: IQR: Use the information you just found to draw a boxandwhisker plot
10 81. The following statistics were produced at the end of a week at a weight loss center indicating pounds lost. mean = 5 lbs. median = 7 lbs. mode = 4 lbs. first quartile = 2 lbs. third quartile = 8.5 lbs. standard deviation = 0.5 lbs. Which of the following statements are correct? I. One quarter of weight watchers lost 2 pounds or less II. The middle 50% of the weight watchers lost between 2 and 8.5 pounds III. The most common weight loss was 4 pounds. (A) I only (B) II only (C) III only (D) II and III only (E) I, II and III 82. The boxplots above summarize two sets of data, A and B. Which of the following must be true? I. Set B contains more observations than Set A II. Set A has a larger range than Set B III. Set A and Set B have the same median. (A) I only (B) III only (C) I and II only (D) II and III only (E) I, II and III
11
Advanced Intermediate Algebra Chapter 12 Summary INTRO TO PROBABILITY
Advanced Intermediate Algebra Chapter 12 Summary INTRO TO PROBABILITY 1. Jack and Jill do not like washing dishes. They decide to use a random method to select whose turn it is. They put some red and blue
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 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 informationFundamentals of Probability
Fundamentals of Probability Introduction Probability is the likelihood that an event will occur under a set of given conditions. The probability of an event occurring has a value between 0 and 1. An impossible
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 information101. Combinations. Vocabulary. Lesson. Mental Math. able to compute the number of subsets of size r.
Chapter 10 Lesson 101 Combinations BIG IDEA With a set of n elements, it is often useful to be able to compute the number of subsets of size r Vocabulary combination number of combinations of n things
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 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 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 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 informationChapter 13 Test Review
1. The tree diagrams below show the sample space of choosing a cushion cover or a bedspread in silk or in cotton in red, orange, or green. Write the number of possible outcomes. A 6 B 10 C 12 D 4 Find
More 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 informationChapter 3: PROBABILITY
Chapter 3 Math 3201 1 3.1 Exploring Probability: P(event) = Chapter 3: PROBABILITY number of outcomes favourable to the event total number of outcomes in the sample space An event is any collection of
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
More 9.9.3 Practice Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer the question. ) In how many ways can you answer the questions on
More informationPROBABILITY. Example 1 The probability of choosing a heart from a deck of cards is given by
Classical Definition of Probability PROBABILITY Probability is the measure of how likely an event is. An experiment is a situation involving chance or probability that leads to results called outcomes.
More informationName: Class: Date: Probability/Counting Multiple Choice PreTest
Name: _ lass: _ ate: Probability/ounting Multiple hoice PreTest Multiple hoice Identify the choice that best completes the statement or answers the question. 1 The dartboard has 8 sections of equal area.
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 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 informationGeorgia Department of Education Common Core Georgia Performance Standards Framework CCGPS Analytic Geometry Unit 7 PREASSESSMENT
PREASSESSMENT Name of Assessment Task: Compound Probability 1. State a definition for each of the following types of probability: A. Independent B. Dependent C. Conditional D. Mutually Exclusive E. Overlapping
More informationUnit 7 Central Tendency and Probability
Name: Block: 7.1 Central Tendency 7.2 Introduction to Probability 7.3 Independent Events 7.4 Dependent Events 7.1 Central Tendency A central tendency is a central or value in a data set. We will look at
More informationFundamental. If one event can occur m ways and another event can occur n ways, then the number of ways both events can occur is:.
12.1 The Fundamental Counting Principle and Permutations Objectives 1. Use the fundamental counting principle to count the number of ways an event can happen. 2. Use the permutations to count the number
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 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 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 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 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 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 information6. In how many different ways can you answer 10 multiplechoice questions if each question has five choices?
PreCalculus Section 4.1 Multiplication, Addition, and Complement 1. Evaluate each of the following: a. 5! b. 6! c. 7! d. 0! 2. Evaluate each of the following: a. 10! b. 20! 9! 18! 3. In how many different
More informationName: Spring P. Walston/A. Moore. Topic worksheet # assigned #completed Teacher s Signature Tree Diagrams FCP
Name: Spring 2016 P. Walston/A. Moore Topic worksheet # assigned #completed Teacher s Signature Tree Diagrams 10 13 FCP 11 16 Combinations/ Permutations Factorials 12 22 13 20 Intro to Probability
More informationIntroduction. Firstly however we must look at the Fundamental Principle of Counting (sometimes referred to as the multiplication rule) which states:
Worksheet 4.11 Counting Section 1 Introduction When looking at situations involving counting it is often not practical to count things individually. Instead techniques have been developed to help us count
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 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 informationMAT104: Fundamentals of Mathematics II Counting Techniques Class Exercises Solutions
MAT104: Fundamentals of Mathematics II Counting Techniques Class Exercises Solutions 1. Appetizers: Salads: Entrées: Desserts: 2. Letters: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U,
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Study Guide for Test III (MATH 1630) Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the number of subsets of the set. 1) {x x is an even
More information12.1 The Fundamental Counting Principle and Permutations
12.1 The Fundamental Counting Principle and Permutations The Fundamental Counting Principle Two Events: If one event can occur in ways and another event can occur in ways then the number of ways both events
More informationProbability, Permutations, & Combinations LESSON 11.1
Probability, Permutations, & Combinations LESSON 11.1 Objective Define probability Use the counting principle Know the difference between combination and permutation Find probability Probability PROBABILITY:
More information50 Counting Questions
50 Counting Questions ProbStats (Math 3350) Fall 2012 Formulas and Notation Permutations: P (n, k) = n!, the number of ordered ways to permute n objects into (n k)! k bins. Combinations: ( ) n k = n!,
More informationCHAPTER 6 PROBABILITY. Chapter 5 introduced the concepts of z scores and the normal curve. This chapter takes
CHAPTER 6 PROBABILITY Chapter 5 introduced the concepts of z scores and the normal curve. This chapter takes these two concepts a step further and explains their relationship with another statistical concept
More informationCHAPTER 8 Additional Probability Topics
CHAPTER 8 Additional Probability Topics 8.1. Conditional Probability Conditional probability arises in probability experiments when the person performing the experiment is given some extra information
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 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 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 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 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 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 information7.1 Experiments, Sample Spaces, and Events
7.1 Experiments, 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
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 informationUnit 9: Probability Assignments
Unit 9: Probability Assignments #1: Basic Probability In each of exercises 1 & 2, find the probability that the spinner shown would land on (a) red, (b) yellow, (c) blue. 1. 2. Y B B Y B R Y Y B R 3. Suppose
More informationMath 7 Notes  Unit 11 Probability
Math 7 Notes  Unit 11 Probability Probability Syllabus Objective: (7.2)The student will determine the theoretical probability of an event. Syllabus Objective: (7.4)The student will compare theoretical
More informationDiscrete probability and the laws of chance
Chapter 8 Discrete probability and the laws of chance 8.1 Multiple Events and Combined Probabilities 1 Determine the probability of each of the following events assuming that the die has equal probability
More informationIndependent Events. If we were to flip a coin, each time we flip that coin the chance of it landing on heads or tails will always remain the same.
Independent Events Independent events are events that you can do repeated trials and each trial doesn t have an effect on the outcome of the next trial. If we were to flip a coin, each time we flip that
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 information10.1 Applying the Counting Principle and Permutations (helps you count up the number of possibilities!)
10.1 Applying the Counting Principle and Permutations (helps you count up the number of possibilities!) Example 1: Pizza You are buying a pizza. You have a choice of 3 crusts, 4 cheeses, 5 meat toppings,
More information2. How many different threemember teams can be formed from six students?
KCATM 2011 Probability & Statistics 1. A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with 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 informationCHAPTER 7 Probability
CHAPTER 7 Probability 7.1. Sets A set is a welldefined collection of distinct objects. Welldefined means that we can determine whether an object is an element of a set or not. Distinct means that we can
More informationCounting Principles Review
Counting Principles Review 1. A magazine poll sampling 100 people gives that following results: 17 read magazine A 18 read magazine B 14 read magazine C 8 read magazines A and B 7 read magazines A and
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 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 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 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 informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 1324 Test 3 Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Insert " " or " " in the blank to make the statement true. 1) {18, 27, 32}
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 informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Practice for Final Exam Name Identify the following variable as either qualitative or quantitative and explain why. 1) The number of people on a jury A) Qualitative because it is not a measurement or a
More informationContents 2.1 Basic Concepts of Probability Methods of Assigning Probabilities Principle of Counting  Permutation and Combination 39
CHAPTER 2 PROBABILITY Contents 2.1 Basic Concepts of Probability 38 2.2 Probability of an Event 39 2.3 Methods of Assigning Probabilities 39 2.4 Principle of Counting  Permutation and Combination 39 2.5
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 informationCCM6+7+ Unit 11 ~ Page 1. Name Teacher: Townsend ESTIMATED ASSESSMENT DATES:
CCM6+7+ Unit 11 ~ Page 1 CCM6+7+ UNIT 11 PROBABILITY Name Teacher: Townsend ESTIMATED ASSESSMENT DATES: Unit 11 Vocabulary List 2 Simple Event Probability 37 Expected Outcomes Making Predictions 89 Theoretical
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 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 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 information5 Elementary Probability Theory
5 Elementary Probability Theory 5.1 What is Probability? The Basics We begin by defining some terms. Random Experiment: any activity with a random (unpredictable) result that can be measured. Trial: one
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 information2. The value of the middle term in a ranked data set is called: A) the mean B) the standard deviation C) the mode D) the median
1. An outlier is a value that is: A) very small or very large relative to the majority of the values in a data set B) either 100 units smaller or 100 units larger relative to the majority of the values
More informationUnit Nine Precalculus Practice Test Probability & Statistics. Name: Period: Date: NONCALCULATOR SECTION
Name: Period: Date: NONCALCULATOR SECTION Vocabulary: Define each word and give an example. 1. discrete mathematics 2. dependent outcomes 3. series Short Answer: 4. Describe when to use a combination.
More informationChapter 1: Sets and Probability
Chapter 1: Sets and Probability Section 1.31.5 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 informationContemporary Mathematics Math 1030 Sample Exam I Chapters Time Limit: 90 Minutes No Scratch Paper Calculator Allowed: Scientific
Contemporary Mathematics Math 1030 Sample Exam I Chapters 1315 Time Limit: 90 Minutes No Scratch Paper Calculator Allowed: Scientific Name: The point value of each problem is in the lefthand margin.
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 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 informationNwheatleyschaller s The Next Step...Conditional Probability
CK12 FOUNDATION Nwheatleyschaller s The Next Step...Conditional Probability Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) Meery To access a customizable version of
More informationChapter 11: Probability and Counting Techniques
Chapter 11: Probability and Counting Techniques Diana Pell Section 11.3: Basic Concepts of Probability Definition 1. A sample space is a set of all possible outcomes of an experiment. Exercise 1. An experiment
More informationProbability WarmUp 2
Probability WarmUp 2 Directions Solve to the best of your ability. (1) Write out the sample space (all possible outcomes) for the following situation: A dice is rolled and then a color is chosen, blue
More informationData Analysis & Probability Counting Techniques & Probability (Notes)
Data Analysis & Probability Counting Techniques & Probability (Notes) Name I can Date Essential Question(s): Key Concepts Notes Fundamental Counting Principle Factorial Permutations Combinations What is
More informationATHS FC Math Department Al Ain Remedial worksheet. Lesson 10.4 (Ellipses)
ATHS FC Math Department Al Ain Remedial worksheet Section Name ID Date Lesson Marks Lesson 10.4 (Ellipses) 10.4, 10.5, 0.4, 0.5 and 0.6 Intervention Plan Page 1 of 19 Gr 12 core c 2 = a 2 b 2 Question
More informationChapter 11: Probability and Counting Techniques
Chapter 11: Probability and Counting Techniques Diana Pell Section 11.1: The Fundamental Counting Principle Exercise 1. How many different twoletter words (including nonsense words) can be formed when
More informationCourse Learning Outcomes for Unit V
UNIT V STUDY GUIDE Counting Reading Assignment See information below. Key Terms 1. Combination 2. Fundamental counting principle 3. Listing 4. Permutation 5. Tree diagrams Course Learning Outcomes for
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 informationLC OL Probability. ARNMaths.weebly.com. As part of Leaving Certificate Ordinary Level Math you should be able to complete the following.
A Ryan LC OL Probability ARNMaths.weebly.com Learning Outcomes As part of Leaving Certificate Ordinary Level Math you should be able to complete the following. Counting List outcomes of an experiment Apply
More informationIntermediate Math Circles November 1, 2017 Probability I
Intermediate Math Circles November 1, 2017 Probability I Probability is the study of uncertain events or outcomes. Games of chance that involve rolling dice or dealing cards are one obvious area of application.
More informationApril 10, ex) Draw a tree diagram of this situation.
April 10, 2014 121 Fundamental Counting Principle & Multiplying Probabilities 1. Outcome  the result of a single trial. 2. Sample Space  the set of all possible outcomes 3. Independent Events  when
More informationUse Venn diagrams to determine whether the following statements are equal for all sets A and B. 2) A' B', A B Answer: not equal
Test Prep Name Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z} Determine the following. ) (A' C) B' {r, t, v, w, x} Use Venn diagrams to determine whether
More informationKS3 Levels 38. Unit 3 Probability. Homework Booklet. Complete this table indicating the homework you have been set and when it is due by.
Name: Maths Group: Tutor Set: Unit 3 Probability Homework Booklet KS3 Levels 38 Complete this table indicating the homework you have been set and when it is due by. Date Homework Due By Handed In Please
More informationMost of the time we deal with theoretical probability. Experimental probability uses actual data that has been collected.
AFM Unit 7 Day 3 Notes Theoretical vs. Experimental Probability Name Date Definitions: Experiment: process that gives a definite result Outcomes: results Sample space: set of all possible outcomes Event:
More informationW = {Carrie (U)nderwood, Kelly (C)larkson, Chris (D)aughtry, Fantasia (B)arrino, and Clay (A)iken}
UNIT V STUDY GUIDE Counting Course Learning Outcomes for Unit V Upon completion of this unit, students should be able to: 1. Apply mathematical principles used in realworld situations. 1.1 Draw tree diagrams
More informationMAT Midterm Review
MAT 120  Midterm Review Name Identify the population and the sample. 1) When 1094 American households were surveyed, it was found that 67% of them owned two cars. Identify whether the statement describes
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 informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Ch. 3 Probability 3.1 Basic Concepts of Probability and Counting 1 Find Probabilities 1) A coin is tossed. Find the probability that the result is heads. A) 0. B) 0.1 C) 0.9 D) 1 2) A single sixsided
More informationSTATISTICS and PROBABILITY GRADE 6
Kansas City Area Teachers of Mathematics 2016 KCATM Math Competition STATISTICS and PROBABILITY GRADE 6 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may use
More informationCISC 1400 Discrete Structures
CISC 1400 Discrete Structures Chapter 6 Counting CISC1400 Yanjun Li 1 1 New York Lottery New York Megamillion Jackpot Pick 5 numbers from 1 56, plus a mega ball number from 1 46, you could win biggest
More informationMathematics (Project Maths Phase 2)
2014. S233 Coimisiún na Scrúduithe Stáit State Examinations Commission Junior Certificate Examination 2014 Mathematics (Project Maths Phase 2) Paper 2 Ordinary Level Monday 9 June Morning, 9:30 to 11:30
More informationSALES AND MARKETING Department MATHEMATICS. Combinatorics and probabilities. Tutorials and exercises
SALES AND MARKETING Department MATHEMATICS 2 nd Semester Combinatorics and probabilities Tutorials and exercises Online document : http://jffduttc.weebly.com section DUT Maths S2 IUT de SaintEtienne
More information