Determine whether the given events are disjoint. 4) Being over 30 and being in college 4) A) No B) Yes


 Vivian Hawkins
 4 years ago
 Views:
Transcription
1 Math 34 Test #4 Review Fall 06 Name Tell whether the statement is true or false. ) 3 {x x is an even counting number} ) A) True False Decide whether the statement is true or false. ) {5, 0, 5, 0} {5, 5} = {5, 0, 5, 0} ) A) True False 3) {9, 8, } {, 9, 8} = {9, } 3) A) True False Determine whether the given events are disjoint. 4) Being over 30 and being in college 4) A) No Yes 5) Drawing a face card from a deck of cards and drawing a deuce 5) A) Yes No Find the probability of the given event. 6) A card drawn from a wellshuffled deck of 5 cards is a red ace. 6) A) ) One card is selected from a deck of cards. Find the probability of selecting a red card or a queen. 7) A) Find the odds in favor of the indicated event. 8) Randomly drawing a 4 from the cards pictured below. 8) A) to 5 5 to to 4 4 to 9) If two cards are drawn without replacement from an ordinary deck, find the probability that the second card is a face card, given that the first card was a queen. A) ) Assume that two marbles are drawn without replacement from a box with blue, 3 white, green, and red marbles. Find the probability of the indicated result. 0) The second marble is blue, given that the first marble is red. 0) A)
2 Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability. ) Four cards are drawn from a deck. The number of red tens is counted. ) A) Find the expected value for the random variable. ) x P(x) A) ) 3) Suppose you buy ticket for $ out of a lottery of 000 tickets where the prize for the one winning ticket is to be $500. What are your expected winnings? A) $.00 $0 $.40 $.50 3) Use the multiplication principle to solve the problem. 4) How many different 5digit sequences can be formed using the digits 0,,...,8 if repetition of digits is allowed? A) 3, ,049 4) 5) There are members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible? A) ,00,600 6) There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible? A) ) Five cards are drawn at random from an ordinary deck of 5 cards. In how many ways is it possible to draw two red aces and two black jacks? A),5 ways 9 ways 48 ways 44 ways 8) From a group of 5 women and men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can the study group be selected? A) 79,47,600 3,85,35 3,037, ) 6) 7) 8) A bag contains 6 cherry, 3 orange, and lemon candies. You reach in and take 3 pieces of candy at random. Find the probability. 9) All cherry 9) A)
3 Find the probability of the following card hands from a 5card deck. In poker, aces are either high or low. A bridge hand is made up of 3 cards. 0) In poker, a flush (5 in same suit) in any suit 0) A) ) Three student representatives are to be chosen from a group of five students: Andrew, Brenda, Chad, Dorothy, and Eric. In how many different ways can the representatives be chosen if two must be male and one female? A) 6 4 ) Find the requested probability. ) A family has five children. The probability of having a girl is. What is the probability of having ) exactly girls and 3 boys? A) A die is rolled five times and the number of fours that come up is tallied. Find the probability of getting the given result. 3) Exactly zero fours 3) A) A die is rolled 0 times and the number of twos that come up is tallied. Find the probability of getting the given result. 4) Less than four twos 4) A) Find the interest. Round to the nearest cent. 5) $90 at 8.8% for 3 months 5) A) Interest = $76.56 Interest = $6.38 Interest = $8.5 Interest = $ Find the exact interest. Use 365 days in a year, and use the exact number of days in a month. Round to the nearest cent, if necessary. 6) $3300 at 8% for 60 days 6) A) $5.73 $.57 $7.33 $.73 For the given bond, whose interest rate is provided, find the semiannual interest payment and the total interest earned over the life of the bond. 7) $0,000 FI National Corporation 8year bond at 4.5% 7) A) $,500.00; $80, $0.00; $ $5.00; $ $450.00; $ Find the future value of the loan. 8) $ loan at 8% for 5 months 8) A) $00.00 $60.00 $65.00 $ Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent. 9) $9,000 for months; money earns 5% 9) A) $8,9.6 $57.0 $8,84.98 $8,
4 The given Treasury bill was sold in April of this year. Find (i) the price of the Tbill, and (ii) the actual interest rate paid by the Treasury. Round dollar amounts to the nearest cent and interest rates to the nearest thousandth. 30) Oneyear $3000 Tbill with discount rate 0.075% 30) A) (i) $997.75; (i) $999.78; (ii) About 0.075% (ii) About 0.008% (i) $997.30; (ii) About 0.09% (i) $300.5; (ii) About 0.075% Find the compound amount for the deposit. Round to the nearest cent. 3) $000 at 8% compounded annually for 8 years 3) A) $ $ $ $73.8 Find the compound interest earned by the deposit. Round to the nearest cent. 3) $000 at 3% compounded semiannually for 0 years 3) A) $343.9 $ $60.54 $ Find the APY corresponding to the given nominal rates. 33) 5% compounded semiannually 33) A) 5.00% 5.09% 5.% 5.06% 4
5 Answer Key Testname: MATH 34 TEST #4 REVIEW ) A ) A 3) B 4) A 5) A 6) D 7) B 8) C 9) D 0) C ) D ) D 3) D 4) D 5) A 6) A 7) C 8) B 9) A 0) D ) B ) B 3) B 4) A 5) B 6) A 7) C 8) B 9) C 30) A 3) A 3) B 33) D 5
MATH CALCULUS & STATISTICS/BUSN  PRACTICE EXAM #1  SPRING DR. DAVID BRIDGE
MATH 2053  CALCULUS & STATISTICS/BUSN  PRACTICE EXAM #1  SPRING 2009  DR. DAVID BRIDGE MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the
More informationMATH CALCULUS & STATISTICS/BUSN  PRACTICE EXAM #2  FALL DR. DAVID BRIDGE
MATH 2053  CALCULUS & STATISTICS/BUSN  PRACTICE EXAM #2  FALL 2009  DR. DAVID BRIDGE MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the
More informationSpring 2015 Math227 Test #2 (Chapter 4 and Chapter 5) Name
Spring 2015 Math227 Test #2 (Chapter 4 and Chapter 5) Name Show all work neatly and systematically for full credit. You may use a TI calculator. Total points: 100 Provide an appropriate response. 1) (5)
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 informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MATH 00  PRACTICE EXAM 3 Millersville University, Fall 008 Ron Umble, Instr. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. For the given question,
More informationC) 1 4. Find the indicated probability. 2) A die with 12 sides is rolled. What is the probability of rolling a number less than 11?
Chapter Probability Practice STA03, Broward College Answer the question. ) On a multiple choice test with four possible answers (like this question), what is the probability of answering a question correctly
More informationMATH CALCULUS & STATISTICS/BUSN  PRACTICE EXAM #1  SPRING DR. DAVID BRIDGE
MATH 205  CALCULUS & STATISTICS/BUSN  PRACTICE EXAM #  SPRING 2006  DR. DAVID BRIDGE TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. Tell whether the statement is
More information6) A) both; happy B) neither; not happy C) one; happy D) one; not happy
MATH 00  PRACTICE TEST 2 Millersville University, Spring 202 Ron Umble, Instr. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find all natural
More informationFALL 2012 MATH 1324 REVIEW EXAM 4
FALL 01 MATH 134 REVIEW EXAM 4 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the sample space for the given experiment. 1) An ordinary die
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 informationMath 1070 Sample Exam 2
University of Connecticut Department of Mathematics Math 1070 Sample Exam 2 Exam 2 will cover sections 4.6, 4.7, 5.2, 5.3, 5.4, 6.1, 6.2, 6.3, 6.4, F.1, F.2, F.3 and F.4. This sample exam is intended to
More informationMATH CALCULUS & STATISTICS/BUSN  PRACTICE EXAM #1  SPRING DR. DAVID BRIDGE
MATH 205  CALCULUS & STATISTICS/BUSN  PRACTICE EXAM #1  SPRING 2009  DR. DAVID BRIDGE TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. Tell whether the statement is
More informationFinite Math B, Chapter 8 Test Review Name
Finite Math B, Chapter 8 Test Review Name Evaluate the factorial. 1) 6! A) 720 B) 120 C) 360 D) 1440 Evaluate the permutation. 2) P( 10, 5) A) 10 B) 30,240 C) 1 D) 720 3) P( 12, 8) A) 19,958,400 B) C)
More information15,504 15, ! 5!
Math 33 eview (answers). Suppose that you reach into a bag and randomly select a piece of candy from chocolates, 0 caramels, and peppermints. Find the probability of: a) selecting a chocolate b) selecting
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Mathematical Ideas Chapter 2 Review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. ) In one town, 2% of all voters are Democrats. If two voters
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 informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
6. Practice Problems Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the probability. ) A bag contains red marbles, blue marbles, and 8
More informationName (Place your name here and on the Scantron form.)
MATH 053  CALCULUS & STATISTICS/BUSN  CRN 0398  EXAM #  WEDNESDAY, FEB 09  DR. BRIDGE Name (Place your name here and on the Scantron form.) MULTIPLE CHOICE. Choose the one alternative that best completes
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 informationConvert the Egyptian numeral to HinduArabic form. 1) A) 3067 B) 3670 C) 3607 D) 367
MATH 100  PRACTICE EXAM 2 Millersville University, Spring 2011 Ron Umble, Instr. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Convert the Egyptian
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 informationRedwood High School. Department of Mathematics Advanced Algebra Test S2 #6.
Redwood High School. Department of Mathematics Advanced Algebra 20152016 Test S2 #6. Hard Worker's name: Find the indicated probability. 1) Of the 69 people who answered "yes" to a question, 12 were male.
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 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 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 informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
MATH 1324 Review for Test 3 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the value(s) of the function on the given feasible region. 1) Find the
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 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 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 informationTEST A CHAPTER 11, PROBABILITY
TEST A CHAPTER 11, PROBABILITY 1. Two fair dice are rolled. Find the probability that the sum turning up is 9, given that the first die turns up an even number. 2. Two fair dice are rolled. Find the probability
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 informationTO EARN ANY CREDIT, YOU MUST SHOW WORK.
Prof. Israel N. Nwaguru MATH 4 CHAPTER 8  REVIEW WORK OUT EACH PROBLEM NEATLY AND ORDERLY BY SHOWING ALL THE STEPS AS INDICATED IN CLASS ON SEPARATE SHEET, THEN CHOSE THE BEST ANSWER. TO EARN ANY CREDIT,
More informationPROBABILITY Case of cards
WORKSHEET NO1 PROBABILITY Case of cards WORKSHEET NO2 Case of two die Case of coins WORKSHEET NO3 1) Fill in the blanks: A. The probability of an impossible event is B. The probability of a sure
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 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 informationIntermediate Math Circles November 1, 2017 Probability I. Problem Set Solutions
Intermediate Math Circles November 1, 2017 Probability I Problem Set Solutions 1. Suppose we draw one card from a wellshuffled deck. Let A be the event that we get a spade, and B be the event we get an
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 informationAP Statistics Ch InClass Practice (Probability)
AP Statistics Ch 1415 InClass Practice (Probability) #1a) A batter who had failed to get a hit in seven consecutive times at bat then hits a gamewinning home run. When talking to reporters afterward,
More information3 The multiplication rule/miscellaneous counting problems
Practice for Exam 1 1 Axioms of probability, disjoint and independent events 1. Suppose P (A) = 0.4, P (B) = 0.5. (a) If A and B are independent, what is P (A B)? What is P (A B)? (b) If A and B are disjoint,
More informationExercise Class XI Chapter 16 Probability Maths
Exercise 16.1 Question 1: Describe the sample space for the indicated experiment: A coin is tossed three times. A coin has two faces: head (H) and tail (T). When a coin is tossed three times, the total
More informationMath 166: Topics in Contemporary Mathematics II
Math 166: Topics in Contemporary Mathematics II Xin Ma Texas A&M University September 30, 2017 Xin Ma (TAMU) Math 166 September 30, 2017 1 / 11 Last Time Factorials For any natural number n, we define
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 informationMath 113All Sections Final Exam May 6, 2013
Name Math 3All Sections Final Exam May 6, 23 Answer questions on the scantron provided. The scantron should be the same color as this page. Be sure to encode your name, student number and SECTION NUMBER
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 informationFundamental Counting Principle
Lesson 88 Probability with Combinatorics HL2 Math  Santowski Fundamental Counting Principle Fundamental Counting Principle can be used determine the number of possible outcomes when there are two or more
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 wellshuffled deck g) rolling a number with two dice 3. Given the following probability
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 informationWEEK 11 REVIEW ( and )
Math 141 Review 1 (c) 2014 J.L. Epstein WEEK 11 REVIEW (7.5 7.6 and 8.1 8.2) Conditional Probability (7.5 7.6) P E F is the probability of event E occurring given that event F has occurred. Notation: (
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 informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 1332 Review Test 4 Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem by applying the Fundamental Counting Principle with two
More information1. Theoretical probability is what should happen (based on math), while probability is what actually happens.
Name: Date: / / QUIZ DAY! FillintheBlanks: 1. Theoretical probability is what should happen (based on math), while probability is what actually happens. 2. As the number of trials increase, the experimental
More 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 information1324 Test 1 Review Page 1 of 10
1324 Test 1 Review Page 1 of 10 Review for Exam 1 Math 1324 TTh Chapters 7, 8 Problems 110: Determine whether the statement is true or false. 1. {5} {4,5, 7}. 2. {4,5,7}. 3. {4,5} {4,5,7}. 4. {4,5} {4,5,7}
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 informationProbability MAT230. Fall Discrete Mathematics. MAT230 (Discrete Math) Probability Fall / 37
Probability MAT230 Discrete Mathematics Fall 2018 MAT230 (Discrete Math) Probability Fall 2018 1 / 37 Outline 1 Discrete Probability 2 Sum and Product Rules for Probability 3 Expected Value MAT230 (Discrete
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 1342 Practice Test 2 Ch 4 & 5 Name 1) Nanette must pass through three doors as she walks from her company's foyer to her office. Each of these doors may be locked or unlocked. 1) List the outcomes
More informationLenarz Math 102 Practice Exam # 3 Name: 1. A 10sided die is rolled 100 times with the following results:
Lenarz Math 102 Practice Exam # 3 Name: 1. A 10sided die is rolled 100 times with the following results: Outcome Frequency 1 8 2 8 3 12 4 7 5 15 8 7 8 8 13 9 9 10 12 (a) What is the experimental probability
More informationUniversity of Connecticut Department of Mathematics
University of Connecticut Department of Mathematics Math 1070 Sample Exam 2 Fall 2014 Name: Instructor Name: Section: Exam 2 will cover Sections 4.64.7, 5.35.4, 6.16.4, and F.1F.3. This sample exam
More informationPage 1 of 22. Website: Mobile:
Exercise 15.1 Question 1: Complete the following statements: (i) Probability of an event E + Probability of the event not E =. (ii) The probability of an event that cannot happen is. Such as event is called.
More informationNorth Seattle Community College Winter ELEMENTARY STATISTICS 2617 MATH Section 05, Practice Questions for Test 2 Chapter 3 and 4
North Seattle Community College Winter 2012 ELEMENTARY STATISTICS 2617 MATH 109  Section 05, Practice Questions for Test 2 Chapter 3 and 4 1. Classify each statement as an example of empirical probability,
More informationSection : Combinations and Permutations
Section 11.111.2: Combinations and Permutations Diana Pell A construction crew has three members. A team of two must be chosen for a particular job. In how many ways can the team be chosen? How many words
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 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 informationSection 5.4 Permutations and Combinations
Section 5.4 Permutations and Combinations Definition: nfactorial For any natural number n, n! n( n 1)( n 2) 3 2 1. 0! = 1 A combination of a set is arranging the elements of the set without regard to
More informationEXAM. Exam #1. Math 3371 First Summer Session June 12, 2001 ANSWERS
EXAM Exam #1 Math 3371 First Summer Session 2001 June 12, 2001 ANSWERS i Give answers that are dollar amounts rounded to the nearest cent. Here are some possibly useful formulas: A = P (1 + rt), A = P
More information2. Let E and F be two events of the same sample space. If P (E) =.55, P (F ) =.70, and
c Dr. Patrice Poage, August 23, 2017 1 1324 Exam 1 Review NOTE: This review in and of itself does NOT prepare you for the test. You should be doing this review in addition to all your suggested homework,
More information3 The multiplication rule/miscellaneous counting problems
Practice for Exam 1 1 Axioms of probability, disjoint and independent events 1 Suppose P (A 0, P (B 05 (a If A and B are independent, what is P (A B? What is P (A B? (b If A and B are disjoint, what is
More informationChapter 5 Probability
Chapter 5 Probability Math150 What s the likelihood of something occurring? Can we answer questions about probabilities using data or experiments? For instance: 1) If my parking meter expires, I will probably
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. 1) The letters "A", "B", "C", "D", "E", and "F" are written on six slips of paper, and the
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 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 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 informationSection 5.4 Permutations and Combinations
Section 5.4 Permutations and Combinations Definition: nfactorial For any natural number n, n! = n( n 1)( n 2) 3 2 1. 0! = 1 A combination of a set is arranging the elements of the set without regard to
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Chapter 3: Practice SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. ) A study of 000 randomly selected flights of a major
More informationLesson 3 Dependent and Independent Events
Lesson 3 Dependent and Independent Events When working with 2 separate events, we must first consider if the first event affects the second event. Situation 1 Situation 2 Drawing two cards from a deck
More informationMath 12 Academic Assignment 9: Probability Outcomes: B8, G1, G2, G3, G4, G7, G8
Math 12 Academic Assignment 9: Probability Outcomes: B8, G1, G2, G3, G4, G7, G8 Name: 45 1. A customer chooses 5 or 6 tapes from a bin of 40. What is the expression that gives the total number of possibilities?
More information23 Applications of Probability to Combinatorics
November 17, 2017 23 Applications of Probability to Combinatorics William T. Trotter trotter@math.gatech.edu Foreword Disclaimer Many of our examples will deal with games of chance and the notion of gambling.
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 information1. How many subsets are there for the set of cards in a standard playing card deck? How many subsets are there of size 8?
Math 1711A Summer 2016 Final Review 1 August 2016 Time Limit: 170 Minutes Name: 1. How many subsets are there for the set of cards in a standard playing card deck? How many subsets are there of size 8?
More informationReview. Natural Numbers: Whole Numbers: Integers: Rational Numbers: Outline Sec Comparing Rational Numbers
FOUNDATIONS Outline Sec. 31 Gallo Name: Date: Review Natural Numbers: Whole Numbers: Integers: Rational Numbers: Comparing Rational Numbers Fractions: A way of representing a division of a whole into
More 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 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 informationMATH 2000 TEST PRACTICE 2
MATH 2000 TEST PRACTICE 2 1. Maggie watched 100 cars drive by her window and compiled the following data: Model Number Ford 23 Toyota 25 GM 18 Chrysler 17 Honda 17 What is the empirical probability that
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 information1. How to identify the sample space of a probability experiment and how to identify simple events
Statistics Chapter 3 Name: 3.1 Basic Concepts of Probability Learning objectives: 1. How to identify the sample space of a probability experiment and how to identify simple events 2. How to use the Fundamental
More informationMATH 215 DISCRETE MATHEMATICS INSTRUCTOR: P. WENG
MATH DISCRETE MATHEMATICS INSTRUCTOR: P. WENG Counting and Probability Suggested Problems Basic Counting Skills, InclusionExclusion, and Complement. (a An office building contains 7 floors and has 7 offices
More informationChapter 4: Probability
Student Outcomes for this Chapter Section 4.1: Contingency Tables Students will be able to: Relate Venn diagrams and contingency tables Calculate percentages from a contingency table Calculate and empirical
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 informationQ1) 6 boys and 6 girls are seated in a row. What is the probability that all the 6 gurls are together.
Required Probability = where Q1) 6 boys and 6 girls are seated in a row. What is the probability that all the 6 gurls are together. Solution: As girls are always together so they are considered as a group.
More informationSection 6.1 #16. Question: What is the probability that a fivecard poker hand contains a flush, that is, five cards of the same suit?
Section 6.1 #16 What is the probability that a fivecard 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 informationThe Teachers Circle Mar. 20, 2012 HOW TO GAMBLE IF YOU MUST (I ll bet you $5 that if you give me $10, I ll give you $20.)
The Teachers Circle Mar. 2, 22 HOW TO GAMBLE IF YOU MUST (I ll bet you $ that if you give me $, I ll give you $2.) Instructor: Paul Zeitz (zeitzp@usfca.edu) Basic Laws and Definitions of Probability If
More informationDate. Probability. Chapter
Date Probability Contests, lotteries, and games offer the chance to win just about anything. You can win a cup of coffee. Even better, you can win cars, houses, vacations, or millions of dollars. Games
More informationA B C. 142 D. 96
Data Displays and Analysis 1. stem leaf 900 3 3 4 5 7 9 901 1 1 1 2 4 5 6 7 8 8 8 9 9 902 1 3 3 3 4 6 8 9 9 903 1 2 2 3 3 3 4 7 8 9 904 1 1 2 4 5 6 8 8 What is the range of the data shown in the stemandleaf
More information1. An office building contains 27 floors and has 37 offices on each floor. How many offices are in the building?
1. An office building contains 27 floors and has 37 offices on each floor. How many offices are in the building? 2. A particular brand of shirt comes in 12 colors, has a male version and a female version,
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 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 information1) 1) 2) 2) 3) 3) 4) 4) 5) 5) 6) 6) 7) 7) 8) 8) 9) 9) 10) 10) 11) 11) 12) 12)
Review Test 1 Math 1332 Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Write a word description of the set. 1) 1) {26, 28, 30, 32,..., 100} List
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 informationFinite Mathematics MAT 141: Chapter 8 Notes
Finite Mathematics MAT 4: Chapter 8 Notes Counting Principles; More David J. Gisch The Multiplication Principle; Permutations Multiplication Principle Multiplication Principle You can think of the multiplication
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 information