MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.


 Joseph Harrison
 1 years ago
 Views:
Transcription
1 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 number between 19 and 39} A) 1024 B) 128 C)7 D) 38 1) Insert " " or " " in the blank to make the statement true. 2) {5, 7, 9} {x x is an odd counting number} A) B) 2) 3) {e, d, j, h} {e, d, j, h, m} A) B) 3) 4) Jose is applying to college. He receives information on 9 different colleges. He will apply to all of those he likes. He may like none of them, all of them, or any combination of them. How many possibilities are there for the set of colleges that he applies to? A) 9 B) 508 C)16 D) 512 4) Shade the Venn diagram to represent the set. 5) A' B' 5) A) B) C) D) 1
2 6) (A B C')' 6) A) B) C) D) Use the union rule to answer the question. 7) If n(a) = 10, n(a B) = 28, and n(a B) = 6; what is n(b)? A) 23 B) 18 C)25 D) 24 7) 8) If n(a) = 6, n(b) = 13, and n(a B) = 4; what is n(a B)? A) 14 B) 15 C)19 D) 16 8) Use a Venn Diagram and the given information to determine the number of elements in the indicated region. 9) n(u) = 114, n(a)= 36, n(b) = 56, n(a B) = 13, n(a C) = 16, n(a B C) = 7, n(a' B C') = 36, and 9) n(a' B' C') = 27. Find n(c). A) 8 B) 17 C)24 D) 31 Use a Venn diagram to answer the question. 10) At East Zone University (EZU) there are 627 students taking College Algebra or Calculus. 417 are taking College Algebra, 261 are taking Calculus, and 51 are taking both College Algebra and Calculus. How many are taking Algebra but not Calculus? A) 576 B) 366 C)315 D) ) 2
3 11) A survey of 128 college students was done to find out what elective courses they were taking. Let A = the set of those taking art; B = the set of those taking basket weaving; and C = the set of those taking canoeing. The study revealed the following information: n(a) = 45; n(b) = 55; n(c) = 40; n(a B) = 12; n(a C) = 15; n(b C) = 23; n(a B C) = 2. How many students were not taking any of these electives? A) 10 B) 38 C)46 D) 36 11) Write the sample space for the given experiment. 12) A card is selected at random from a deck and its suit is recorded. Then a coin is tossed. A) {(4, 2)} B) {(club, diamond, heart, spade, head, tail)} C){(head, spade), (head, club), (head, heart), (head, diamond), (tail, spade), (tail, club), (tail, heart), (tail, diamond)} D) {(spade, head), (club, head), (heart, head), (diamond, head), (spade, tail), (club, tail), (heart, tail), (diamond, tail)} 12) A die is rolled twice. Write the indicated event in set notation. 13) The first roll is a 4. A) {(4, 3)} B) {(4, 1), (4, 2), (4, 4), (4, 5), (4, 6)} C){(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)} D) {(4, 1), (4, 3), (4, 5)} 13) 14) The sum of the rolls is 8. A) {(2, 6), (3, 5), (5, 3), (6, 2)} B) {(4, 4)} C){(2, 6), (3, 5), (4, 4)} D) {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)} 14) Find the probability of the given event. 15) A single fair die is rolled. The number on the die is greater than 2. 15) A) 1 6 B) 2 3 C) 1 3 D) 5 6 Find the probability. 16) When a single card is drawn from a wellshuffled 52card deck, find the probability of getting a red card. 1 A) 2 B) C) 1 D) ) Find the probability of the given event. 17) A single fair die is rolled. The number on the die is a multiple of 3. 17) A) 1 6 B) 1 3 C) 1 36 D) 1 2 Find the probability. 18) A card is drawn from a wellshuffled deck of 52 cards. What is the probability of drawing a heart, club, or diamond? A) 3 4 B) C)3 D) ) 3
4 19) A bag contains 6 red marbles, 9 blue marbles, and 4 green marbles. What is the probability that a randomly selected marble is blue? A) 9 4 B) C) 3 6 D) ) 20) A lottery game has balls numbered 1 through 19. What is the probability that a randomly selected ball is an even numbered ball or a 4? A) 9 B) 19 C) 4 D) ) Find the indicated probability. 21) The age distribution of students at a community college is given below. 21) Age (years) Number of students (f) Under Over A student from the community college is selected at random. Find the probability that the student is at least 31. Round your answer to three decimal places. A) 74 B) C) D) ) The distribution of B.A. degrees conferred by a local college is listed below, by major. 22) Major Frequency English 2073 Mathematics 2164 Chemistry 318 Physics 856 Liberal Arts 1358 Business 1676 Engineering What is the probability that a randomly selected degree is in Engineering? A) B) C) D) 868 Determine whether the given events are mutually exclusive. 23) Going to the beach and staying home at 2 pm on your birthday A) Yes B) No 23) 24) Being a teenager and being a United States Senator A) Yes B) No 24) 4
5 Find the indicated probability. 25) Find the probability that either a 6 or a 3 is obtained when a fair die is rolled. A) 2 B) 1 2 C) 1 3 D) 1 25) 26) Find the probability that the sum is no more than 6 when two fair dice are rolled. A) 17 5 B) C) D) ) 27) When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 4. A) 1 7 B) C) 2 1 D) ) 28) When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the first die is 3 or that doubles are rolled. A) 5 B) 11 C) 1 D) ) Use a Venn diagram to find the indicated probability. 29) If P(A B) = 0.63, P(A) = 0.32, and P(B) = 0.46, find P(A B). A) 0.27 B) 0.56 C) 0.15 D) ) 30) Suppose P(B) = 0.72, P(C) = 0.47, and P(B C) = Find P(B' C'). A) 0.58 B) 0.68 C) 0.26 D) ) Find the odds. 31) Find the odds in favor of drawing a 1 when a card is drawn at random from the cards pictured below. 31) A) 1 to 4 B) 4 to 1 C)1 to 5 D) 5 to 1 32) Find the odds in favor of drawing an even number when a card is drawn at random from the cards shown below. 32) A) 5 to 2 B) 2 to 3 C)3 to 2 D) 2 to 5 33) A survey revealed that 38% of people are entertained by reading books, 27% are entertained by watching TV, and 35% are entertained by both books and TV. What is the probability that a person will be entertained by either books or TV? Express the answer as a percentage. A) 35% B) 100% C) 30% D) 65% 33) 5
6 34) A poll is conducted in a U.S. city to determine voting preferences prior to a presidential election. The following probabilities were obtained from the relative frequencies: P(D) = 0.51, P(M D) = 0.22, P(M D) = 0.77 where M represents male and D represents a person who plans to vote Democrat. Find P(M' D). A) 0.74 B) 0.52 C) 0.29 D) ) 35) If a single fair die is rolled, find the probability of a 4 given that the number rolled is odd. 35) A) 1 2 B) 1 C)0 D) ) If two cards are drawn without replacement from an ordinary deck, find the probability that the second card is red, given that the first card was a heart. A) B) C) 4 17 D) ) Find the indicated probability. 37) Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. Find the probability that both marbles are red. A) 1 4 B) 3 56 C) 1 28 D) ) 38) Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. Find the probability that both marbles are white. A) 3 B) 3 C) 9 3 D) ) Find the probability. 39) If 80% of scheduled flights actually take place and cancellations are independent events, what is the probability that 3 separate flights will all take place? A) 0.01 B) 0.64 C) 0.51 D) ) 40) A calculator requires a keystroke assembly and a logic circuit. Assume that 96% of the keystroke assemblies and 88% of the logic circuits are satisfactory. Find the probability that a finished calculator will be satisfactory. Assume that defects in keystroke assemblies are independent of defects in logic circuits. A) B) C) D) ) 41) 38% of a store's computers come from factory A and the remainder come from factory B. 1% of computers from factory A are defective while 4% of computers from factory B are defective. If one of the store's computers is selected at random, what is the probability that it is defective and from factory B? A) 0.04 B) 0.66 C) D) ) 6
7 42) 56% of a store's computers come from factory A and the remainder come from factory B. 2% of computers from factory A are defective while 1% of computers from factory B are defective. If one of the store's computers is selected at random, what is the probability that it is not defective and from factory A? A) B) C) 0.98 D) ) Find the probability. 43) Assuming that boy and girl babies are equally likely, find the probability that a family with three children has all boys given that the first two are boys. 43) A) 1 B) 1 2 C) 1 8 D) ) Assuming that boy and girl babies are equally likely, find the probability that a family with four children has all boys given that the first is a boy. 44) A) 1 16 B) 0 C) 1 8 D) 1 4 Solve the problem using Bayes' Theorem. Round the answer to the nearest hundredth, if necessary. 45) For two events M and N, P(M) = 0.5, P(N M) = 0.6, and P(N M') = 0.5. Find P(M N). A) 0 B) 1.0 C)0.55 D) ) 46) For mutually exclusive events X1, X2, and X3, let P(X1) = 0.26, P(X2) = 0.25, and P(X3) = Also, P(Y X1) = 0.40, P(Y X2) = 0.30 and P(Y X3) = Find P(X3 Y). A) 0.16 B) 0.62 C) 0.41 D) ) Use Bayes' rule to find the indicated probability. 47) 53% of the workers at Motor Works are female, while 31% of the workers at City Bank are female. If one of these companies is selected at random (assume a chance for each), and then a worker is selected at random, what is the probability that the worker is female, given that the worker comes from City Bank? A) 26.5% B) 15.5% C) 53% D) 16.4% 47) 48) Two stores sell a certain product. Store A has 44% of the sales, 5% of which are of defective items, and store B has 56% of the sales, 3% of which are of defective items. The difference in defective rates is due to different levels of presale checking of the product. A person receives a defective item of this product as a gift. What is the probability it came from store B? A) B) C) 0.42 D) ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 49) To find P(A B) using Bayes' theorem, what conditional probability occurs in the numerator? 49) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 50) Suppose there are 5 roads connecting town A to town B and 8 roads connecting town B to town C. In how many ways can a person travel from A to C via B? A) 64 ways B) 40 ways C)13 ways D) 25 ways 50) 7
8 Write the sample space for the given experiment. 51) A box contains 2 blue cards numbered 1 through 2, and 3 green cards numbered 1 through 3. A blue card is picked, followed by a green card. A) {7} B) {(1, 1), (1, 2), (2, 1), (2, 2), (3, 1), (3, 2)} C){(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3)} D) {12} 51) 52) How many 6digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed? A) 899,999 sixdigit numbers B) 900,000 sixdigit numbers C) 46,656 sixdigit numbers D) 1,000,000 sixdigit numbers 52) How many distinguishable permutations of letters are possible in the word? 53) BASEBALL A) 20,160 B) 5040 C) 10,080 D) 40,320 53) 54) GIGGLE A) 720 B) 4320 C)120 D) 36 54) 55) How many ways can a committee of 2 be selected from a club with 12 members? A) 2 ways B) 66 ways C)132 ways D) 33 ways 55) 56) A group of five entertainers will be selected from a group of twenty entertainers that includes Small and Trout. In how many ways could the group of five include at least one of the entertainers Small and Trout? A) 6936 ways B) 15,504 ways C) 11,628 ways D) 8568 ways 56) Decide whether the situation involves permutations or combinations. 57) A batting order for 9 players for a baseball game. A) Permutation B) Combination 57) 58) A blend of 2 spices taken from 8 spices on a spice rack. A) Permutation B) Combination 58) 59) A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many ways can you get 4 apples? A) 10 ways B) 8 ways C)15 ways D) 5 ways 59) Find the requested probability. 60) A family has five children. The probability of having a girl is 1/2. What is the probability of having exactly 2 girls and 3 boys? A) B) C) D) ) 61) A family has five children. The probability of having a girl is 1/2. What is the probability of having at least 4 girls? A) B) C) D) ) 8
9 62) A coin is biased to show 39% heads and 61% tails. The coin is tossed twice. What is the probability that the coin turns up tails on both tosses? A) 37.21% B) 22% C) 39% D) 61% 62) Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability. 63) Three coins are tossed, and the number of tails is noted. 63) A) B) C) D) x P(x) 0 3/16 1 5/16 2 5/16 3 3/16 x P(x) 0 1/8 1 3/8 2 3/8 3 1/8 x P(x) 0 1/3 1 1/6 2 1/6 3 1/3 x P(x) 0 1/6 1 1/3 2 1/3 3 1/6 Find the requested probability. 64) A coin is biased to show 41% heads and 59% tails. The coin is tossed twice. What is the probability that the coin turns up heads on the second toss? A) 41% B) 24.19% C) 59% D) 16.81% 64) 9
10 Answer Key Testname: UNTITLED1 1) A 2) B 3) A 4) D 5) B 6) C 7) D 8) B 9) D 10) B 11) D 12) D 13) C 14) D 15) B 16) C 17) B 18) A 19) A 20) A 21) B 22) C 23) A 24) A 25) C 26) B 27) C 28) B 29) C 30) B 31) A 32) B 33) C 34) A 35) C 36) D 37) C 38) A 39) C 40) D 41) D 42) D 43) B 44) C 45) C 46) B 47) B 48) B 49) P(B A) 50) B 10
11 Answer Key Testname: UNTITLED1 51) C 52) D 53) B 54) C 55) B 56) A 57) A 58) B 59) D 60) C 61) B 62) A 63) B 64) A 11
MATH 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 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 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 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 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 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 informationMATH 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 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 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 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 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 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 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 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 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 informationSection Introduction to Sets
Section 1.1  Introduction to Sets Definition: A set is a welldefined collection of objects usually denoted by uppercase letters. Definition: The elements, or members, of a set are denoted by lowercase
More informationExam 2 Review (Sections Covered: 3.1, 3.3, , 7.1) 1. Write a system of linear inequalities that describes the shaded region.
Exam 2 Review (Sections Covered: 3.1, 3.3, 6.16.4, 7.1) 1. Write a system of linear inequalities that describes the shaded region. 5x + 2y 30 x + 2y 12 x 0 y 0 2. Write a system of linear inequalities
More informationMath 146 Statistics for the Health Sciences Additional Exercises on Chapter 3
Math 46 Statistics for the Health Sciences Additional Exercises on Chapter 3 Student Name: Find the indicated probability. ) If you flip a coin three times, the possible outcomes are HHH HHT HTH HTT THH
More informationSuch a description is the basis for a probability model. Here is the basic vocabulary we use.
5.2.1 Probability Models When we toss a coin, we can t know the outcome in advance. What do we know? We are willing to say that the outcome will be either heads or tails. We believe that each of these
More 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 informationExam 2 Review F09 O Brien. Finite Mathematics Exam 2 Review
Finite Mathematics Exam Review Approximately 5 0% of the questions on Exam will come from Chapters, 4, and 5. The remaining 70 75% will come from Chapter 7. To help you prepare for the first part of the
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 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 informationMath 1070 Sample Exam 1
University of Connecticut Department of Mathematics Math 1070 Sample Exam 1 Exam 1 will cover sections 4.14.7 and 5.15.4. This sample exam is intended to be used as one of several resources to help you
More informationWorksheets for GCSE Mathematics. Probability. mrmathematics.com Maths Resources for Teachers. Handling Data
Worksheets for GCSE Mathematics Probability mrmathematics.com Maths Resources for Teachers Handling Data Probability Worksheets Contents Differentiated Independent Learning Worksheets Probability Scales
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 informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) 1 6
Math 300 Exam 4 Review (Chapter 11) Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Give the probability that the spinner shown would land on
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 informationMath 147 Elementary Probability/Statistics I Additional Exercises on Chapter 4: Probability
Math 147 Elementary Probability/Statistics I Additional Exercises on Chapter 4: Probability Student Name: Find the indicated probability. 1) If you flip a coin three times, the possible outcomes are HHH
More informationInstructions: Choose the best answer and shade in the corresponding letter on the answer sheet provided. Be sure to include your name and student ID.
Math 3201 Unit 3 Probability Test 1 Unit Test Name: Part 1 Selected Response: Instructions: Choose the best answer and shade in the corresponding letter on the answer sheet provided. Be sure to include
More informationChapter 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 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 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 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 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 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 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 informationProbability Review 41
Probability Review 41 For the following problems, give the probability to four decimals, or give a fraction, or if necessary, use scientific notation. Use P(A) = 1  P(not A) 1) A coin is tossed 6 times.
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 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 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 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 informationMath Exam 2 Review. NOTE: For reviews of the other sections on Exam 2, refer to the first page of WIR #4 and #5.
Math 166 Spring 2007 c Heather Ramsey Page 1 Math 166  Exam 2 Review NOTE: For reviews of the other sections on Exam 2, refer to the first page of WIR #4 and #5. Section 7.1  Experiments, Sample Spaces,
More informationMath Exam 2 Review. NOTE: For reviews of the other sections on Exam 2, refer to the first page of WIR #4 and #5.
Math 166 Spring 2007 c Heather Ramsey Page 1 Math 166  Exam 2 Review NOTE: For reviews of the other sections on Exam 2, refer to the first page of WIR #4 and #5. Section 7.1  Experiments, Sample Spaces,
More informationApplied Statistics I
Applied Statistics I Liang Zhang Department of Mathematics, University of Utah June 12, 2008 Liang Zhang (UofU) Applied Statistics I June 12, 2008 1 / 29 In Probability, our main focus is to determine
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 informationTextbook: pp Chapter 2: Probability Concepts and Applications
1 Textbook: pp. 3980 Chapter 2: Probability Concepts and Applications 2 Learning Objectives After completing this chapter, students will be able to: Understand the basic foundations of probability analysis.
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 informationName: Section: Date:
WORKSHEET 5: PROBABILITY Name: Section: Date: Answer the following problems and show computations on the blank spaces provided. 1. In a class there are 14 boys and 16 girls. What is the probability of
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 informationMathematical Foundations HW 5 By 11:59pm, 12 Dec, 2015
1 Probability Axioms Let A,B,C be three arbitrary events. Find the probability of exactly one of these events occuring. Sample space S: {ABC, AB, AC, BC, A, B, C, }, and S = 8. P(A or B or C) = 3 8. note:
More information4. Are events C and D independent? Verify your answer with a calculation.
Honors Math 2 More Conditional Probability Name: Date: 1. A standard deck of cards has 52 cards: 26 Red cards, 26 black cards 4 suits: Hearts (red), Diamonds (red), Clubs (black), Spades (black); 13 of
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 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 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 informationDetermine whether the given events are disjoint. 4) Being over 30 and being in college 4) A) No B) Yes
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}
More information8.2 Union, Intersection, and Complement of Events; Odds
8.2 Union, Intersection, and Complement of Events; Odds Since we defined an event as a subset of a sample space it is natural to consider set operations like union, intersection or complement in the context
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 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 informationDefine and Diagram Outcomes (Subsets) of the Sample Space (Universal Set)
12.3 and 12.4 Notes Geometry 1 Diagramming the Sample Space using Venn Diagrams A sample space represents all things that could occur for a given event. In set theory language this would be known as the
More 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 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 informationSTANDARD COMPETENCY : 1. To use the statistics rules, the rules of counting, and the characteristic of probability in problem solving.
Worksheet 4 th Topic : PROBABILITY TIME : 4 X 45 minutes STANDARD COMPETENCY : 1. To use the statistics rules, the rules of counting, and the characteristic of probability in problem solving. BASIC COMPETENCY:
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 informationSection 7.1 Experiments, Sample Spaces, and Events
Section 7.1 Experiments, Sample Spaces, and Events Experiments An experiment is an activity with observable results. 1. Which of the follow are experiments? (a) Going into a room and turning on a light.
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 informationUnit 6: Probability. Marius Ionescu 10/06/2011. Marius Ionescu () Unit 6: Probability 10/06/ / 22
Unit 6: Probability Marius Ionescu 10/06/2011 Marius Ionescu () Unit 6: Probability 10/06/2011 1 / 22 Chapter 13: What is a probability Denition The probability that an event happens is the percentage
More informationGrade 6 Math Circles Fall Oct 14/15 Probability
1 Faculty of Mathematics Waterloo, Ontario Centre for Education in Mathematics and Computing Grade 6 Math Circles Fall 2014  Oct 14/15 Probability Probability is the likelihood of an event occurring.
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 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 informationUnit 6: Probability. Marius Ionescu 10/06/2011. Marius Ionescu () Unit 6: Probability 10/06/ / 22
Unit 6: Probability Marius Ionescu 10/06/2011 Marius Ionescu () Unit 6: Probability 10/06/2011 1 / 22 Chapter 13: What is a probability Denition The probability that an event happens is the percentage
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 informationStatistics Intermediate Probability
Session 6 oscardavid.barrerarodriguez@sciencespo.fr April 3, 2018 and Sampling from a Population Outline 1 The Monty Hall Paradox Some Concepts: Event Algebra Axioms and Things About that are True Counting
More information, the of all of a probability experiment. consists of outcomes. (b) List the elements of the event consisting of a number that is greater than 4.
41 Sample Spaces and Probability as a general concept can be defined as the chance of an event occurring. In addition to being used in games of chance, probability is used in the fields of,, and forecasting,
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 informationConditional Probability Worksheet
Conditional Probability Worksheet P( A and B) P(A B) = P( B) Exercises 36, compute the conditional probabilities P( AB) and P( B A ) 3. P A = 0.7, P B = 0.4, P A B = 0.25 4. P A = 0.45, P B = 0.8, P A
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 informationAxiomatic Probability
Axiomatic Probability The objective of probability is to assign to each event A a number P(A), called the probability of the event A, which will give a precise measure of the chance thtat A will occur.
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 information05 Adding Probabilities. 1. CARNIVAL GAMES A spinner has sections of equal size. The table shows the results of several spins.
1. CARNIVAL GAMES A spinner has sections of equal size. The table shows the results of several spins. d. a. Copy the table and add a column to show the experimental probability of the spinner landing on
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 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 informationChapter 5: Probability: What are the Chances? Section 5.2 Probability Rules
+ Chapter 5: Probability: What are the Chances? Section 5.2 + TwoWay Tables and Probability When finding probabilities involving two events, a twoway table can display the sample space in a way that
More informationMath 227 Elementary Statistics. Bluman 5 th edition
Math 227 Elementary Statistics Bluman 5 th edition CHAPTER 4 Probability and Counting Rules 2 Objectives Determine sample spaces and find the probability of an event using classical probability or empirical
More informationAnswer each of the following problems. Make sure to show your work.
Answer each of the following problems. Make sure to show your work. 1. A board game requires each player to roll a die. The player with the highest number wins. If a player wants to calculate his or her
More informationChapter 4: Probability and Counting Rules
Chapter 4: Probability and Counting Rules Before we can move from descriptive statistics to inferential statistics, we need to have some understanding of probability: Ch4: Probability and Counting Rules
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 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 Date Class. 2. dime. 3. nickel. 6. randomly drawing 1 of the 4 S s from a bag of 100 Scrabble tiles
Name Date Class Practice A Tina has 3 quarters, 1 dime, and 6 nickels in her pocket. Find the probability of randomly drawing each of the following coins. Write your answer as a fraction, as a decimal,
More 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 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 informationQuiz 2 Review  on Notebook Paper Are You Ready For Your Last Quiz In Honors Math II??
Quiz 2 Review  on Notebook Paper Are You Ready For Your Last Quiz In Honors Math II?? Some things to Know, Memorize, AND Understand how to use are n What are the formulas? Pr ncr Fill in the notation
More informationChapter 3: Elements of Chance: Probability Methods
Chapter 3: Elements of Chance: Methods Department of Mathematics Izmir University of Economics Week 34 20142015 Introduction In this chapter we will focus on the definitions of random experiment, outcome,
More information1. A factory makes calculators. Over a long period, 2 % of them are found to be faulty. A random sample of 100 calculators is tested.
1. A factory makes calculators. Over a long period, 2 % of them are found to be faulty. A random sample of 0 calculators is tested. Write down the expected number of faulty calculators in the sample. Find
More informationProbability and Randomness. Day 1
Probability and Randomness Day 1 Randomness and Probability The mathematics of chance is called. The probability of any outcome of a chance process is a number between that describes the proportion of
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 informationIndependent and Mutually Exclusive Events
Independent and Mutually Exclusive Events By: OpenStaxCollege Independent and mutually exclusive do not mean the same thing. Independent Events Two events are independent if the following are true: P(A
More 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 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 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 information