SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Size: px
Start display at page:

Download "SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question."

Transcription

1 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 of the sample space. 2) If two dice are rolled one time, find the probability of getting a sum of 6. 2) 3) Box A contains the numbers 1, 2, 3, and 4. Box B contains the numbers 5, 6, 7, and 8. A number is first drawn from Box A and then another number from Box B. Using the figure below, how many outcomes are possible if both numbers are even? 3) 4) There are 27,842 undergraduate students enrolled at a certain university. The age distribution is as follows: 4) Age Range Number , and up 6660 Total 27,842 What is the probability that a student is between 23 and 30 years old? 1

2 5) A 12-sided die can be made from a geometric solid called a dodecahedron. Assume that a fair dodecahedron is rolled. 5) The sample space is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Find P(Greater than 4). 6) A single card is drawn from a deck. Find the probability of selecting a heart or a 8. 6) 7) An apartment building has the following distribution of apartments: 7) 1 bedroom 2 bedroom 3 bedroom 1st floor nd floor rd floor If an apartment is selected at random, what is the probability that it is on the 2nd floor or has 2 bedrooms? 8) If one card is drawn from an ordinary deck of cards, what is the probability that the card will be an ace, a king of hearts, or a spade? 9) On a certain day, a cheese packaging facility packaged 490 units of mozzarella cheese. Some of these packages had major flaws, some had minor flaws, and some had both major and minor flaws. The following table presents the results. 8) 9) Minor Flaw No Minor Flaw Major Flaw No Major Flaw Find the probability that randomly chosen cheese package has a major flaw. 10) Let A and B be events with P(A) = 0.7, P(B) = 0.3, and P(B A) = 0.2. Find P(A and B). 11) Let A, B and C be independent events with P(A) = 0.1, P(B) = 0.7, and P(C) = 0.9. Find P(A and B and C). 12) A fair coin is tossed four times. What is the probability that the sequence of tosses is HHHT? 10) 11) 12) 2

3 13) Below are listed the numbers of engineers in various fields by sex. Choose one engineer at random. Find P(electrical male). Mechanical Electrical Biomedical Male Female ) 14) Evaluate the permutation: 10 P 8 14) 15) Evaluate the combination: 12 C 8 15) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 16) The number of different arrangements of four pictures from a selection of ten pictures is 5,040. A) False B) True 16) 17) There are 3 different mathematics courses, 3 different science courses, and 5 different history courses. If a student must take one of each, how many different ways can this be done? 18) On a TV game show, a contestant is shown 8 products from a grocery store and is asked to choose the three least-expensive items in the set. The three chosen items need not be in any particular order. In how many ways can the contestant choose the three items? 19) A bookcase contains 2 statistics books and 5 biology books. If 2 books are chosen at random, the chance that both are statistics books is 20) A committee consist of 8 women and 11 men. Three members are chosen as officers. What is the probability that all three officers are women? 21) Determine whether the table represents a discrete probability distribution. 17) 18) 19) 20) 21) x P(x)

4 22) Fill in the missing value so that the following table represents a probability distribution. 22) x P(x) ? ) The following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen family. Find P(1 or more). 23) x P(x) ) A survey asked 851 people how many times per week they dine out at a restaurant. The results are presented in the following table. 24) Number of Times Frequency Total 851 Consider the 851 people to be a population. Let X be the number of times per week a person dines out for a person sampled at random from this population. Find the probability that a person does not dine out at all. 25) For the following data, construct a graph showing the probability distribution. X P(X) ) 26) Construct the probability distribution for the number of heads obtained when tossing four coins. Draw a graph of the distribution. 26) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 27) Continuous random variables are obtained from data that can be measured rather than counted. A) True B) False 27) 4

5 28) Determine whether the random variable described is discrete or continuous. The total value of a set of coins 29) Determine whether the table represents a discrete probability distribution. 28) 29) x P(x) ) If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20. The cost to play the game is $5. What is the expectation of this game? 31) The number of cartoons watched on Saturday mornings by students in Mrs. Kelly's first grade class is shown below. 30) 31) Number of cartoons watched X Probability P(X) Give the standard deviation for the probability distribution. 32) The number of cartoons watched on Saturday mornings by students in Mrs. Kelly's first grade class is shown below. 32) Number of cartoons watched X Probability P(X) What is the mean of the data? 33) Compute the mean of the random variable with the given discrete probability distribution. 33) x P(x)

6 34) Compute the probability of X successes. n = 5, X = 4, p = ) 35) Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. n = 11, p = 0.7, P(9) 35) 36) Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. n =12, p = 0.7, P(3 or fewer) 36) 37) The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 45% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 19 adult dogs is studied. What is the mean number of dogs who weigh 65 lb or more? 37) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 38) Using the probability distribution listed, the mean would be ) X P(X) A) False B) True 39) A computer store has 75 printers of which 25 are laser printers and 50 are ink jet printers. If a group of 10 printers is chosen at random from the store, find the mean and variance of the number of ink jet printers. 39) 40) A bag contains 30 white marbles and 30 black marbles. If 8 marbles are chosen, what is the probability that there will be 2 white marbles and 6 black marbles? 40) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 41) The probability that a Poisson random variable X is equal to 4, where = 7, is 41) A) 11! 7!4! B) e ! C) e ! D) 7!4! 11! 42) Give the variance of the following distribution? 42) X P(X)

7 Answer Key Testname: MATH 1342 PRAC TEST 2 FL_18_SA 1) {LLL, LLU, LUL, LUU, ULL, ULU, UUL, UUU} 5 2) 36 3) 4 4) ) 2/3 4 6) 13 7) ) ) ) ) ) ) ) 1,814,400 15) ) B 17) 45 18) ) 21 20) ) No 22) ) )

8 Answer Key Testname: MATH 1342 PRAC TEST 2 FL_18_SA 25) 26) Number of Heads X Probability P(X) ) A 28) discrete 29) No 30) $ ) ) )

9 Answer Key Testname: MATH 1342 PRAC TEST 2 FL_18_SA 34) ) ) ) ) A 39) Mean = 6.7, Variance = ) 30 C 2 30 C 6 60 C 8 41) C 42)

Math 1342 Exam 2 Review

Math 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 information

Exam III Review Problems

Exam III Review Problems c Kathryn Bollinger and Benjamin Aurispa, November 10, 2011 1 Exam III Review Problems Fall 2011 Note: Not every topic is covered in this review. Please also take a look at the previous Week-in-Reviews

More information

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

MULTIPLE 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 information

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

MULTIPLE 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 information

Math 1313 Section 6.2 Definition of Probability

Math 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 information

1. Determine whether the following experiments are binomial.

1. Determine whether the following experiments are binomial. Math 141 Exam 3 Review Problem Set Note: Not every topic is covered in this review. It is more heavily weighted on 8.4-8.6. Please also take a look at the previous Week in Reviews for more practice problems

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)

, 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 information

Math 146 Statistics for the Health Sciences Additional Exercises on Chapter 3

Math 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 information

North Seattle Community College Winter ELEMENTARY STATISTICS 2617 MATH Section 05, Practice Questions for Test 2 Chapter 3 and 4

North 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 information

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

MULTIPLE 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 information

6) A) both; happy B) neither; not happy C) one; happy D) one; not happy

6) 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 information

Chapter 8: Probability: The Mathematics of Chance

Chapter 8: Probability: The Mathematics of Chance Chapter 8: Probability: The Mathematics of Chance Free-Response 1. A spinner with regions numbered 1 to 4 is spun and a coin is tossed. Both the number spun and whether the coin lands heads or tails is

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) 1 6

MULTIPLE 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 information

Such a description is the basis for a probability model. Here is the basic vocabulary we use.

Such 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 information

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

SHORT 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 information

INDEPENDENT AND DEPENDENT EVENTS UNIT 6: PROBABILITY DAY 2

INDEPENDENT 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 information

Class XII Chapter 13 Probability Maths. Exercise 13.1

Class 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 information

Math 4610, Problems to be Worked in Class

Math 4610, Problems to be Worked in Class Math 4610, Problems to be Worked in Class Bring this handout to class always! You will need it. If you wish to use an expanded version of this handout with space to write solutions, you can download one

More information

Math 3201 Unit 3: Probability Name:

Math 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 information

Essential Question How can you list the possible outcomes in the sample space of an experiment?

Essential Question How can you list the possible outcomes in the sample space of an experiment? . TEXAS ESSENTIAL KNOWLEDGE AND SKILLS G..B Sample Spaces and Probability Essential Question How can you list the possible outcomes in the sample space of an experiment? The sample space of an experiment

More information

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

MULTIPLE 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 information

Grade 7/8 Math Circles February 25/26, Probability

Grade 7/8 Math Circles February 25/26, Probability Faculty of Mathematics Waterloo, Ontario N2L 3G1 Probability Grade 7/8 Math Circles February 25/26, 2014 Probability Centre for Education in Mathematics and Computing Probability is the study of how likely

More information

Conditional Probability Worksheet

Conditional Probability Worksheet Conditional Probability Worksheet P( A and B) P(A B) = P( B) Exercises 3-6, 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 information

FALL 2012 MATH 1324 REVIEW EXAM 4

FALL 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 information

November 8, Chapter 8: Probability: The Mathematics of Chance

November 8, Chapter 8: Probability: The Mathematics of Chance Chapter 8: Probability: The Mathematics of Chance November 8, 2013 Last Time Probability Models and Rules Discrete Probability Models Equally Likely Outcomes Crystallographic notation The first symbol

More information

2. 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

2. 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 information

MATH CALCULUS & STATISTICS/BUSN - PRACTICE EXAM #1 - SPRING DR. DAVID BRIDGE

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 information

Intermediate Math Circles November 1, 2017 Probability I

Intermediate 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

a) 2, 4, 8, 14, 22, b) 1, 5, 6, 10, 11, c) 3, 9, 21, 39, 63, d) 3, 0, 6, 15, 27, e) 3, 8, 13, 18, 23,

a) 2, 4, 8, 14, 22, b) 1, 5, 6, 10, 11, c) 3, 9, 21, 39, 63, d) 3, 0, 6, 15, 27, e) 3, 8, 13, 18, 23, Pre-alculus Midterm Exam Review Name:. Which of the following is an arithmetic sequence?,, 8,,, b),, 6, 0,, c), 9,, 9, 6, d), 0, 6,, 7, e), 8,, 8,,. What is a rule for the nth term of the arithmetic sequence

More information

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

MULTIPLE 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 information

Math 141 Exam 3 Review with Key. 1. P(E)=0.5, P(F)=0.6 P(E F)=0.9 Find ) b) P( E F ) c) P( E F )

Math 141 Exam 3 Review with Key. 1. P(E)=0.5, P(F)=0.6 P(E F)=0.9 Find ) b) P( E F ) c) P( E F ) Math 141 Exam 3 Review with Key 1. P(E)=0.5, P(F)=0.6 P(E F)=0.9 Find C C C a) P( E F) ) b) P( E F ) c) P( E F ) 2. A fair coin is tossed times and the sequence of heads and tails is recorded. Find a)

More information

Section 6.5 Conditional Probability

Section 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 information

Name: 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

Name: 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 information

2. The figure shows the face of a spinner. The numbers are all equally likely to occur.

2. The figure shows the face of a spinner. The numbers are all equally likely to occur. MYP IB Review 9 Probability Name: Date: 1. For a carnival game, a jar contains 20 blue marbles and 80 red marbles. 1. Children take turns randomly selecting a marble from the jar. If a blue marble is chosen,

More information

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

MULTIPLE 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 information

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

Determine 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 information

1. 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? 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 information

Honors Precalculus Chapter 9 Summary Basic Combinatorics

Honors 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 information

Review Questions on Ch4 and Ch5

Review 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 information

Math : Probabilities

Math : Probabilities 20 20. Probability EP-Program - Strisuksa School - Roi-et Math : Probabilities Dr.Wattana Toutip - Department of Mathematics Khon Kaen University 200 :Wattana Toutip wattou@kku.ac.th http://home.kku.ac.th/wattou

More information

Important Distributions 7/17/2006

Important Distributions 7/17/2006 Important Distributions 7/17/2006 Discrete Uniform Distribution All outcomes of an experiment are equally likely. If X is a random variable which represents the outcome of an experiment of this type, then

More information

Probability. March 06, J. Boulton MDM 4U1. P(A) = n(a) n(s) Introductory Probability

Probability. March 06, J. Boulton MDM 4U1. P(A) = n(a) n(s) Introductory Probability Most people think they understand odds and probability. Do you? Decision 1: Pick a card Decision 2: Switch or don't Outcomes: Make a tree diagram Do you think you understand probability? Probability Write

More information

Math 227 Elementary Statistics. Bluman 5 th edition

Math 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 information

Probability of Independent and Dependent Events. CCM2 Unit 6: Probability

Probability of Independent and Dependent Events. CCM2 Unit 6: Probability Probability of Independent and Dependent Events CCM2 Unit 6: Probability Independent and Dependent Events Independent Events: two events are said to be independent when one event has no affect on the probability

More information

MATH CALCULUS & STATISTICS/BUSN - PRACTICE EXAM #1 - SPRING DR. DAVID BRIDGE

MATH 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 information

Discrete Random Variables Day 1

Discrete Random Variables Day 1 Discrete Random Variables Day 1 What is a Random Variable? Every probability problem is equivalent to drawing something from a bag (perhaps more than once) Like Flipping a coin 3 times is equivalent to

More information

Functional Skills Mathematics

Functional Skills Mathematics Functional Skills Mathematics Level Learning Resource Probability D/L. Contents Independent Events D/L. Page - Combined Events D/L. Page - 9 West Nottinghamshire College D/L. Information Independent Events

More information

Independent and Mutually Exclusive Events

Independent 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 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.

, -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. 4-1 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 information

1 of 5 7/16/2009 6:57 AM Virtual Laboratories > 13. Games of Chance > 1 2 3 4 5 6 7 8 9 10 11 3. Simple Dice Games In this section, we will analyze several simple games played with dice--poker dice, chuck-a-luck,

More information

Section 6.1 #16. Question: What is the probability that a five-card poker hand contains a flush, that is, five cards of the same suit?

Section 6.1 #16. Question: What is the probability that a five-card poker hand contains a flush, that is, five cards of the same suit? Section 6.1 #16 What is the probability that a five-card poker hand contains a flush, that is, five cards of the same suit? page 1 Section 6.1 #38 Two events E 1 and E 2 are called independent if p(e 1

More information

Chapter 3: PROBABILITY

Chapter 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 information

ECON 214 Elements of Statistics for Economists

ECON 214 Elements of Statistics for Economists ECON 214 Elements of Statistics for Economists Session 4 Probability Lecturer: Dr. Bernardin Senadza, Dept. of Economics Contact Information: bsenadza@ug.edu.gh College of Education School of Continuing

More information

Ch Probability Outcomes & Trials

Ch Probability Outcomes & Trials Learning Intentions: Ch. 10.2 Probability Outcomes & Trials Define the basic terms & concepts of probability. Find experimental probabilities. Calculate theoretical probabilities. Vocabulary: Trial: real-world

More information

Fundamental. If one event can occur m ways and another event can occur n ways, then the number of ways both events can occur is:.

Fundamental. 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 information

Name (Place your name here and on the Scantron form.)

Name (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 information

Conditional Probability Worksheet

Conditional Probability Worksheet Conditional Probability Worksheet EXAMPLE 4. Drug Testing and Conditional Probability Suppose that a company claims it has a test that is 95% effective in determining whether an athlete is using a steroid.

More information

MATH , Summer I Homework - 05

MATH , Summer I Homework - 05 MATH 2300-02, Summer I - 200 Homework - 05 Name... TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. Due on Tuesday, October 26th ) True or False: If p remains constant

More information

MATH 215 DISCRETE MATHEMATICS INSTRUCTOR: P. WENG

MATH 215 DISCRETE MATHEMATICS INSTRUCTOR: P. WENG MATH DISCRETE MATHEMATICS INSTRUCTOR: P. WENG Counting and Probability Suggested Problems Basic Counting Skills, Inclusion-Exclusion, and Complement. (a An office building contains 7 floors and has 7 offices

More information

3.6 Theoretical and Experimental Coin Tosses

3.6 Theoretical and Experimental Coin Tosses wwwck12org Chapter 3 Introduction to Discrete Random Variables 36 Theoretical and Experimental Coin Tosses Here you ll simulate coin tosses using technology to calculate experimental probability Then you

More information

April 10, ex) Draw a tree diagram of this situation.

April 10, ex) Draw a tree diagram of this situation. April 10, 2014 12-1 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 information

Unit 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. 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 information

Mutually Exclusive Events Algebra 1

Mutually 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 information

3 The multiplication rule/miscellaneous counting problems

3 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 information

Textbook: pp Chapter 2: Probability Concepts and Applications

Textbook: pp Chapter 2: Probability Concepts and Applications 1 Textbook: pp. 39-80 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 information

Unit 14 Probability. Target 3 Calculate the probability of independent and dependent events (compound) AND/THEN statements

Unit 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 information

Spring 2016 Math 54 Test #2 Name: Write your work neatly. You may use TI calculator and formula sheet. Total points: 103

Spring 2016 Math 54 Test #2 Name: Write your work neatly. You may use TI calculator and formula sheet. Total points: 103 Spring 2016 Math 54 Test #2 Name: Write your work neatly. You may use TI calculator and formula sheet. Total points: 103 1. (8) The following are amounts of time (minutes) spent on hygiene and grooming

More information

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

MULTIPLE 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 information

Chapter 1. Probability

Chapter 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 information

1. 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 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 information

AP Statistics Ch In-Class Practice (Probability)

AP Statistics Ch In-Class Practice (Probability) AP Statistics Ch 14-15 In-Class Practice (Probability) #1a) A batter who had failed to get a hit in seven consecutive times at bat then hits a game-winning home run. When talking to reporters afterward,

More information

Chapter 4: Probability and Counting Rules

Chapter 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 information

Math 147 Elementary Probability/Statistics I Additional Exercises on Chapter 4: Probability

Math 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 information

CS1802 Week 9: Probability, Expectation, Entropy

CS1802 Week 9: Probability, Expectation, Entropy CS02 Discrete Structures Recitation Fall 207 October 30 - November 3, 207 CS02 Week 9: Probability, Expectation, Entropy Simple Probabilities i. What is the probability that if a die is rolled five times,

More information

Simple Probability. Arthur White. 28th September 2016

Simple Probability. Arthur White. 28th September 2016 Simple Probability Arthur White 28th September 2016 Probabilities are a mathematical way to describe an uncertain outcome. For eample, suppose a physicist disintegrates 10,000 atoms of an element A, and

More information

PROBABILITY. 1. Introduction. Candidates should able to:

PROBABILITY. 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 information

Lesson 3 Dependent and Independent Events

Lesson 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 information

November 6, Chapter 8: Probability: The Mathematics of Chance

November 6, Chapter 8: Probability: The Mathematics of Chance Chapter 8: Probability: The Mathematics of Chance November 6, 2013 Last Time Crystallographic notation Groups Crystallographic notation The first symbol is always a p, which indicates that the pattern

More information

Probability Homework

Probability Homework Probability Homework Section P 1. A pair of fair dice are tossed. What is the conditional probability that the two dice are the same given that the sum equals 8? 2. A die is tossed. a) Find the probability

More information

Discrete probability and the laws of chance

Discrete 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 information

Unit 9: Probability Assignments

Unit 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 information

Exercise Class XI Chapter 16 Probability Maths

Exercise 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 information

November 11, Chapter 8: Probability: The Mathematics of Chance

November 11, Chapter 8: Probability: The Mathematics of Chance Chapter 8: Probability: The Mathematics of Chance November 11, 2013 Last Time Probability Models and Rules Discrete Probability Models Equally Likely Outcomes Probability Rules Probability Rules Rule 1.

More information

Unit Nine Precalculus Practice Test Probability & Statistics. Name: Period: Date: NON-CALCULATOR SECTION

Unit Nine Precalculus Practice Test Probability & Statistics. Name: Period: Date: NON-CALCULATOR SECTION Name: Period: Date: NON-CALCULATOR 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 information

Finite Mathematics MAT 141: Chapter 8 Notes

Finite 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 information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. B) Blood type Frequency

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. B) Blood type Frequency MATH 1342 Final Exam Review Name Construct a frequency distribution for the given qualitative data. 1) The blood types for 40 people who agreed to participate in a medical study were as follows. 1) O A

More information

[Independent Probability, Conditional Probability, Tree Diagrams]

[Independent Probability, Conditional Probability, Tree Diagrams] Name: Year 1 Review 11-9 Topic: Probability Day 2 Use your formula booklet! Page 5 Lesson 11-8: Probability Day 1 [Independent Probability, Conditional Probability, Tree Diagrams] Read and Highlight Station

More information

Name: Exam 1. September 14, 2017

Name: Exam 1. September 14, 2017 Department of Mathematics University of Notre Dame Math 10120 Finite Math Fall 2017 Name: Instructors: Basit & Migliore Exam 1 September 14, 2017 This exam is in two parts on 9 pages and contains 14 problems

More information

Algebra 2 Notes Section 10.1: Apply the Counting Principle and Permutations

Algebra 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 information

12.1 Practice A. Name Date. In Exercises 1 and 2, find the number of possible outcomes in the sample space. Then list the possible outcomes.

12.1 Practice A. Name Date. In Exercises 1 and 2, find the number of possible outcomes in the sample space. Then list the possible outcomes. Name Date 12.1 Practice A In Exercises 1 and 2, find the number of possible outcomes in the sample space. Then list the possible outcomes. 1. You flip three coins. 2. A clown has three purple balloons

More information

Chapter 0: Preparing for Advanced Algebra

Chapter 0: Preparing for Advanced Algebra Lesson 0-1: 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 information

Math Exam 2 Review. NOTE: For reviews of the other sections on Exam 2, refer to the first page of WIR #4 and #5.

Math 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 Fall 2008 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 3.2 - Measures of Central Tendency

More information

Bell Work. Warm-Up Exercises. Two six-sided dice are rolled. Find the probability of each sum or 7

Bell Work. Warm-Up Exercises. Two six-sided dice are rolled. Find the probability of each sum or 7 Warm-Up Exercises Two six-sided dice are rolled. Find the probability of each sum. 1. 7 Bell Work 2. 5 or 7 3. You toss a coin 3 times. What is the probability of getting 3 heads? Warm-Up Notes Exercises

More information

Math Exam 2 Review. NOTE: For reviews of the other sections on Exam 2, refer to the first page of WIR #4 and #5.

Math 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 Fall 2008 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 3.2 - Measures of Central Tendency

More information

MTH 103 H Final Exam. 1. I study and I pass the course is an example of a. (a) conjunction (b) disjunction. (c) conditional (d) connective

MTH 103 H Final Exam. 1. I study and I pass the course is an example of a. (a) conjunction (b) disjunction. (c) conditional (d) connective MTH 103 H Final Exam Name: 1. I study and I pass the course is an example of a (a) conjunction (b) disjunction (c) conditional (d) connective 2. Which of the following is equivalent to (p q)? (a) p q (b)

More information

PRE TEST. Math in a Cultural Context*

PRE TEST. Math in a Cultural Context* P grade PRE TEST Salmon Fishing: Investigations into A 6P th module in the Math in a Cultural Context* UNIVERSITY OF ALASKA FAIRBANKS Student Name: Grade: Teacher: School: Location of School: Date: *This

More information

Section Introduction to Sets

Section Introduction to Sets Section 1.1 - Introduction to Sets Definition: A set is a well-defined collection of objects usually denoted by uppercase letters. Definition: The elements, or members, of a set are denoted by lowercase

More information

Chapter 1. Probability

Chapter 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 information

11-1 Practice. Designing a Study

11-1 Practice. Designing a Study 11-1 Practice Designing a Study Determine whether each situation calls for a survey, an experiment, or an observational study. Explain your reasoning. 1. You want to compare the health of students who

More information

STAT Statistics I Midterm Exam One. Good Luck!

STAT Statistics I Midterm Exam One. Good Luck! STAT 515 - Statistics I Midterm Exam One Name: Instruction: You can use a calculator that has no connection to the Internet. Books, notes, cellphones, and computers are NOT allowed in the test. There are

More information