# You are packing fo a vacation. At home you ha e 10 shirts and 7 airs of shorts.

Size: px
Start display at page:

Download "You are packing fo a vacation. At home you ha e 10 shirts and 7 airs of shorts."

## Transcription

1 LESSON 12.3 Name Warm-Up Exercses For use before lesson 12.3, ages Avalable as a transparency You are packng fo a vacaton. At home you ha e 10 shrts and 7 ars of shorts. 1. In how many dfferent ways can you choose 4 pars of shorts to take on vaca on? 2. In how many dfferent ways can you choose two shrts to wear on the frst and second days of vacaton? 3. If you brng 4 pars of shorts and 6 shrts, how many dfferent outfts can you make? Daly Homework Quz For use after Lesson 12.2, pages Fnd the number of combnatons C4 Wrte the bnomal expanson. 3. (x + 3)4 4. (3 - >>)3 42 Copyrght McDougal Lttel! Inc All rghts reserved l

2 LESSON 12.3 Name Applcaton Lesson Opener For use wth pages Avalable as a Imsparency The probablty of an event s a number between 0 and 1 that ndcates the lkelhood that the event wll occur. Some sample probabltes and ther meanngs are gven below. P = 0 Event wll not occur. P Event probably wll not occur. P = 0.5 Event s equally lkely to occur or not occur. P 0,75 Event probably wll occur. P 1 ' Event s certan to occur. St te hether the robablty that the event wll occur s closer to 0, 0.25, 0.5, 0.75, or The next tme you flp a con, t wll come up heads. 2. The frst card you draw from a standard 52-card deck wll be a heart. 3. The next baby bom n your town ll be a grl. 4. There wll be a snowstorm n Oho n My. 5. The next tme you roll a number cube, you wll get an odd» number. 6. You wll be assgned homework n the next week. 7. The frst card you draw from a standard 52-card deck wll be a 7, 8, or You wll attend school on My The frst card you draw from a standard 52-card deck wll be a spade, club, o damond. Copyrght McDougal Lttell Inc All rghts reserve. 43

3 Name Pract ce A For use wth pages Spnnng a Spnner You have an equally lkely ch nce of spnnng any value on th spnner. Fnd the probablty of spnnng the gven event 1. a shaded regon 2. a factor of a number less than 6 or a shaded regon 4. an even number or perfect square 5. a prme nu ber 6. a two-dgt number Choosng Marbles A jar contans 5 red matbles, 3 green m rbles, 2 yellow marbles, nd 1 blue marble. Fnd the probablty of randomly drawng the gven type of marble. 7. a yellow marble 8. a blue arble 9. a green or yellow marble 10. a red or ellow marble School Mascot In order to choose a mascot for a new school, 2755 students were surveyed- 896 chose a falcon, 937 chose a ram, and 842 chose a panther The remanng students dd not vote. A student s chosen at random. 11. What s the prob blty that the tudent s choce was a anther? 12. hat s the probablty that the student s choce was not a ram1? 13. Wh t s the probablt that the student s choce was ether a f lcon or a ram? Httng a Star n E ercses 14-16, use the followng nformaton. You are throwng a dart at he sq are shown at the rght. Assume that the art s equally l ely to land at any pont n the s uare. The square s 2 nches by 2 nches. Each sta has an area of 0.01 square nch. 14. The d rt has landed nsde the squae. What s the probablty that t ht a star? 15. The dart has la ded nsde the square. What s the probablty that t ht a star m the top three rows? 16. The dart has l nded nsde the squ e. What s the p obablty that t h one of the four corner stars9 x ' x L so 12 3 Copyrght McOougal Lttel Inc All rghts reserved Chapter 12 Resou ce Book 45

4 Name Practce B For use wth pages 71&-722 Choosng Numbers You have an equally lkely chance of choosng a y nte ger from the set {1,2, 3,4,5,6,7, 8,9,10,11,12}. Fnd the probablty of the gven event. 1. An even number s chosen. 2. A prme number s chosen. 3. A multple of 3 s chosen. 4. A two-dgt number s chosen. Farm Anmals Your cousn lves on a small farm. She a ember of the 4-H Club and s sho ng nne anmals at the county far. T o of her anmals won a blue rbbon (1st place), one won red nbbon (2nd place), and three won hte rbbons (3rd place). You do not know whch anmals won whch przes. You choose one of your cousn s anmals at random. 5. What s the robablty that the anmal won a 1st place rbbon? 6. What s the probablty that the an l won a rbbon? 7. What s the probablty that the anmal won a red or whte rbbon? Lve Brths In Exercses 8-10, use the followng nformaton. Of all lve brths n the Unted States n 1996,12.9% of the mothers were teenagers, 51.8% were n ther twentes, 33.4% were n ther thrtes, and the rest were n ther fortes. Suppose a mother s chosen at random. 8. What s the probablty that the mother gave brth n her twentes? 9. What s the probablty th t the mother gave brth n her twentes or thrtes? 10. What s the probablty that the mother gave brth n her fortes? 11. Choosng Cons You have 8 pennes n your ocke dated 1972,1978, 1979, 1985, 1989, 1991, 1993, and You take the cons out of your pocket one at tme, What s the probablty that they are taken out n orde by date? 12. Geometry Fnd the prob blty that a dart thrown at the gven target wll ht the shaded regon. Assume the dart s equally l ely to ht any pont nsde the target. Copyrght McDouqal Lttel Inc. All rghts reser ed

5 Name Reteachng wth Practce For use wth pages f ' : Fnd theoretcal and expe mental probabltes Vocabulary The probablty of a event s a number between 0 and 1 that ndcates the lkelhood the event wll occur. Theoretcal probablty s a type of probablty that s based on al outcomes of an event A beng equally lkely, and s gven by number of outcom s n P(A) = total number of outcomes Experment l robablty s a type of p obablty that s based on the results of a ex erment, a survey, or the hstory of an event. fllfll Fndng Probabltes of Events You dra a.card from a standard dec of 52 cards. Fnd the probablty of dr wng a face card. So uton T elve outcomes corres ond to drawmg a face card: J, Q and K from the four suts. k / drawng a face cad) Exercses for Example 1 Sm lfy the expresson. numbe of ways o dr a face card _ 12 number of ways to d aw a card 52 _3_ Fnd the probablt of choosng an E when selectng a letter from those n the word COLLEGE 2. A card s drawn f om a standard dec of 52 cards. Fnd the robablty the card s ether a club o a spade. Probabltes nvolvng Permutatons and Combnatons For next year s schedule of cl sses, mathematcs, Englsh, hstory, and scence are each scheduled durng t e frst four erods of the day. Your sc edule s andomly selected by a computer. a. What s the robablty tha En lsh, math, scence, and hstory wll be scheduled m that order? b. Your favorte subjects a e math and scence. What s the probablty that your favonte subjects wll be scheduled the frst two perods, n * any order*? R Copyrght McDougal Lell Inc All rghts reserved 1 I

6 LESSON CONTINUED Name Reteachng wth Practce For use wth pages Soluton a. Because there are four subjects, you have fo r choces for frst perod, three choces for second perod, two c oces for thrd perod, and one choce for fourth erod. So, there are 4! dfferent ermutatons of subjects. Because there s only one way to schedule your classes wth Englsh f st, math second, scence thrd, and hstory fourth, P(E,M, S,H) = ~ = = b. There are 4C2 df erent combnatons of 2 subjects. Of these 2C2 contan 2 of your favorte subjects. So, the probablty s: 1 C 1 P(schedulng 2 favortes frst) = ~~ = C2 6 Exercses for Example 2 Seven letters are chosen, one at a tme, at random from those n the word ENGLISH. 3. Fnd the probablty that they ll be chosen n alphabetcal order. 4, Fmd the probablty that the frst letter wll be a vowel. Fndng Expermental Probabltes In order to choose a masco for a new school, 1847 students were sur ve ed: 529 chose falcon, 762 chose a ram, and 501 chose a panther. The remanng studen s dd not vote. If a student s selected at random, what s the probablty that the student s choce was a anther7 Soluto Of the 1847 students surveyed, 501 chose a panther. So, the probablty s: L sson 1?.3 P(panther) = «0.271 Exercses fo Example 3 hrt students n an class took a test: 8 receved A s, 13 receved B s, and 9 receved C s. If a student from the class s r ndo ly chosen, 5. What s the probablty the s udent receved a C on the test? 6. What s the robablty the student receved an A or B on the test? Copyrg t McDougaf Lttell nc nghts reserved 49

### N( E) ( ) That is, if the outcomes in sample space S are equally likely, then ( )

Stat 400, secton 2.2 Axoms, Interpretatons and Propertes of Probablty notes by Tm Plachowsk In secton 2., we constructed sample spaces by askng, What could happen? Now, n secton 2.2, we begn askng and

### 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

### problems palette of David Rock and Mary K. Porter 6. A local musician comes to your school to give a performance

palette of problems Davd Rock and Mary K. Porter 1. If n represents an nteger, whch of the followng expressons yelds the greatest value? n,, n, n, n n. A 60-watt lghtbulb s used for 95 hours before t burns

### Test 2. ECON3161, Game Theory. Tuesday, November 6 th

Test 2 ECON36, Game Theory Tuesday, November 6 th Drectons: Answer each queston completely. If you cannot determne the answer, explanng how you would arrve at the answer may earn you some ponts.. (20 ponts)

### 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

### STATISTICS. is given by. i i. = total frequency, d i. = x i a ANIL TUTORIALS. = total frequency and d i. = total frequency, h = class-size

STATISTICS ImPORTANT TERmS, DEFINITIONS AND RESULTS l The mean x of n values x 1, x 2, x 3,... x n s gven by x1+ x2 + x3 +... + xn x = n l mean of grouped data (wthout class-ntervals) () Drect method :

### Math 1070 Sample Exam 1

University of Connecticut Department of Mathematics Math 1070 Sample Exam 1 Exam 1 will cover sections 4.1-4.7 and 5.1-5.4. This sample exam is intended to be used as one of several resources to help you

### Old text. From Through the Looking Glass by Lewis Carroll. Where is the setting of this place? Describe in your own words.

Old text Read ths extract carefully, then answer, n complete sentences, the questons that follow. For some mnutes Alce stood wthout speakng, lookng out n all drectons over the country and a most curous

### Exam 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, 6.1-6.4, 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

### Control Chart. Control Chart - history. Process in control. Developed in 1920 s. By Dr. Walter A. Shewhart

Control Chart - hstory Control Chart Developed n 920 s By Dr. Walter A. Shewhart 2 Process n control A phenomenon s sad to be controlled when, through the use of past experence, we can predct, at least

### Instructions: 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

### STAR POWER BOM/BOQ SETTING IDEA 1 - TWIST & SHOUT

Below are two deas for settng your blocks together. Of course, there are dozens more! Take your blocks out to play, and decde on a settng that makes you smle! STAR POWER BOM/BOQ SETTING IDEA 1 - TWIST

### 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

### Review: Our Approach 2. CSC310 Information Theory

CSC30 Informaton Theory Sam Rowes Lecture 3: Provng the Kraft-McMllan Inequaltes September 8, 6 Revew: Our Approach The study of both compresson and transmsson requres that we abstract data and messages

### Tile Values of Information in Some Nonzero Sum Games

lnt. ournal of Game Theory, Vot. 6, ssue 4, page 221-229. Physca- Verlag, Venna. Tle Values of Informaton n Some Nonzero Sum Games By P. Levne, Pars I ), and ZP, Ponssard, Pars 2 ) Abstract: The paper

### Fall 2018 #11 Games and Nimbers. A. Game. 0.5 seconds, 64 megabytes

5-95 Fall 08 # Games and Nmbers A. Game 0.5 seconds, 64 megabytes There s a legend n the IT Cty college. A student that faled to answer all questons on the game theory exam s gven one more chance by hs

### Generalized Incomplete Trojan-Type Designs with Unequal Cell Sizes

Internatonal Journal of Theoretcal & Appled Scences 6(1): 50-54(2014) ISSN No. (Prnt): 0975-1718 ISSN No. (Onlne): 2249-3247 Generalzed Incomplete Trojan-Type Desgns wth Unequal Cell Szes Cn Varghese,

### 4.1 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

### Probability 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

### 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

### UNIT 11 TWO-PERSON ZERO-SUM GAMES WITH SADDLE POINT

UNIT TWO-PERSON ZERO-SUM GAMES WITH SADDLE POINT Structure. Introducton Obectves. Key Terms Used n Game Theory.3 The Maxmn-Mnmax Prncple.4 Summary.5 Solutons/Answers. INTRODUCTION In Game Theory, the word

### Online Reporting. Online Reporting. A step-by-step guide. Important information for churches, schools and organisations

Onlne Reportng Onlne Reportng A step-by-step gude www.olr.ccl.com Important nformaton for churches, schools and organsatons May 2016 Reportng s a vtal part of beng a lcence holder... Reportng s a requrement

### Unit 7 Central Tendency and Probability

Name: Block: 7.1 Central Tendency 7.2 Introduction to Probability 7.3 Independent Events 7.4 Dependent Events 7.1 Central Tendency A central tendency is a central or value in a data set. We will look at

### MATH STUDENT BOOK. 7th Grade Unit 6

MATH STUDENT BOOK 7th Grade Unit 6 Unit 6 Probability and Graphing Math 706 Probability and Graphing Introduction 3 1. Probability 5 Theoretical Probability 5 Experimental Probability 13 Sample Space 20

### 4. 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

### Wild Animals. Lesson at a Glance. Animals. Lesson Objectives. Lesson Plan. Bible Story Text. Bible Truth. Lesson 3

Lesson at a Glance Wld Lesson Objectves The chldren wll dentfy wld anmals. The chldren wll state that God made anmals. The chldren wll thank God for makng wld anmals. Bble Story Text Geness 1:24-25 Bble

### ETSI TS V8.4.0 ( )

TS 100 959 V8.4.0 (2001-11) Techncal Specfcaton Dgtal cellular telecommuncatons system (Phase 2+); Modulaton (3GPP TS 05.04 verson 8.4.0 Release 1999) GLOBAL SYSTEM FOR MOBILE COMMUNICATIONS R 1 TS 100

### Probability: introduction

May 6, 2009 Probability: introduction page 1 Probability: introduction Probability is the part of mathematics that deals with the chance or the likelihood that things will happen The probability of an

### ACTIVITY: Conducting Experiments

0. Outcomes and Events the number of possible results? In an experiment, how can you determine An experiment is an investigation or a procedure that has varying results. Flipping a coin, rolling a number

### 2 Event is equally likely to occur or not occur. When all outcomes are equally likely, the theoretical probability that an event A will occur is:

10.3 TEKS a.1, a.4 Define and Use Probability Before You determined the number of ways an event could occur. Now You will find the likelihood that an event will occur. Why? So you can find real-life geometric

### Section 7.3 and 7.4 Probability of Independent Events

Section 7.3 and 7.4 Probability of Independent Events Grade 7 Review Two or more events are independent when one event does not affect the outcome of the other event(s). For example, flipping a coin and

### Lesson 16.1 Assignment

Lesson 16.1 Assignment Name Date Rolling, Rolling, Rolling... Defining and Representing Probability 1. Rasheed is getting dressed in the dark. He reaches into his sock drawer to get a pair of socks. He

### 2 C. 1 D. 2 4 D. 5 3 C. 25 D. 2

Discrete Math Exam Review Name:. A bag contains oranges, grapefruits, and tangerine. A piece of fruit is chosen from the bag at random. What is the probability that a grapefruit will be chosen from the

### Math 7 Notes - Unit 7B (Chapter 11) Probability

Math 7 Notes - Unit 7B (Chapter 11) Probability Probability Syllabus Objective: (7.2)The student will determine the theoretical probability of an event. Syllabus Objective: (7.4)The student will compare

### Digital Transmission

Dgtal Transmsson Most modern communcaton systems are dgtal, meanng that the transmtted normaton sgnal carres bts and symbols rather than an analog sgnal. The eect o C/N rato ncrease or decrease on dgtal

### A. 15 B. 24 C. 45 D. 54

A spinner is divided into 8 equal sections. Lara spins the spinner 120 times. It lands on purple 30 times. How many more times does Lara need to spin the spinner and have it land on purple for the relative

### When a number cube is rolled once, the possible numbers that could show face up are

C3 Chapter 12 Understanding Probability Essential question: How can you describe the likelihood of an event? Example 1 Likelihood of an Event When a number cube is rolled once, the possible numbers that

### POLYTECHNIC UNIVERSITY Electrical Engineering Department. EE SOPHOMORE LABORATORY Experiment 1 Laboratory Energy Sources

POLYTECHNIC UNIERSITY Electrcal Engneerng Department EE SOPHOMORE LABORATORY Experment 1 Laboratory Energy Sources Modfed for Physcs 18, Brooklyn College I. Oerew of the Experment Ths experment has three

### To: Professor Avitabile Date: February 4, 2003 From: Mechanical Student Subject: Experiment #1 Numerical Methods Using Excel

To: Professor Avtable Date: February 4, 3 From: Mechancal Student Subject:.3 Experment # Numercal Methods Usng Excel Introducton Mcrosoft Excel s a spreadsheet program that can be used for data analyss,

### Diamond ( ) (Black coloured) (Black coloured) (Red coloured) ILLUSTRATIVE EXAMPLES

CHAPTER 15 PROBABILITY Points to Remember : 1. In the experimental approach to probability, we find the probability of the occurence of an event by actually performing the experiment a number of times

### Name 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,

### Probability 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.

### Key Concept Probability of Independent Events. Key Concept Probability of Mutually Exclusive Events. Key Concept Probability of Overlapping Events

15-4 Compound Probability TEKS FOCUS TEKS (1)(E) Apply independence in contextual problems. TEKS (1)(B) Use a problemsolving model that incorporates analyzing given information, formulating a plan or strategy,

### EMA. Education Maintenance Allowance (EMA) Financial Details Form 2017/18. student finance wales cyllid myfyrwyr cymru.

student fnance wales cylld myfyrwyr cymru Educaton Mantenance Allowance (EMA) Fnancal Detals Form 2017/18 sound advce on STUDENT FINANCE EMA Educaton Mantenance Allowance (EMA) 2017/18 /A How to complete

### EE 215A Fundamentals of Electrical Engineering Lecture Notes Resistive Circuits 10/06/04. Rich Christie

5A Introducton: EE 5A Fundamental of Electrcal Engneerng Lecture Note etve Crcut 0/06/04 ch Chrte The oluton of crcut wth more than two element need a lttle more theory. Start wth ome defnton: Node pont

### 7.1 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

### 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

### Section 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.

### 1. Theoretical probability is what should happen (based on math), while probability is what actually happens.

Name: Date: / / QUIZ DAY! Fill-in-the-Blanks: 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

### 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

### Georgia Department of Education Common Core Georgia Performance Standards Framework CCGPS Analytic Geometry Unit 7 PRE-ASSESSMENT

PRE-ASSESSMENT Name of Assessment Task: Compound Probability 1. State a definition for each of the following types of probability: A. Independent B. Dependent C. Conditional D. Mutually Exclusive E. Overlapping

### Outcomes: The outcomes of this experiment are yellow, blue, red and green.

(Adapted from http://www.mathgoodies.com/) 1. Sample Space The sample space of an experiment is the set of all possible outcomes of that experiment. The sum of the probabilities of the distinct outcomes

### Optimizing a System of Threshold-based Sensors with Application to Biosurveillance

Optmzng a System of Threshold-based Sensors wth Applcaton to Bosurvellance Ronald D. Frcker, Jr. Thrd Annual Quanttatve Methods n Defense and Natonal Securty Conference May 28, 2008 What s Bosurvellance?

### Math 1070 Sample Exam 1

University of Connecticut Department of Mathematics Math 1070 Sample Exam 1 Exam 1 will cover sections 1.1, 1.2, 3.1, 3.2, 3.3, 4.1, 4.2, 4.3, 4.4, 4.5, 5.1 and 5.2. This sample exam is intended to be

### Lesson 15.5: Independent and Dependent Events

Lesson 15.5: Independent and Dependent Events Sep 26 10:07 PM 1 Work with a partner. You have three marbles in a bag. There are two green marbles and one purple marble. Randomly draw a marble from the

### Probability of Independent and Dependent Events

706 Practice A Probability of In and ependent Events ecide whether each set of events is or. Explain your answer.. A student spins a spinner and rolls a number cube.. A student picks a raffle ticket from

### Name: 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

### Math 7 Notes - Unit 11 Probability

Math 7 Notes - Unit 11 Probability Probability Syllabus Objective: (7.2)The student will determine the theoretical probability of an event. Syllabus Objective: (7.4)The student will compare theoretical

### #3. Let A, B and C be three sets. Draw a Venn Diagram and use shading to show the set: PLEASE REDRAW YOUR FINAL ANSWER AND CIRCLE IT!

Math 111 Practice Final For #1 and #2. Let U = { 1, 2, 3, 4, 5, 6, 7, 8} M = {1, 3, 5 } N = {1, 2, 4, 6 } P = {1, 5, 8 } List the members of each of the following sets, using set braces. #1. (M U P) N

### 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.

### 19.4 Mutually Exclusive and Overlapping Events

Name Class Date 19.4 Mutually Exclusive and Overlapping Events Essential Question: How are probabilities affected when events are mutually exclusive or overlapping? Resource Locker Explore 1 Finding the

### Virginia - Mathematics Standards of Learning (2009): 3.10a, 3.9d Fairfax County Public Schools Program of Studies: 3.10.a.1,

1 Lesson Plan Tiling a Rectangle to Detere Area Age group: 3 rd Grade, 4 t h Grade Virginia - Mathematics Standards of Learning (2009): 3.10a, 3.9d Fairfax County Public Schools Program of Studies: 3.10.a.1,

### 6. In how many different ways can you answer 10 multiple-choice questions if each question has five choices?

Pre-Calculus Section 4.1 Multiplication, Addition, and Complement 1. Evaluate each of the following: a. 5! b. 6! c. 7! d. 0! 2. Evaluate each of the following: a. 10! b. 20! 9! 18! 3. In how many different

### Compound Probability. A to determine the likelihood of two events occurring at the. ***Events can be classified as independent or dependent events.

Probability 68B A to determine the likelihood of two events occurring at the. ***Events can be classified as independent or dependent events. Independent Events are events in which the result of event

### Fair Game Review. Chapter 9. Simplify the fraction

Name Date Chapter 9 Simplify the fraction. 1. 10 12 Fair Game Review 2. 36 72 3. 14 28 4. 18 26 5. 32 48 6. 65 91 7. There are 90 students involved in the mentoring program. Of these students, 60 are girls.

### Application Form Academic year 2015/16

EDUCATION MAINTENANCE ALLOWANCE (EMA) Applcaton Form Academc year 2015/16 www.ndrect.gov.uk Apply Now! How to complete ths applcaton form Follow the nstructons, we ll tell you what questons you need to

### Name: Class: Date: Probability/Counting Multiple Choice Pre-Test

Name: _ lass: _ ate: Probability/ounting Multiple hoice Pre-Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1 The dartboard has 8 sections of equal area.

### Probability Rules. 2) The probability, P, of any event ranges from which of the following?

Name: WORKSHEET : Date: Answer the following questions. 1) Probability of event E occurring is... P(E) = Number of ways to get E/Total number of outcomes possible in S, the sample space....if. 2) The probability,

### A Lower Bound for τ(n) of Any k-perfect Numbers

Pure Mathematcal Scences, Vol. 4, 205, no. 3, 99-03 HIKARI Ltd, www.m-har.com http://dx.do.org/0.2988/pms.205.4923 A Lower Bound for τn of Any -Perfect Numbers Keneth Adran P. Dagal Department of Mathematcs

### Unit 1. Current and Voltage U 1 VOLTAGE AND CURRENT. Circuit Basics KVL, KCL, Ohm's Law LED Outputs Buttons/Switch Inputs. Current / Voltage Analogy

..2 nt Crcut Bascs KVL, KCL, Ohm's Law LED Outputs Buttons/Swtch Inputs VOLTAGE AND CRRENT..4 Current and Voltage Current / Voltage Analogy Charge s measured n unts of Coulombs Current Amount of charge

### Chinese Remainder. Discrete Mathematics Andrei Bulatov

Chnese Remander Introducton Theorem Dscrete Mathematcs Andre Bulatov Dscrete Mathematcs Chnese Remander Theorem 34-2 Prevous Lecture Resdues and arthmetc operatons Caesar cpher Pseudorandom generators

### Secure Transmission of Sensitive data using multiple channels

Secure Transmsson of Senstve data usng multple channels Ahmed A. Belal, Ph.D. Department of computer scence and automatc control Faculty of Engneerng Unversty of Alexandra Alexandra, Egypt. aabelal@hotmal.com

### Comparison of Two Measurement Devices I. Fundamental Ideas.

Comparson of Two Measurement Devces I. Fundamental Ideas. ASQ-RS Qualty Conference March 16, 005 Joseph G. Voelkel, COE, RIT Bruce Sskowsk Rechert, Inc. Topcs The Problem, Eample, Mathematcal Model One

### 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

### Math June Review: Probability and Voting Procedures

Math - June Review: Probability and Voting Procedures A big box contains 7 chocolate doughnuts and honey doughnuts. A small box contains doughnuts: some are chocolate doughnuts, and the others are honey

### Skills we've learned. Skills we need. 7 3 Independent and Dependent Events. March 17, Alg2 Notes 7.3.notebook

7 3 Independent and Dependent Events Skills we've learned 1. In a box of 25 switches, 3 are defective. What is the probability of randomly selecting a switch that is not defective? 2. There are 12 E s

### 1. Write the first five terms of the sequence with 0 3 and. 2. Write an explicit rule and a recursive rule for the sequence.

LESSON 12.1 Name.Date Warm-Up Exercises For use before Lesson 12.1, pages 701-707 Avnilnbic as a tr«ms(iarency Evaluate. 1. 3! 2. 7! 4! 4. 10! (10-4)! Daily Homework Quiz For use after Lesson 11.5, pages

### CHAPTERS 14 & 15 PROBABILITY STAT 203

CHAPTERS 14 & 15 PROBABILITY STAT 203 Where this fits in 2 Up to now, we ve mostly discussed how to handle data (descriptive statistics) and how to collect data. Regression has been the only form of statistical

### Welcome! U4H2: Worksheet # s 2-7, 9-13, 16, 20. Updates: U4T is 12/12. Announcement: December 16 th is the last day I will accept late work.

Welcome! U4H2: Worksheet # s 2-7, 9-13, 16, 20 Updates: U4T is 12/12 Announcement: December 16 th is the last day I will accept late work. 1 Review U4H1 2 Theoretical Probability 3 Experimental Probability

### Name Date. Sample Spaces and Probability For use with Exploration 12.1

. Sample Spaces and Probability For use with Exploration. Essential Question How can you list the possible outcomes in the sample space of an experiment? The sample space of an experiment is the set of

### ANNUAL OF NAVIGATION 11/2006

ANNUAL OF NAVIGATION 11/2006 TOMASZ PRACZYK Naval Unversty of Gdyna A FEEDFORWARD LINEAR NEURAL NETWORK WITH HEBBA SELFORGANIZATION IN RADAR IMAGE COMPRESSION ABSTRACT The artcle presents the applcaton

### Chapter 12: Probability & Statistics. Notes #2: Simple Probability and Independent & Dependent Events and Compound Events

Chapter 12: Probability & Statistics Notes #2: Simple Probability and Independent & Dependent Events and Compound Events Theoretical & Experimental Probability 1 2 Probability: How likely an event is to

### 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

### Dynamic Optimization. Assignment 1. Sasanka Nagavalli January 29, 2013 Robotics Institute Carnegie Mellon University

Dynamc Optmzaton Assgnment 1 Sasanka Nagavall snagaval@andrew.cmu.edu 16-745 January 29, 213 Robotcs Insttute Carnege Mellon Unversty Table of Contents 1. Problem and Approach... 1 2. Optmzaton wthout

### MTBF PREDICTION REPORT

MTBF PREDICTION REPORT PRODUCT NAME: BLE112-A-V2 Issued date: 01-23-2015 Rev:1.0 Copyrght@2015 Bluegga Technologes. All rghts reserved. 1 MTBF PREDICTION REPORT... 1 PRODUCT NAME: BLE112-A-V2... 1 1.0

### Unit 11 Probability. Round 1 Round 2 Round 3 Round 4

Study Notes 11.1 Intro to Probability Unit 11 Probability Many events can t be predicted with total certainty. The best thing we can do is say how likely they are to happen, using the idea of probability.

### Foundations to Algebra In Class: Investigating Probability

Foundations to Algebra In Class: Investigating Probability Name Date How can I use probability to make predictions? Have you ever tried to predict which football team will win a big game? If so, you probably

### Utility-based Routing

Utlty-based Routng Je Wu Dept. of Computer and Informaton Scences Temple Unversty Roadmap Introducton Why Another Routng Scheme Utlty-Based Routng Implementatons Extensons Some Fnal Thoughts 2 . Introducton

### 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

### 10.1 Applying the Counting Principle and Permutations (helps you count up the number of possibilities!)

10.1 Applying the Counting Principle and Permutations (helps you count up the number of possibilities!) Example 1: Pizza You are buying a pizza. You have a choice of 3 crusts, 4 cheeses, 5 meat toppings,

### NAME DATE PERIOD. Study Guide and Intervention

9-1 Section Title The probability of a simple event is a ratio that compares the number of favorable outcomes to the number of possible outcomes. Outcomes occur at random if each outcome occurs by chance.

### Algebra II- Chapter 12- Test Review

Sections: Counting Principle Permutations Combinations Probability Name Choose the letter of the term that best matches each statement or phrase. 1. An illustration used to show the total number of A.

### Most of the time we deal with theoretical probability. Experimental probability uses actual data that has been collected.

AFM Unit 7 Day 3 Notes Theoretical vs. Experimental Probability Name Date Definitions: Experiment: process that gives a definite result Outcomes: results Sample space: set of all possible outcomes Event:

### Define 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

### 15,504 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

### 7 5 Compound Events. March 23, Alg2 7.5B Notes on Monday.notebook

7 5 Compound Events At a juice bottling factory, quality control technicians randomly select bottles and mark them pass or fail. The manager randomly selects the results of 50 tests and organizes the data

### Key Concepts. Theoretical Probability. Terminology. Lesson 11-1

Key Concepts Theoretical Probability Lesson - Objective Teach students the terminology used in probability theory, and how to make calculations pertaining to experiments where all outcomes are equally

### CC-13. Start with a plan. How many songs. are there MATHEMATICAL PRACTICES

CC- Interactive Learning Solve It! PURPOSE To determine the probability of a compound event using simple probability PROCESS Students may use simple probability by determining the number of favorable outcomes