Probability WarmUp 2


 Paula Sherman
 2 years ago
 Views:
Transcription
1 Probability WarmUp 2 Directions Solve to the best of your ability. (1) Write out the sample space (all possible outcomes) for the following situation: A dice is rolled and then a color is chosen, blue or green. (2) How many different meals can you create from two proteins, four vegetables, and four breads? (3) How many unique passwords can you create when choosing four numbers between 0 and 9 if repeated values are not allowed? (4) If 16 students are to take a quiz, are four question enough to make sure that each student s quiz questions are in a different order? (5) The volleyball team will include 6 Juniors and 6 Seniors. How many teams can be created if 10 Junior and 14 Seniors try out? (6) Two dice are rolled, what are the odds that both dice will show even numbers?
2 Guiding Question: How likely is it that I will win the lottery? Hint; Not very! Relevant Vocabulary: Sample space, outcome, event, likelihood, probability, fraction, independence, dependence, complimentary probability, conditional probability Questions: In general, to calculate the probability of an event winning the lottery or any other you have to know or at least be able to estimate all possible outcomes and the number of desirable outcomes: Take the lottery for example Example 1 A simple lottery involves selecting a number between 0 and The winner gets 100 dollars. Each ticket costs a dollar. If you buy 20 tickets how likely are you to win the lottery? Of course most lotteries are much more complex. Example 2 In the Texas Lottery you pick six numbers between 1 and 54 inclusive. Each number may only be used once and the order of the numbers does not influence whether you win or lose. If you match all six numbers you win the jackpot. How likely are you to win the jackpot if you buy ten tickets? First ask yourself How many different ways can you select six numbers from a group of 54 without replacement or concerning yourself with order? Hint; is this a permutation or a combination? Then apply the formula. The complimentary probability is instructive here. Subtract your odds of winning from the number 1. The answer you get is the likelihood of losing the lottery. Summary:
3 Guiding Question: How does driving your car influence the odds that you are allergic to dairy? Hint; it doesn t. Questions: What is the difference between dependent and independent events? Drawing numbers for a lottery is a classic example of dependent events because the lottery numbers are removed from the game after they are drawn. That is, the odds of one of your numbers being picked are slightly higher after each number is called. Considering the previous example more closely: Suppose you are the lucky winner and all of your numbers are called. What were the odds of one of your numbers being drawn on the first pull? The second? The third? Ect Draw 1 Draw 2 Draw 3 Draw 4 Draw 5 Draw 6 Describe the pattern and the reasons for the pattern in the table. Let s consider a different kind of lottery that is based on independent events. In this lottery, the outcome of one event will not influence that of the next. Example 3 Six dice are rolled. You choose one number for each dice. If you guess all six dice values correctly you win the jackpot. What are the odds of guessing the correct numbers for each dice? Roll 1 Roll 2 Roll 3 Roll 4 Roll 5 Roll 6 Describe the pattern and the reasons for the pattern in the table. Summary:
4 Guided Practice 1 A die is rolled and a coin is flipped. Are these events independent? What is the likelihood that the dice roll is even and the coin flip is heads? Guided Practice 2 A bag of assorted candy contains 16 pieces, 4 of which are Jolly Ranchers. You draw two candies without replacement. Are the events independent? How likely is it that both candies are Jolly Ranchers? Guided Practice 3 A bag of assorted candy contains 16 pieces, 4 of which are Jolly Ranchers. You draw two candies with replacement. Are the events independent? How likely is it that both candies are Jolly Ranchers? Guided Practice 4 At the end of the 1930s, roughly 12% of American s owned a car. Also in the 1930s, roughly 2% of people were allergic to dairy. Are these independent events? What was the probability of someone with a dairy allergy owning a car in the 1930s? Summary:
5 M n2n0q1l8\ zkrugtxar VS]oafUtCwwairPeD HLZLMCj.] _ EAylPlL NrxiHggh_tHsF NrzeFsveKrRvce\db. Determine whether the events are independent or dependent. Then find the probability. 1) You roll a fair sixsided die twice. The first roll shows a one and the second roll shows a two. 2) A basket contains eight apples and four peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. Both pieces of fruit are apples. 3) A bag contains eight red marbles and five blue marbles. You randomly pick a marble and then return it to the bag before picking another marble. Both the first and second marbles are red. 4) A bag contains eight red marbles and three blue marbles. Another bag contains seven green marbles and eight yellow marbles. You randomly pick one marble from each bag. One marble is blue and one marble is yellow. 5) A basket contains eight apples and eight peaches. You randomly select a piece of fruit and then return it to the basket. Then you randomly select another piece of fruit. Both pieces of fruit are apples. 6) There are thirteen shirts in your closet, seven blue and six green. You randomly select one to wear on Monday and then a different one on Tuesday. You wear blue shirts both days. 7) You select two cards from a standard shuffled deck of 52 cards. Both selected cards are diamonds. (Note that 13 of the 52 cards are diamonds.) 8) There are twelve shirts in your closet, seven blue and five green. You randomly select one to wear on Monday and then a different one on Tuesday. You wear a blue shirt on Monday and a green shirt on Tuesday. 9) There are six nickels and five dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. The first coin is a nickel and the second coin is a dime. 10) A cooler contains fourteen bottles of sports drink: eight lemonlime flavored and six orange flavored. You randomly grab a bottle and give it to your friend. Then, you randomly grab a bottle for yourself. Your friend gets a lemonlime and you get an orange. k `2\0w1F8X WKcuZtnam TSqoHfjtSwiaKruee ILfLxCx.p U PAblNll _railglhjtysz KrMeIsaeXrtvzexdM.a n emlaudcec YwIijt`hK kisnmfeipnsirtuex qa\lagmebbjrra] ]2d. 1 Worksheet by Kuta Software LLC
6 11) A bag contains four red marbles and four blue marbles. Another bag contains seven green marbles and six yellow marbles. You randomly pick one marble from each bag. One marble is blue and one marble is yellow. 12) A basket contains four apples and seven peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. The first piece of fruit is an apple and the second piece is a peach. 13) You flip a coin twice. The first flip lands headsup and the second flip also lands headsup. 14) There are eight nickels and eight dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. The first coin is a nickel and the second coin is a dime. 15) A bag contains eight red marbles and seven blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. Both marbles are red. 16) A cooler contains thirteen bottles of sports drink: five lemonlime flavored and eight orange flavored. You randomly grab a bottle and give it to your friend. Then, you randomly grab a bottle for yourself. You and your friend both get lemonlime. 17) There are four nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. The first coin is a nickel and the second coin is a dime. 18) You flip a coin and then roll a fair sixsided die. The coin lands tailsup and the die shows an odd number. 19) There are fourteen shirts in your closet, eight blue and six green. You randomly select one to wear on Monday and then a different one on Tuesday. You wear blue shirts both days. 20) A cooler contains twelve bottles of sports drink: four lemonlime flavored and eight orange flavored. You randomly grab a bottle and give it to your friend. Then, you randomly grab a bottle for yourself. Your friend gets a lemonlime and you get an orange. ^ B2I0r1k8V IKIuStYaL rsxoyfqtcwwagrve[ flllnck.o b vaolplp jrbitgqhltysv YreeJsYeXrpvDeTdO.p Y vmnajdreu uweiktmht PIbnRfhi_n`iKtDeU jailigoegbqrlab T2e. 2 Worksheet by Kuta Software LLC
Date Period State if each scenario involves a permutation or a combination. Then find the number of possibilities. ncr or npr
Algebra 2 G h2y0cic pk_ultta` LSeoxfftrwFaPrXeq qlolkco.p E nalltls jroifgvhztdso mrxeosbe^ravyeddt. Ultimate Probability Name Date Period State if each scenario involves a permutation or a combination.
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 informationReview: Measures of Central Tendency & Probability May 17
Algebra 1 Mrs. J. Millet Name J \f0[1tc lkzuptsah TSgoffqtBwdatrney PLELRCP.[ T kafldlf Kr^iCgPhNtIsq urgehsqekrxvberd_. Review: Measures of Central Tendency & Probability May 17 Show your work on another
More informationPractice Quiz  Permutations & Combinations
Algebra 2 Practice Quiz  Permutations & Combinations Name Date Period Determine whether the scenario involves independent or dependent events. Then find the probability. 1) A box of chocolates contains
More information7A: I can identify and count the outcomes of an experiment and calculate the theoretical probability of an event.
Geometry ^ t2r0`1c8p QKnuPtha\ esnohfftxwaacrger ililjcs.\ D callklw Jr^iSgDhgtTsD FraeKszerr_vPesdV. Assignment Name ID: 1 Date Period 7A: I can identify and count the outcomes of an experiment and calculate
More informationProbability, Permutations, & Combinations LESSON 11.1
Probability, Permutations, & Combinations LESSON 11.1 Objective Define probability Use the counting principle Know the difference between combination and permutation Find probability Probability PROBABILITY:
More informationName: Probability, Part 1 March 4, 2013
1) Assuming all sections are equal in size, what is the probability of the spinner below stopping on a blue section? Write the probability as a fraction. 2) A bag contains 3 red marbles, 4 blue marbles,
More informationProbability: introduction
May 6, 2009 Probability: introduction page 1 Probability: introduction Probability is the part of mathematics that deals with the chance or the likelihood that things will happen The probability of an
More informationAlgebra 2 m X2K0n1I6X SKbuStYaX OSRohfHtiwfajrTeB rlsl]ce.y t \APlNlH crjigglhothso argefsnezrhv^egdp. HW #4 Example  Probability of Compound Events
m X2K0n1I6X SKbuStYaX OSRohfHtiwfajrTeB rlsl]ce.y t \APlNlH crjigglhothso argefsnezrhv^egdp. 1) A basket contains seven apples and six peaches. You randomly select a piece of fruit and then return it to
More informationConditional 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 informationMost of the time we deal with theoretical probability. Experimental probability uses actual data that has been collected.
AFM Unit 7 Day 3 Notes Theoretical vs. Experimental Probability Name Date Definitions: Experiment: process that gives a definite result Outcomes: results Sample space: set of all possible outcomes Event:
More informationTanning: Week 13 C. D.
Tanning: Week 13 Name: 1. Richard is conducting an experiment. Every time he flips a fair twosided coin, he also rolls a sixsided die. What is the probability that the coin will land on tails and the
More information4.1 Sample Spaces and Events
4.1 Sample Spaces and Events An experiment is an activity that has observable results. Examples: Tossing a coin, rolling dice, picking marbles out of a jar, etc. The result of an experiment is called an
More 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 informationUnit 14 Probability. Target 3 Calculate the probability of independent and dependent events (compound) AND/THEN statements
Target 1 Calculate the probability of an event Unit 14 Probability Target 2 Calculate a sample space 14.2a Tree Diagrams, Factorials, and Permutations 14.2b Combinations Target 3 Calculate the probability
More informationAdvanced Intermediate Algebra Chapter 12 Summary INTRO TO PROBABILITY
Advanced Intermediate Algebra Chapter 12 Summary INTRO TO PROBABILITY 1. Jack and Jill do not like washing dishes. They decide to use a random method to select whose turn it is. They put some red and blue
More 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 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 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,
More informationCompound 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
More informationDependence. Math Circle. October 15, 2016
Dependence Math Circle October 15, 2016 1 Warm up games 1. Flip a coin and take it if the side of coin facing the table is a head. Otherwise, you will need to pay one. Will you play the game? Why? 2. If
More informationProbability WarmUp 1 (Skills Review)
Probability WarmUp 1 (Skills Review) Directions Solve to the best of your ability. (1) Graph the line y = 3x 2. (2) 4 3 = (3) 4 9 + 6 7 = (4) Solve for x: 4 5 x 8 = 12? (5) Solve for x: 4(x 6) 3 = 12?
More informationName. Is the game fair or not? Prove your answer with math. If the game is fair, play it 36 times and record the results.
Homework 5.1C You must complete table. Use math to decide if the game is fair or not. If Period the game is not fair, change the point system to make it fair. Game 1 Circle one: Fair or Not 2 six sided
More informationCOMPOUND EVENTS. Judo Math Inc.
COMPOUND EVENTS Judo Math Inc. 7 th grade Statistics Discipline: Black Belt Training Order of Mastery: Compound Events 1. What are compound events? 2. Using organized Lists (7SP8) 3. Using tables (7SP8)
More informationChapter 1: Sets and Probability
Chapter 1: Sets and Probability Section 1.31.5 Recap: Sample Spaces and Events An is an activity that has observable results. An is the result of an experiment. Example 1 Examples of experiments: Flipping
More information4.3 Rules of Probability
4.3 Rules of Probability If a probability distribution is not uniform, to find the probability of a given event, add up the probabilities of all the individual outcomes that make up the event. Example:
More informationFind the probability of an event by using the definition of probability
LESSON 101 Probability Lesson Objectives Find the probability of an event by using the definition of probability Vocabulary experiment (p. 522) trial (p. 522) outcome (p. 522) sample space (p. 522) event
More informationWhat is the probability Jordan will pick a red marble out of the bag and land on the red section when spinning the spinner?
Name: Class: Date: Question #1 Jordan has a bag of marbles and a spinner. The bag of marbles has 10 marbles in it, 6 of which are red. The spinner is divided into 4 equal sections: blue, green, red, and
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 informationLesson 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
More informationSection 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
More informationPROBABILITY. Example 1 The probability of choosing a heart from a deck of cards is given by
Classical Definition of Probability PROBABILITY Probability is the measure of how likely an event is. An experiment is a situation involving chance or probability that leads to results called outcomes.
More informationAlgebra 1B notes and problems May 14, 2009 Independent events page 1
May 14, 009 Independent events page 1 Independent events In the last lesson we were finding the probability that a 1st event happens and a nd event happens by multiplying two probabilities For all the
More informationMutually Exclusive Events Algebra 1
Name: Mutually Exclusive Events Algebra 1 Date: Mutually exclusive events are two events which have no outcomes in common. The probability that these two events would occur at the same time is zero. Exercise
More informationName: Class: Date: ID: A
Class: Date: Chapter 0 review. A lunch menu consists of different kinds of sandwiches, different kinds of soup, and 6 different drinks. How many choices are there for ordering a sandwich, a bowl of soup,
More informationDirections: Show all of your work. Use units and labels and remember to give complete answers.
AMS II QTR 4 FINAL EXAM REVIEW TRIANGLES/PROBABILITY/UNIT CIRCLE/POLYNOMIALS NAME HOUR This packet will be collected on the day of your final exam. Seniors will turn it in on Friday June 1 st and Juniors
More informationWelcome! U4H2: Worksheet # s 27, 913, 16, 20. Updates: U4T is 12/12. Announcement: December 16 th is the last day I will accept late work.
Welcome! U4H2: Worksheet # s 27, 913, 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
More informationUse Venn diagrams to determine whether the following statements are equal for all sets A and B. 2) A' B', A B Answer: not equal
Test Prep Name Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z} Determine the following. ) (A' C) B' {r, t, v, w, x} Use Venn diagrams to determine whether
More informationSection The Multiplication Principle and Permutations
Section 2.1  The Multiplication Principle and Permutations Example 1: A yogurt shop has 4 flavors (chocolate, vanilla, strawberry, and blueberry) and three sizes (small, medium, and large). How many different
More informationChapter 11: Probability and Counting Techniques
Chapter 11: Probability and Counting Techniques Diana Pell Section 11.3: Basic Concepts of Probability Definition 1. A sample space is a set of all possible outcomes of an experiment. Exercise 1. An experiment
More informationSection 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 information6. In how many different ways can you answer 10 multiplechoice questions if each question has five choices?
PreCalculus Section 4.1 Multiplication, Addition, and Complement 1. Evaluate each of the following: a. 5! b. 6! c. 7! d. 0! 2. Evaluate each of the following: a. 10! b. 20! 9! 18! 3. In how many different
More information2 C. 1 D. 2 4 D. 5 3 C. 25 D. 2
Discrete Math Exam Review Name:. A bag contains oranges, grapefruits, and tangerine. A piece of fruit is chosen from the bag at random. What is the probability that a grapefruit will be chosen from the
More informationSECONDARY 2 Honors ~ Lesson 9.2 Worksheet Intro to Probability
SECONDARY 2 Honors ~ Lesson 9.2 Worksheet Intro to Probability Name Period Write all probabilities as fractions in reduced form! Use the given information to complete problems 13. Five students have the
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 informationProbability of Independent and Dependent Events
706 Practice A Probability of In and ependent Events ecide whether each set of events is or. Explain your answer.. A student spins a spinner and rolls a number cube.. A student picks a raffle ticket from
More 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 informationLesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes
NYS COMMON CORE MAEMAICS CURRICULUM 7 : Calculating Probabilities for Chance Experiments with Equally Likely Classwork Examples: heoretical Probability In a previous lesson, you saw that to find an estimate
More informationA magician showed a magic trick where he picked one card from a standard deck. Determine What is the probability that the card will be a queen card?
Topic : Probability Word Problems Worksheet 1 What is the probability? 1. 2. 3. 4. Jill is playing cards with her friend when she draws a card from a pack of 20 cards numbered from 1 to 20. What is the
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 informationOrder the fractions from least to greatest. Use Benchmark Fractions to help you. First try to decide which is greater than ½ and which is less than ½
Outcome G Order the fractions from least to greatest 4 1 7 4 5 3 9 5 8 5 7 10 Use Benchmark Fractions to help you. First try to decide which is greater than ½ and which is less than ½ Likelihood Certain
More informationMATH CALCULUS & STATISTICS/BUSN  PRACTICE EXAM #1  SPRING DR. DAVID BRIDGE
MATH 205  CALCULUS & STATISTICS/BUSN  PRACTICE EXAM #  SPRING 2006  DR. DAVID BRIDGE TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. Tell whether the statement is
More information6) A) both; happy B) neither; not happy C) one; happy D) one; not happy
MATH 00  PRACTICE TEST 2 Millersville University, Spring 202 Ron Umble, Instr. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find all natural
More informationUnit 7 Central Tendency and Probability
Name: Block: 7.1 Central Tendency 7.2 Introduction to Probability 7.3 Independent Events 7.4 Dependent Events 7.1 Central Tendency A central tendency is a central or value in a data set. We will look at
More informationBell Work. WarmUp Exercises. Two sixsided dice are rolled. Find the probability of each sum or 7
WarmUp Exercises Two sixsided 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? WarmUp Notes Exercises
More informationOption 1: You could simply list all the possibilities: wool + red wool + green wool + black. cotton + green cotton + black
ACTIVITY 6.2 CHOICES 713 OBJECTIVES ACTIVITY 6.2 Choices 1. Apply the multiplication principle of counting. 2. Determine the sample space for a probability distribution. 3. Display a sample space with
More informationCCM6+7+ Unit 11 ~ Page 1. Name Teacher: Townsend ESTIMATED ASSESSMENT DATES:
CCM6+7+ Unit 11 ~ Page 1 CCM6+7+ UNIT 11 PROBABILITY Name Teacher: Townsend ESTIMATED ASSESSMENT DATES: Unit 11 Vocabulary List 2 Simple Event Probability 37 Expected Outcomes Making Predictions 89 Theoretical
More informationLesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes
Lesson : Calculating Probabilities for Chance Experiments with Equally Likely Outcomes Classwork Example : heoretical Probability In a previous lesson, you saw that to find an estimate of the probability
More 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 informationThe Teachers Circle Mar. 20, 2012 HOW TO GAMBLE IF YOU MUST (I ll bet you $5 that if you give me $10, I ll give you $20.)
The Teachers Circle Mar. 2, 22 HOW TO GAMBLE IF YOU MUST (I ll bet you $ that if you give me $, I ll give you $2.) Instructor: Paul Zeitz (zeitzp@usfca.edu) Basic Laws and Definitions of Probability If
More informationStudent Exploration: Permutations and Combinations
Name: Date: Student Exploration: Permutations and Combinations Vocabulary: combination, factorial, permutation Prior Knowledge Question (Do this BEFORE using the Gizmo.) 1. Suppose you have a quarter,
More informationMath 1 Unit 4 MidUnit Review Chances of Winning
Math 1 Unit 4 MidUnit Review Chances of Winning Name My child studied for the Unit 4 MidUnit Test. I am aware that tests are worth 40% of my child s grade. Parent Signature MM1D1 a. Apply the addition
More informationAlgebra 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.
More informationGeorgia Department of Education Common Core Georgia Performance Standards Framework CCGPS Analytic Geometry Unit 7 PREASSESSMENT
PREASSESSMENT Name of Assessment Task: Compound Probability 1. State a definition for each of the following types of probability: A. Independent B. Dependent C. Conditional D. Mutually Exclusive E. Overlapping
More informationProbability. Sometimes we know that an event cannot happen, for example, we cannot fly to the sun. We say the event is impossible
Probability Sometimes we know that an event cannot happen, for example, we cannot fly to the sun. We say the event is impossible Impossible In summer, it doesn t rain much in Cape Town, so on a chosen
More informationKS3 Levels 38. Unit 3 Probability. Homework Booklet. Complete this table indicating the homework you have been set and when it is due by.
Name: Maths Group: Tutor Set: Unit 3 Probability Homework Booklet KS3 Levels 38 Complete this table indicating the homework you have been set and when it is due by. Date Homework Due By Handed In Please
More informationJunior Circle Meeting 5 Probability. May 2, ii. In an actual experiment, can one get a different number of heads when flipping a coin 100 times?
Junior Circle Meeting 5 Probability May 2, 2010 1. We have a standard coin with one side that we call heads (H) and one side that we call tails (T). a. Let s say that we flip this coin 100 times. i. How
More informationSection 11.4: Tree Diagrams, Tables, and Sample Spaces
Section 11.4: Tree Diagrams, Tables, and Sample Spaces Diana Pell Exercise 1. Use a tree diagram to find the sample space for the genders of three children in a family. Exercise 2. (You Try!) A soda machine
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
More 9.9.3 Practice Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer the question. ) In how many ways can you answer the questions on
More informationProbability. 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 information104 Theoretical Probability
Problem of the Day A spinner is divided into 4 different colored sections. It is designed so that the probability of spinning red is twice the probability of spinning green, the probability of spinning
More informationWSMA Compound Probability Lesson 10. The combined likelihood of multiple events is called compound probability.
WSMA Compound Probability Lesson 0 Sometimes you need to know the probability of an event which is really the combination of various actions. It may be several dice rolls, or several cards selected from
More informationLesson 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
More informationA. 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
More informationStudy Island Statistics and Probability
Study Island Statistics and Probability Copyright 2014 Edmentum  All rights reserved. 1. An experiment is broken up into two parts. In the first part of the experiment, a sixsided die is rolled. In the
More informationThe study of probability is concerned with the likelihood of events occurring. Many situations can be analyzed using a simplified model of probability
The study of probability is concerned with the likelihood of events occurring Like combinatorics, the origins of probability theory can be traced back to the study of gambling games Still a popular branch
More informationProbability Review before Quiz. Unit 6 Day 6 Probability
Probability Review before Quiz Unit 6 Day 6 Probability Warmup: Day 6 1. A committee is to be formed consisting of 1 freshman, 1 sophomore, 2 juniors, and 2 seniors. How many ways can this committee be
More informationChapter 13 Test Review
1. The tree diagrams below show the sample space of choosing a cushion cover or a bedspread in silk or in cotton in red, orange, or green. Write the number of possible outcomes. A 6 B 10 C 12 D 4 Find
More 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 informationClassical vs. Empirical Probability Activity
Name: Date: Hour : Classical vs. Empirical Probability Activity (100 Formative Points) For this activity, you will be taking part in 5 different probability experiments: Rolling dice, drawing cards, drawing
More informationHere are two situations involving chance:
Obstacle Courses 1. Introduction. Here are two situations involving chance: (i) Someone rolls a die three times. (People usually roll dice in pairs, so dice is more common than die, the singular form.)
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 informationData Analysis & Probability Counting Techniques & Probability (Notes)
Data Analysis & Probability Counting Techniques & Probability (Notes) Name I can Date Essential Question(s): Key Concepts Notes Fundamental Counting Principle Factorial Permutations Combinations What is
More 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 informationUnit 6: Probability Summative Assessment. 2. The probability of a given event can be represented as a ratio between what two numbers?
Math 7 Unit 6: Probability Summative Assessment Name Date Knowledge and Understanding 1. Explain the difference between theoretical and experimental probability. 2. The probability of a given event can
More informationPart 1: I can express probability as a fraction, decimal, and percent
Name: Pattern: Part 1: I can express probability as a fraction, decimal, and percent For #1 to #4, state the probability of each outcome. Write each answer as a) a fraction b) a decimal c) a percent Example:
More informationBasic Probability. Let! = # 8 # < 13, # N ,., and / are the subsets of! such that  = multiples of four. = factors of 24 / = square numbers
Basic Probability Let! = # 8 # < 13, # N ,., and / are the subsets of! such that  = multiples of four. = factors of 24 / = square numbers (a) List the elements of!. (b) (i) Draw a Venn diagram to show
More information101. Combinations. Vocabulary. Lesson. Mental Math. able to compute the number of subsets of size r.
Chapter 10 Lesson 101 Combinations BIG IDEA With a set of n elements, it is often useful to be able to compute the number of subsets of size r Vocabulary combination number of combinations of n things
More informationCourse Learning Outcomes for Unit V
UNIT V STUDY GUIDE Counting Reading Assignment See information below. Key Terms 1. Combination 2. Fundamental counting principle 3. Listing 4. Permutation 5. Tree diagrams Course Learning Outcomes for
More informationChapter 3: Probability (Part 1)
Chapter 3: Probability (Part 1) 3.1: Basic Concepts of Probability and Counting Types of Probability There are at least three different types of probability Subjective Probability is found through people
More informationStudy Guide Probability SOL s 6.16, 7.9, & 7.10
Study Guide Probability SOL s 6.16, 7.9, & 7.10 What do I need to know for the upcoming assessment? Find the probability of simple events; Determine if compound events are independent or dependent; Find
More informationObjectives. Determine whether events are independent or dependent. Find the probability of independent and dependent events.
Objectives Determine whether events are independent or dependent. Find the probability of independent and dependent events. independent events dependent events conditional probability Vocabulary Events
More informatione. Are the probabilities you found in parts (a)(f) experimental probabilities or theoretical probabilities? Explain.
1. Josh is playing golf. He has 3 white golf balls, 4 yellow golf balls, and 1 red golf ball in his golf bag. At the first hole, he randomly draws a ball from his bag. a. What is the probability he draws
More informationUnit 1 Day 1: Sample Spaces and Subsets. Define: Sample Space. Define: Intersection of two sets (A B) Define: Union of two sets (A B)
Unit 1 Day 1: Sample Spaces and Subsets Students will be able to (SWBAT) describe events as subsets of sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions,
More informationChapter 10 Practice Test Probability
Name: Class: Date: ID: A Chapter 0 Practice Test Probability Multiple Choice Identify the choice that best completes the statement or answers the question. Describe the likelihood of the event given its
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 informationProbability. Dr. Zhang Fordham Univ.
Probability! Dr. Zhang Fordham Univ. 1 Probability: outline Introduction! Experiment, event, sample space! Probability of events! Calculate Probability! Through counting! Sum rule and general sum rule!
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 informationW = {Carrie (U)nderwood, Kelly (C)larkson, Chris (D)aughtry, Fantasia (B)arrino, and Clay (A)iken}
UNIT V STUDY GUIDE Counting Course Learning Outcomes for Unit V Upon completion of this unit, students should be able to: 1. Apply mathematical principles used in realworld situations. 1.1 Draw tree diagrams
More 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 information