Probability, Permutations, & Combinations LESSON 11.1
|
|
- Julie Townsend
- 6 years ago
- Views:
Transcription
1 Probability, Permutations, & Combinations LESSON 11.1
2 Objective Define probability Use the counting principle Know the difference between combination and permutation Find probability
3 Probability PROBABILITY: the measure of the likeliness of an event # of ways to win # of ways to play
4 Probability 1a. What is the probability of rolling a 4 on a 6-sided die? 1b. What is the probability of rolling an even number on a 6-sided die?
5 Probability 2. A bag of candy contains 12 red, 11 yellow, 5 green, 6 orange, 5 blue, and 16 brown candies. a.) What is the probability that you will randomly draw a yellow candy from the bag? b.) What is the probability that you will NOT draw an orange candy from the bag?
6 Sample Space Sample Space is a visual representation of all possible outcomes. 3a. We are going to flip a coin 3 times. Find the sample space.
7 Sample Space 3b. How many outcomes give us at least 2 heads? 3c. Find the probability of getting at least 2 heads.
8 Permutation & Combination If a sample set is too large to list, the number of outcomes and successes can be determined using permutations and combinations. Permutations ORDER MATTERS Combinations order DOES NOT matter
9 Permutation Permutation ORDER MATTERS To calculate the number of permutations, multiply the number of choices possible for each position. This is called the Counting Principle.
10 Permutation 4a. On a 3-question multiple choice quiz, how many different quizzes could be turned in if there are 4 options (a,b,c,d)? 4b. How many different quizzes could be turned in if no answers were repeated?
11 Permutation To calculate permutation without repetition: np r = P n, r = n! n r! where n is the number of objects to choose from and r is the number of object being selected.
12 Permutation Permutations can be calculated with a calculator. a) Type the value of n b) [MATH] PRB npr c) Type the value of r and press enter TRY IT! 5a. P(5,3) b. P(16,5) c. P(25,13)
13 Combination Combination order DOES NOT matter, *object may be repeated nc r = C n, r = n! n r! r!
14 Combination Combinations can be calculated with a calculator. a) Type the value of n b) [MATH] PRB ncr c) Type the value of r and press enter TRY IT! 6a. C(5,3) b. C(16,5) c. C(25,13)
15 Combination 7. Mrs. Mann is picking 4 students to be team leaders. There are 25 students in the class. How many different ways can she pick the 4 students?
16 Combination 8. Super Generic Ice Cream Shoppe has 9 different flavors to put in your ice cream. You can choose 3 flavors to put in a single dish. How many different flavor combinations can you create?
17 Permutation & Combination Permutation OR Combination 9 a. Arrangement of 10 books on a shelf b. Committee of 3 people out of a group of 10 c. Class presidency 1 st is president, 2 nd is VP, etc. d. Draw a hand of 6 cards from a deck of cards e. Number of ways to make a license plate
18 Permutation & Combination THINK! Identify if order matters or doesn t matter FIRST Permutations can use the counting principle, combinations don t Generally: Two things at once Combination One after the other - Permutation
19 Permutation & Combination 10. There are 6 students presenting projects in a history class. The teacher is randomly determining the order in which the students will present. Each student only presents once. Brooke is one of the six students. What is the probability that Brooke will present first?
20 Compound Probabilities If more then 1 event is happening, it creates a Compound Probability. If independent - P AandB = P A P(B) If dependent - P AandB = P A P(BfollowingA)
21 Compound Probabilities 11. From a deck of 52 cards, 3 cards are randomly chosen. They are a 10, Jack, and another 10, in that order. a. Find the probability that this event occurs if each card is replaced after drawn. b. Find the probability that this even occurs if each card is NOT replaced each time.
22 Probability 12. The table bellow lists the items in Jana s closet. She randomly selects 2 items. What is the probability that she will select 2 shirts? Item Number of Each Color Black Blue White Red Purple Shirt Shoes
23 Probability 13. There are 4 nickels, 3 dimes, and 5 quarters in a purse. Find the probability. a. P(1 dime, then 1 nickel, then another dime) without replacement b. P(drawing 3 coins and getting 1 of each)
24 Homework Worksheet 11.1
Probability Warm-Up 2
Probability Warm-Up 2 Directions Solve to the best of your ability. (1) Write out the sample space (all possible outcomes) for the following situation: A dice is rolled and then a color is chosen, blue
More 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 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 informationDate 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 informationWEEK 7 REVIEW. Multiplication Principle (6.3) Combinations and Permutations (6.4) Experiments, Sample Spaces and Events (7.1)
WEEK 7 REVIEW Multiplication Principle (6.3) Combinations and Permutations (6.4) Experiments, Sample Spaces and Events (7.) Definition of Probability (7.2) WEEK 8-7.3, 7.4 and Test Review THE MULTIPLICATION
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 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 informationMath 1116 Probability Lecture Monday Wednesday 10:10 11:30
Math 1116 Probability Lecture Monday Wednesday 10:10 11:30 Course Web Page http://www.math.ohio state.edu/~maharry/ Chapter 15 Chances, Probabilities and Odds Objectives To describe an appropriate sample
More informationMath 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
More information1. 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
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 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 informationA 20% B 25% C 50% D 80% 2. Which spinner has a greater likelihood of landing on 5 rather than 3?
1. At a middle school, 1 of the students have a cell phone. If a student is chosen at 5 random, what is the probability the student does not have a cell phone? A 20% B 25% C 50% D 80% 2. Which spinner
More informationMAT104: Fundamentals of Mathematics II Summary of Counting Techniques and Probability. Preliminary Concepts, Formulas, and Terminology
MAT104: Fundamentals of Mathematics II Summary of Counting Techniques and Probability Preliminary Concepts, Formulas, and Terminology Meanings of Basic Arithmetic Operations in Mathematics Addition: Generally
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 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 information10-4 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 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 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 informationProbability Unit 6 Day 3
Probability Unit 6 Day 3 Warm-up: 1. If you have a standard deck of cards in how many different hands exists of: (Show work by hand but no need to write out the full factorial!) a) 5 cards b) 2 cards 2.
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 informationLearn to find the probability of independent and dependent events.
Learn to find the probability of independent and dependent events. Dependent Insert Lesson Events Title Here Vocabulary independent events dependent events Raji and Kara must each choose a topic from a
More informationTheoretical or Experimental Probability? Are the following situations examples of theoretical or experimental probability?
Name:Date:_/_/ Theoretical or Experimental Probability? Are the following situations examples of theoretical or experimental probability? 1. Finding the probability that Jeffrey will get an odd number
More informationPermutations. and. Combinations
Permutations and Combinations Fundamental Counting Principle Fundamental Counting Principle states that if an event has m possible outcomes and another independent event has n possible outcomes, then there
More information6. 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
More informationLenarz Math 102 Practice Exam # 3 Name: 1. A 10-sided die is rolled 100 times with the following results:
Lenarz Math 102 Practice Exam # 3 Name: 1. A 10-sided die is rolled 100 times with the following results: Outcome Frequency 1 8 2 8 3 12 4 7 5 15 8 7 8 8 13 9 9 10 12 (a) What is the experimental probability
More informationGeorgia 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
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 informationPermutations and Combinations
Permutations and Combinations In statistics, there are two ways to count or group items. For both permutations and combinations, there are certain requirements that must be met: there can be no repetitions
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 informationNwheatleyschaller s The Next Step...Conditional Probability
CK-12 FOUNDATION Nwheatleyschaller s The Next Step...Conditional Probability Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) Meery To access a customizable version of
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 informationPlease place homework on your desk.
Please place homework on your desk. 4/17 Problem of the Day Tony's mother purchases two bags of bagels from the bagel shop. One bag contains eight plain bagels and four cinnamon raisin bagels. The other
More information10-8 Probability of Compound Events
Use any method to find the total number of outcomes in each situation. 6. Nathan has 4 t-shirts, 4 pairs of shorts, and 2 pairs of flip-flops. Use the Fundamental Counting Principle to find the number
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 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 informationFind the probability of an event by using the definition of probability
LESSON 10-1 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 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 informationSTATISTICAL COUNTING TECHNIQUES
STATISTICAL COUNTING TECHNIQUES I. Counting Principle The counting principle states that if there are n 1 ways of performing the first experiment, n 2 ways of performing the second experiment, n 3 ways
More informationGrade 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 informationCHAPTER 9 - COUNTING PRINCIPLES AND PROBABILITY
CHAPTER 9 - COUNTING PRINCIPLES AND PROBABILITY Probability is the Probability is used in many real-world fields, such as insurance, medical research, law enforcement, and political science. Objectives:
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 informationFinite Mathematics MAT 141: Chapter 8 Notes
Finite Mathematics MAT 4: Chapter 8 Notes Counting Principles; More David J. Gisch The Multiplication Principle; Permutations Multiplication Principle Multiplication Principle You can think of the multiplication
More 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 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 information19.2 Permutations and Probability Combinations and Probability.
19.2 Permutations and Probability. 19.3 Combinations and Probability. Use permutations and combinations to compute probabilities of compound events and solve problems. When are permutations useful in calculating
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 informationFundamental Counting Principle
Lesson 88 Probability with Combinatorics HL2 Math - Santowski Fundamental Counting Principle Fundamental Counting Principle can be used determine the number of possible outcomes when there are two or more
More 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 informationLesson 17.1 Assignment
Lesson 17.1 Assignment Name Date Is It Better to Guess? Using Models for Probability Charlie got a new board game. 1. The game came with the spinner shown. 6 7 9 2 3 4 a. List the sample space for using
More informationChapter 5 Probability
Chapter 5 Probability Math150 What s the likelihood of something occurring? Can we answer questions about probabilities using data or experiments? For instance: 1) If my parking meter expires, I will probably
More 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 six-sided die is rolled. In the
More informationpre-hs Probability Based on the table, which bill has an experimental probability of next? A) $10 B) $15 C) $1 D) $20
1. Peter picks one bill at a time from a bag and replaces it. He repeats this process 100 times and records the results in the table. Based on the table, which bill has an experimental probability of next?
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 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 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 information3. Three colors of cars that are I n red, blue and white color is driven sim ultaneously. Draw a tree diagram to represent the possible outcom es.
Topic : Tree Diagram s- Worksheet 1 1. A dice num bered 1 to 4 is rolled and 1 coins tossed. Draw a tree diagram to represent the possible 2. Draw a tree diagram to represent total outcom es for flipping
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 informationMath 3201 Unit 3: Probability Name:
Multiple Choice Math 3201 Unit 3: Probability Name: 1. Given the following probabilities, which event is most likely to occur? A. P(A) = 0.2 B. P(B) = C. P(C) = 0.3 D. P(D) = 2. Three events, A, B, and
More informationFAVORITE MEALS NUMBER OF PEOPLE Hamburger and French fries 17 Spaghetti 8 Chili 12 Vegetarian delight 3
Probability 1. Destiny surveyed customers in a restaurant to find out their favorite meal. The results of the survey are shown in the table. One person in the restaurant will be picked at random. Based
More informationCh Counting Technique
Learning Intentions: h. 10.4 ounting Technique Use a tree diagram to represent possible paths or choices. Learn the definitions of & notations for permutations & combinations, & distinguish between them.
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 real-world situations. 1.1 Draw tree diagrams
More informationTImath.com. Statistics. Too Many Choices!
Too Many Choices! ID: 11762 Time required 40 minutes Activity Overview In this activity, students will investigate the fundamental counting principle, permutations, and combinations. They will find the
More informationUnit 5, Activity 1, The Counting Principle
Unit 5, Activity 1, The Counting Principle Directions: With a partner find the answer to the following problems. 1. A person buys 3 different shirts (Green, Blue, and Red) and two different pants (Khaki
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 informationCounting Methods and Probability
CHAPTER Counting Methods and Probability Many good basketball players can make 90% of their free throws. However, the likelihood of a player making several free throws in a row will be less than 90%. You
More informationIntroduction. Firstly however we must look at the Fundamental Principle of Counting (sometimes referred to as the multiplication rule) which states:
Worksheet 4.11 Counting Section 1 Introduction When looking at situations involving counting it is often not practical to count things individually. Instead techniques have been developed to help us count
More informationFunny Money. The Big Idea. Supplies. Key Prep: What s the Math? Valuing units of money Counting by 5s and 10s. Grades K-2
The Big Idea Funny Money This week we ll take coins to a new level, by comparing their values, buying fun prizes using specific amounts, and playing Rock, Paper, Scissors with them! Supplies Bedtime Math
More informationPermutations and Combinations
Smart Notes.notebook Discrete Math is concerned with counting. Ted TV:How many ways can you arrange a deck of cards? Yannay Khaikin http://ed.ted.com/lessons/how many ways can you arrange a deck of cardsyannay
More informationProbability 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 informationFundamental. 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 informationThe tree diagram and list show the possible outcomes for the types of cookies Maya made. Peppermint Caramel Peppermint Caramel Peppermint Caramel
Compound Probabilities using Multiplication and Simulation Lesson 4.5 Maya was making sugar cookies. She decorated them with one of two types of frosting (white or pink), one of three types of sprinkles
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 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 3-7 Expected Outcomes Making Predictions 8-9 Theoretical
More informationCOUNTING METHODS. Methods Used for Counting
Ch. 8 COUNTING METHODS From our preliminary work in probability, we often found ourselves wondering how many different scenarios there were in a given situation. In the beginning of that chapter, we merely
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 informationFundamentals of Probability
Fundamentals of Probability Introduction Probability is the likelihood that an event will occur under a set of given conditions. The probability of an event occurring has a value between 0 and 1. An impossible
More informationACTIVITY: 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
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 1-3. Five students have the
More informationTanning: Week 13 C. D.
Tanning: Week 13 Name: 1. Richard is conducting an experiment. Every time he flips a fair two-sided coin, he also rolls a six-sided die. What is the probability that the coin will land on tails and the
More informationPrinciples of Mathematics 12: Explained!
www.math12.com 284 Lesson 2, Part One: Basic Combinations Basic combinations: In the previous lesson, when using the fundamental counting principal or permutations, the order of items to be arranged mattered.
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 informationFundamental Counting Principle
11 1 Permutations and Combinations You just bought three pairs of pants and two shirts. How many different outfits can you make with these items? Using a tree diagram, you can see that you can make six
More informationChapter 5 - Elementary Probability Theory
Chapter 5 - Elementary Probability Theory Historical Background Much of the early work in probability concerned games and gambling. One of the first to apply probability to matters other than gambling
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 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 informationFoundations 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
More informationUNIT 5: RATIO, PROPORTION, AND PERCENT WEEK 20: Student Packet
Name Period Date UNIT 5: RATIO, PROPORTION, AND PERCENT WEEK 20: Student Packet 20.1 Solving Proportions 1 Add, subtract, multiply, and divide rational numbers. Use rates and proportions to solve problems.
More informationUnit 19 Probability Review
. What is sample space? All possible outcomes Unit 9 Probability Review 9. I can use the Fundamental Counting Principle to count the number of ways an event can happen. 2. What is the difference between
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 informationPERMUTATIONS AND COMBINATIONS
PERMUTATIONS AND COMBINATIONS 1. Fundamental Counting Principle Assignment: Workbook: pg. 375 378 #1-14 2. Permutations and Factorial Notation Assignment: Workbook pg. 382-384 #1-13, pg. 526 of text #22
More informationPark Forest Math Team. Meet #5. Self-study Packet
Park Forest Math Team Meet #5 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. Geometry: Angle measures in plane figures including supplements and complements 3. Number
More informationMATH STUDENT BOOK. 8th Grade Unit 10
MATH STUDENT BOOK 8th Grade Unit 10 Math 810 Probability Introduction 3 1. Outcomes 5 Tree Diagrams and the Counting Principle 5 Permutations 12 Combinations 17 Mixed Review of Outcomes 22 SELF TEST 1:
More informationFundamental Counting Principle 2.1 Page 66 [And = *, Or = +]
Math 3201 Assignment 2 Unit 2 Counting Methods Name: Fundamental Counting Principle 2.1 Page 66 [And = *, Or = +] Identify the choice that best completes the statement or answers the question. Show all
More informationCounting techniques and more complex experiments (pp ) Counting techniques determining the number of outcomes for an experiment
Counting techniques and more complex experiments (pp. 618 626) In our introduction to probability, we looked at examples of simple experiments. These examples had small sample spaces and were easy to evaluate.
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 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 informationNAME 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.
More informationThese Are A Few of My Favorite Things
LESSON.1 Skills Practice Name Date These Are A Few of My Favorite Things Modeling Probability Vocabulary Match each term to its corresponding definition. 1. event a. all of the possible outcomes in a probability
More informationCanadian Money Unit. By Jessicca Nielsen
Canadian Money Unit By Jessicca Nielsen Table of Contents 1. Canadian money poster and worksheet 2. Counting nickels worksheet 3. Counting dimes worksheet 4. Counting money worksheet #1 5. Counting money
More information