1. Simplify 5! 2. Simplify P(4,3) 3. Simplify C(8,5) ? 6. Simplify 5
|
|
|
- Ashlyn Newton
- 5 years ago
- Views:
Transcription
1 Algebra 2 Trig H 11.4 and 11.5 Review Complete the following without a calculator: 1. Simplify 5! 2. Simplify P(4,3) 3. Simplify C(8,5) 4. Solve 12C5 12 C 5. Simplify? nc 2? 6. Simplify 5 P 2 7. Simplify x 1 P 8. Simplify C 9. Simplify x 1 x 0 x 2Cx How many different words can be formed using all of the letters in PROBABILITY? 11. If six people compete for a medal at the Olympics, how many ways can three people be chosen to win the gold, silver and bronze medals? 12. Four students are selected from a home economics class of 16 students to form a committee to advise the cafeteria director about food. How many different committees can be formed? 13. There are four candidates for homecoming queen and three candidates for king. How many king-queen pairs are possible? 14. How many 9-digit social security numbers are there? The only restriction is that a number cannot begin with How many different license plates begin with two digits, followed by two letters and then three digits if no letter or digits repeat?
2 Baskin Robbins has 31 flavors, 6 of them being fat free. Of the fat free variety, 3 have cookies. Of the non-fat free variety, 17 have cookies. Baskin Robbins also offers the following toppings: hot fudge, caramel, butterscotch, sprinkles, chocolate chips, and cherries. 16. How many ways are there to arrange the toppings in the display case? 17. How many ways can a person choose 2 toppings for their sundae? 18. What is the probability of choosing ice cream that is fat free or has cookies? 19. How many ways are there to arrange the letters in VANILLA? 20. Mrs. Green goes to Baskin Robbins three days in a row and gets one scoop of ice cream each day. How many different ways could she have had ordered ice cream? 21. Baskin Robbins is having a favorite ice cream competition, where customers get to vote on their favorite ice cream. How many ways can a first, second, and third place favorite be named? 22. How many ways can 8 people sit around a circular table? 23. Using the letters in the word COMPUTER: a. In how many ways could you pick a vowel and a consonant? b. In how many ways could you pick a consonant or a vowel? c. In how many ways could you select a vowel and then another vowel? d. How many different four-letter words could you make using no letter more than once? e. How many different four-letter words could you make with repetition of the letters allowed?
3 One card is chosen from a standard deck of cards. Find the probability of each situation occurring. 24. P(red or King) 25. P(the 2 of spades) 26. P(heart or Queen) 27. P(at most a 10 of any suit) Two cards are chosen from the standard deck of cards. Find the probability of each situation occurring. 28. P(club, then spade), replacement 29. P(club, then club), no replacement 30. P(Ace, then King), no replacement 31. P(King, then Joker), replacement A five card hand it dealt from a standard deck of cards. Find the probabilities below and leave your answer as an expression. 32. P(3 clubs, 2 spades) 33. P(exactly 3 clubs) 34. P(no spades) 35. P(all diamonds) 36. P(all cards of the same suit) 37. P(exactly 2 Kings and exactly 2 Aces)
4 38. You throw a pair of dice one red, the other black a. P(the sum is at least three) b. P(the sum is between three and eleven, inclusive) c. (the red die is a three or the black die is a four) 39. There are 3 red pens and 5 black pens on the desk. If 4 are selected at random, what is the probability that: a. exactly 1 pen is red b. all of the pens are black 40. An ordinary deck of playing cards is used to play a game in which you are dealt a 7 card hand. Find the probability that: a. you have exactly three red cards and four black cards b. you have the ace of hearts c. you have all spades 41. On your spring break camping trip the probability of you breaking your arm is 0.07 and the probability of spraining your ankle is What is the probability that you will: a. not get injured at all? b. Get at least one injury?
5 43. A short multiple choice test has 5 questions. Each question has 4 choices, exactly one of which is right. Assume that you are not experienced in the subject, so you guess randomly to choose the answers. a. What is the probability of guessing any one answer right? Wrong? b. Calculate the probability of guessing 0,1,2,3,4, or 5 answers correct. c. You will pass the test is you get 4 answers right. What is the probability of passing? 44. A certain part inside of a factory machine has a probability of 0.95 that it will work. In the entire factory there are 100 of these parts. What is the probability that all of the parts will work? 46. The varsity dodgeball team of 4 boys and 8 girls makes it to sectionals. Their coach, Mrs. Beam, will take 7 of them to sectionals. What is the probability that Mrs. Beam selects a. 2 boys and 5 girls? b. all girls? c. all boys? d. Liam, their star player 47. Two dice are rolled, a blue one and a green one. a. P(blue one has a 4 and the green one has a 3) b. P(4 and a 3) c. P(odd number on the blue and a multiple of 3 for the green)
6 48. Tiffany s has 514 necklaces and 120 pieces containing pearls. 75 of the pieces are pearl necklaces. How many of the pieces are necklaces or contain peals? 49. Ms. S challenges her class to guess the code word she is thinking of. The winner gets a full month without homework. She tells the class that the code has one letter and three digits. Now be careful, she didn t say where the letter is. a. How many codes are there possible? b. She hints that the code has no digit that repeats. Now how many codes possible? c. She forgot to tell you, she does not like the unlucky number seven so I know she would not put a seven in her code. Now how many codes are possible? d. She just remembered, she does not like the letters B, D, E, and T so none of them are in her code word with all different digits and no number seven! So how many code words are possible? e. Now that you know all the things about her code word, what is the probability you guessed it? 50. The Cubs and the White Sox are finally playing each other in the World Series. It is estimated that the White Sox have about a 65% chance of winning any one game. To win the world series, a team must win 4 out of 7 games. What is the probability that the White Sox will win in exactly 6 games?
Alg 2/Trig Honors Qtr 3 Review
Alg 2/Trig Honors Qtr 3 Review Chapter 5 Exponents and Logs 1) Graph: a. y 3x b. y log3 x c. y log2(x 2) d. y 2x 1 3 2) Solve each equation. Find a common base!! a) 52n 1 625 b) 42x 8x 1 c) 27x 9x 6 3)
PROBABILITY. 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.
April 10, ex) Draw a tree diagram of this situation.
April 10, 2014 12-1 Fundamental Counting Principle & Multiplying Probabilities 1. Outcome - the result of a single trial. 2. Sample Space - the set of all possible outcomes 3. Independent Events - when
Advanced 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
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
Unit 1 Day 1: Sample Spaces and Subsets. Define: Sample Space. Define: Intersection of two sets (A B) Define: Union of two sets (A B)
Unit 1 Day 1: Sample Spaces and Subsets Students will be able to (SWBAT) describe events as subsets of sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions,
Section 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
Venn Diagram Problems
Venn Diagram Problems 1. In a mums & toddlers group, 15 mums have a daughter, 12 mums have a son. a) Julia says 15 + 12 = 27 so there must be 27 mums altogether. Explain why she could be wrong: b) There
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.
ATHS FC Math Department Al Ain Remedial worksheet. Lesson 10.4 (Ellipses)
ATHS FC Math Department Al Ain Remedial worksheet Section Name ID Date Lesson Marks Lesson 10.4 (Ellipses) 10.4, 10.5, 0.4, 0.5 and 0.6 Intervention Plan Page 1 of 19 Gr 12 core c 2 = a 2 b 2 Question
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
Probability Study Guide Date Block
Probability Study Guide Name Date Block In a regular deck of 52 cards, face cards are Kings, Queens, and Jacks. Find the following probabilities, if one card is drawn: 1)P(not King) 2) P(black and King)
Theoretical 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
Independent 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
Math 130 Sample Exam 4
Math 130 Sample Exam 4 (Note that the actual exam will have 24 questions.) 1) Kansas used three letters (excluding Q and X) followed by three digits on license plates. How many license plates are possible?
Honors Precalculus Chapter 9 Summary Basic Combinatorics
Honors Precalculus Chapter 9 Summary Basic Combinatorics A. Factorial: n! means 0! = Why? B. Counting principle: 1. How many different ways can a license plate be formed a) if 7 letters are used and each
Permutations and Combinations Practice Test
Name: Class: Date: Permutations and Combinations Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Suppose that license plates in the fictional
Nwheatleyschaller 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
Name: 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,
the total number of possible outcomes = 1 2 Example 2
6.2 Sets and Probability - A useful application of set theory is in an area of mathematics known as probability. Example 1 To determine which football team will kick off to begin the game, a coin is tossed
Fundamentals 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
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
More 9.-9.3 Practice Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer the question. ) In how many ways can you answer the questions on
These Probability NOTES Belong to:
hese Probability NOES elong to: Date opic Notes Questions. Intro 2. And & Or 3. Dependant & Independent. Dependant & Independent 5. Conditional 6. Conditional 7. Combinations & Permutations 8. inomial
Name: Class: Date: 6. An event occurs, on average, every 6 out of 17 times during a simulation. The experimental probability of this event is 11
Class: Date: Sample Mastery # Multiple Choice Identify the choice that best completes the statement or answers the question.. One repetition of an experiment is known as a(n) random variable expected value
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
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
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
Here 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.)
Unit 9: Probability Assignments
Unit 9: Probability Assignments #1: Basic Probability In each of exercises 1 & 2, find the probability that the spinner shown would land on (a) red, (b) yellow, (c) blue. 1. 2. Y B B Y B R Y Y B R 3. Suppose
3 The multiplication rule/miscellaneous counting problems
Practice for Exam 1 1 Axioms of probability, disjoint and independent events 1. Suppose P (A) = 0.4, P (B) = 0.5. (a) If A and B are independent, what is P (A B)? What is P (A B)? (b) If A and B are disjoint,
Classical 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
The 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
In how many ways can a team of three snow sculptors be chosen to represent Amir s school from the nine students who have volunteered?
4.6 Combinations GOAL Solve problems involving combinations. LEARN ABOUT the Math Each year during the Festival du Voyageur, held during February in Winnipeg, Manitoba, high schools compete in the Voyageur
MATH 13150: Freshman Seminar Unit 4
MATH 1150: Freshman Seminar Unit 1. How to count the number of collections The main new problem in this section is we learn how to count the number of ways to pick k objects from a collection of n objects,
Finite Math B, Chapter 8 Test Review Name
Finite Math B, Chapter 8 Test Review Name Evaluate the factorial. 1) 6! A) 720 B) 120 C) 360 D) 1440 Evaluate the permutation. 2) P( 10, 5) A) 10 B) 30,240 C) 1 D) 720 3) P( 12, 8) A) 19,958,400 B) C)
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
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.
MAT104: 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
Intermediate Math Circles November 1, 2017 Probability I
Intermediate Math Circles November 1, 2017 Probability I Probability is the study of uncertain events or outcomes. Games of chance that involve rolling dice or dealing cards are one obvious area of application.
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
Individual 5 th Grade
Individual 5 th Grade Instructions: Problems 1 10 are multiple choice and count towards your team score. Bubble in the letter on your answer sheet. Be sure to erase all mistakes completely. 1. Which one
STATISTICAL 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
STANDARD COMPETENCY : 1. To use the statistics rules, the rules of counting, and the characteristic of probability in problem solving.
Worksheet 4 th Topic : PROBABILITY TIME : 4 X 45 minutes STANDARD COMPETENCY : 1. To use the statistics rules, the rules of counting, and the characteristic of probability in problem solving. BASIC COMPETENCY:
Ovals and Diamonds and Squiggles, Oh My! (The Game of SET)
Ovals and Diamonds and Squiggles, Oh My! (The Game of SET) The Deck: A Set: Each card in deck has a picture with four attributes shape (diamond, oval, squiggle) number (one, two or three) color (purple,
Chapter-wise questions. Probability. 1. Two coins are tossed simultaneously. Find the probability of getting exactly one tail.
Probability 1. Two coins are tossed simultaneously. Find the probability of getting exactly one tail. 2. 26 cards marked with English letters A to Z (one letter on each card) are shuffled well. If one
3 The multiplication rule/miscellaneous counting problems
Practice for Exam 1 1 Axioms of probability, disjoint and independent events 1 Suppose P (A 0, P (B 05 (a If A and B are independent, what is P (A B? What is P (A B? (b If A and B are disjoint, what is
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
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
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
Introduction. 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
A 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
Organized Counting 4.1
4.1 Organized Counting The techniques and mathematical logic for counting possible arrangements or outcomes are useful for a wide variety of applications. A computer programmer writing software for a game
Objective: Determine empirical probability based on specific sample data. (AA21)
Do Now: What is an experiment? List some experiments. What types of things does one take a "chance" on? Mar 1 3:33 PM Date: Probability - Empirical - By Experiment Objective: Determine empirical probability
LC 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
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:
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
Grade 6 Math Circles Winter February 10/11 Counting
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Centre for Education in Mathematics and Computing Grade 6 Math Circles Winter 2015 - February 10/11 Counting What is Counting? When you think of the word
Probability Day CIRCULAR PERMUTATIONS
Probability Day 4-11.4 CIRCULAR PERMUTATIONS Ex. 1 How many ways are there to arrange 4 people around a table? (see SmartBoard link) Ex. 2 How many circular permutations are there of: a. V W X Y Z b. M
Principles 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.
Counting 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
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
MULTIPLE 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
13 Probability CHAPTER. Chapter Outline. Chapter 13. Probability
Chapter 13 www.ck12.org Chapter 13. Probability CHAPTER 13 Probability Chapter Outline 13.1 INTRODUCTION TO PROBABILITY 13.2 PERMUTATIONS AND COMBINATIONS 13.3 THE FUNDAMENTAL COUNTING PRINCIPLE 13.4 THE
Name: Spring P. Walston/A. Moore. Topic worksheet # assigned #completed Teacher s Signature Tree Diagrams FCP
Name: Spring 2016 P. Walston/A. Moore Topic worksheet # assigned #completed Teacher s Signature Tree Diagrams 1-0 13 FCP 1-1 16 Combinations/ Permutations Factorials 1-2 22 1-3 20 Intro to Probability
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.
Elementary Combinatorics
184 DISCRETE MATHEMATICAL STRUCTURES 7 Elementary Combinatorics 7.1 INTRODUCTION Combinatorics deals with counting and enumeration of specified objects, patterns or designs. Techniques of counting are
Principles of Counting
Name Date Principles of Counting Objective: To find the total possible number of arrangements (ways) an event may occur. a) Identify the number of parts (Area Codes, Zip Codes, License Plates, Password,
Mutually Exclusive Events
Mutually Exclusive Events Suppose you are rolling a six-sided die. What is the probability that you roll an odd number and you roll a 2? Can these both occur at the same time? Why or why not? Mutually
This unit will help you work out probability and use experimental probability and frequency trees. Key points
Get started Probability This unit will help you work out probability and use experimental probability and frequency trees. AO Fluency check There are 0 marbles in a bag. 9 of the marbles are red, 7 are
PLAYERS AGES MINS.
2-4 8+ 20-30 PLAYERS AGES MINS. COMPONENTS: (123 cards in total) 50 Victory Cards--Every combination of 5 colors and 5 shapes, repeated twice (Rainbow Backs) 20 Border Cards (Silver/Grey Backs) 2 48 Hand
I. WHAT IS PROBABILITY?
C HAPTER 3 PROAILITY Random Experiments I. WHAT IS PROAILITY? The weatherman on 10 o clock news program states that there is a 20% chance that it will snow tomorrow, a 65% chance that it will rain and
Find 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
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
Park 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
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.
a) Find the probability that a visitor will visit Central Park or Times Square.
Name: Date: Unit 7 Review 1) A florist has 2 different vases that they use for floral arrangements. There are 3 different flowers that they can use in the vase, and 3 different colors of ribbon to tie
Probability --QUESTIONS-- Principles of Math 12 - Probability Practice Exam 1
Probability --QUESTIONS-- Principles of Math - Probability Practice Exam www.math.com Principles of Math : Probability Practice Exam Use this sheet to record your answers:... 4... 4... 4.. 6. 4.. 6. 7..
Exercises Exercises. 1. List all the permutations of {a, b, c}. 2. How many different permutations are there of the set {a, b, c, d, e, f, g}?
Exercises Exercises 1. List all the permutations of {a, b, c}. 2. How many different permutations are there of the set {a, b, c, d, e, f, g}? 3. How many permutations of {a, b, c, d, e, f, g} end with
Chapter 1: Sets and Probability
Chapter 1: Sets and Probability Section 1.3-1.5 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
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
CS 237 Fall 2018, Homework SOLUTION
0//08 hw03.solution.lenka CS 37 Fall 08, Homework 03 -- SOLUTION Due date: PDF file due Thursday September 7th @ :59PM (0% off if up to 4 hours late) in GradeScope General Instructions Please complete
Chapter 2. Permutations and Combinations
2. Permutations and Combinations Chapter 2. Permutations and Combinations In this chapter, we define sets and count the objects in them. Example Let S be the set of students in this classroom today. Find
Up & Down GOAL OF THE GAME UP&DOWN CARD A GAME BY JENS MERKL & JEAN-CLAUDE PELLIN ART BY CAMILLE CHAUSSY
Up & Down A GAME BY JENS MERKL & JEAN-CLAUDE PELLIN ART BY CAMILLE CHAUSSY GOAL OF THE GAME UP&DOWN is a trick taking game with plenty of ups and downs. This is because prior to each trick, one of the
Study 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
Probability. 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
0-5 Adding Probabilities. 1. CARNIVAL GAMES A spinner has sections of equal size. The table shows the results of several spins.
1. CARNIVAL GAMES A spinner has sections of equal size. The table shows the results of several spins. d. a. Copy the table and add a column to show the experimental probability of the spinner landing on
PROBABILITY. 1. Introduction. Candidates should able to:
PROBABILITY Candidates should able to: evaluate probabilities in simple cases by means of enumeration of equiprobable elementary events (e.g for the total score when two fair dice are thrown), or by calculation
Q1) 6 boys and 6 girls are seated in a row. What is the probability that all the 6 gurls are together.
Required Probability = where Q1) 6 boys and 6 girls are seated in a row. What is the probability that all the 6 gurls are together. Solution: As girls are always together so they are considered as a group.
(a) Suppose you flip a coin and roll a die. Are the events obtain a head and roll a 5 dependent or independent events?
Unit 6 Probability Name: Date: Hour: Multiplication Rule of Probability By the end of this lesson, you will be able to Understand Independence Use the Multiplication Rule for independent events Independent
This Probability Packet Belongs to:
This Probability Packet Belongs to: 1 2 Station #1: M & M s 1. What is the sample space of your bag of M&M s? 2. Find the theoretical probability of the M&M s in your bag. Then, place the candy back into
Classical Definition of Probability Relative Frequency Definition of Probability Some properties of Probability
PROBABILITY Recall that in a random experiment, the occurrence of an outcome has a chance factor and cannot be predicted with certainty. Since an event is a collection of outcomes, its occurrence cannot
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
UNIT 4 APPLICATIONS OF PROBABILITY Lesson 1: Events. Instruction. Guided Practice Example 1
Guided Practice Example 1 Bobbi tosses a coin 3 times. What is the probability that she gets exactly 2 heads? Write your answer as a fraction, as a decimal, and as a percent. Sample space = {HHH, HHT,
STATISTICS and PROBABILITY GRADE 6
Kansas City Area Teachers of Mathematics 2016 KCATM Math Competition STATISTICS and PROBABILITY GRADE 6 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may use
Chapter 4: Introduction to Probability
MTH 243 Chapter 4: Introduction to Probability Suppose that we found that one of our pieces of data was unusual. For example suppose our pack of M&M s only had 30 and that was 3.1 standard deviations below
Chapter 2 Math
Chapter 2 Math 3201 1 Chapter 2: Counting Methods: Solving problems that involve the Fundamental Counting Principle Understanding and simplifying expressions involving factorial notation Solving problems
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,
Class XII Chapter 13 Probability Maths. Exercise 13.1
Exercise 13.1 Question 1: Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E F) = 0.2, find P (E F) and P(F E). It is given that P(E) = 0.6, P(F) = 0.3, and P(E F) = 0.2 Question 2:
Objectives. 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
Chapter 5: Probability: What are the Chances? Section 5.2 Probability Rules
+ Chapter 5: Probability: What are the Chances? Section 5.2 + Two-Way Tables and Probability When finding probabilities involving two events, a two-way table can display the sample space in a way that