Sec: 12.1. Outcome – result of a single trial. Sample space – List of all possible outcomes. Event – consists of one or more outcomes of a trial. Independent.

Slides:



Advertisements
Similar presentations
Mrs Patek has three pairs of capri pants, a black pair, a tan pair and a blue pair. She also has two different T- shirts, one white and one pink. Make.
Advertisements

Opting for combinations or permutations TY Maths CBSKK
Combinations, Permutations, and the Fundamental Counting Principle.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–1) Main Idea and Vocabulary Key Concept: Probability of Independent Events Example 1:Probability.
When dealing with the occurrence of more than one event, it is important to be able to quickly determine how many possible outcomes exist.
Chapter 2 Section 2.4 Permutations and Combinations.
Bell Ringer January 26, 2015 School Day 101
4.1. Fundamental Counting Principal Find the number of choices for each option and multiply those numbers together. Lets walk into TGIF and they are offering.
Do Now Suppose Shaina’s coach has 4 players in mind for the first 4 spots in the lineup. Determine the number of ways to arrange the first four batters.
Ingredients on a Pizza What do you like on your pizza? Extended Activity PPT41.
Permutations and Combinations. Random Things to Know.
Warm Up Decide whether each event is independent or dependent. Explain your answer. 1. Bill picks a king from a pile of cards and keeps it. On his next.
40S Applied Math Mr. Knight – Killarney School Slide 1 Unit: Probability Lesson: PR-4 Fundamental Counting Principle Fundamental Counting Principle Learning.
Lesson 14.1 Probability and the Basic Counting Principle.
Combinations and Permutations
12.1 The Counting Principle. Vocabulary  Independent Events: choice of one thing DOES NOT affect the choice of another  Dependent Events: choice of.
Chapter 12 – Probability and Statistics 12.1 – The Counting Principle.
Formulas and Principles. Math I Unit 4 If one event can occur in m ways and another event can occur in n ways, then the number of ways that both events.
Find the number of outcomes 1) At a pizza place you can order thin or thick crust, one meat topping (sausage, pepperoni, ham), and one vegi (onions, mushrooms,
(13 – 1) The Counting Principle and Permutations Learning targets: To use the fundamental counting principle to count the number of ways an event can happen.
10-7 Combinations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.
The Counting Principle Advanced Math Topics. Vocabulary Independent Events: choice of one thing does NOT affect the choice of another Independent Events:
Day 18 Basic Counting Rule. Probabilities Related concepts: Experiment, Event, Sample Space If we assume all sample points are equally likely, the probability.
Chapter 7: Probability Chapter Review Mrs. Parziale.
What are we doing today? Have calculator handy Notes: Basic Combinatorics Go over quiz Homework.
The Fundamental Counting Principle states that if there are x ways to choose a first item and y ways to choose a second item, then there are x(y) ways.
Motivation Suppose you want tacos for lunch. The cafeteria has three tortilla choices: corn, flour and hard shell and four meat choices: ground beef,
Use Combinations and the Binomial Theorem
Topic 4A: Independent and Dependent Events Using the Product Rule
Warm Up Find the theoretical probability of each outcome 1. rolling a 6 on a number cube. 2. rolling an odd number on a number cube. 3. flipping two coins.
1 Tree Diagrams. 2 A tree diagram is an organized list that can help you determine the number of possible outcomes. – You start off a tree diagram by.
12.4 Counting Outcomes and Theoretical Probability.
SCENARIO A John can take three classes a day. For first period, he can choose math or English. For second period, he can choose history, science, or computer.
T HEORETICAL P ROBABILITY Lesson 16. WARM UP Name the property illustrated = = 0 2(x + 5) = 2x (3 + 5) = (2 + 3) + 5.
 Roll a die, flip a coin  Unique 3 letter arrangements of CAT  Unique 4 digit arrangements of 1, 2, 3, 4.
11-6 Combinations Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
Transparency 3 Click the mouse button or press the Space Bar to display the answers.
Permutations and Combinations
Warm up 7! 4! Answers: ) 4) 5).
Basic Counting Principle
Honors PreCalculus: Section 9.1 Basic Combinatorics.
Aim: ‘And’ Probabilities & Independent Events Course: Math Lit. Aim: How do we determine the probability of compound events? Do Now: What is the probability.
Day 17: Data and Probability Goal: To find the probability of independent or dependent events AND To solve problems involving permutations and combinations.
9-4 Permutations (pg ) Indicator – D7. Permutation: an arrangement, or listing, of objects in which order is important (you can use the to find.
Monday, March 31, 2014 AIM: What is the Multiplication Counting Principle?  DO NOW: Kimberly has three pair of pants: one black, one red, and one tan.
Warm Up For a main dish, you can choose steak or chicken; your side dish can be rice or potatoes; and your drink can be tea or water. Make a tree diagram.
Mrs Patek has three pairs of capri pants, a black pair, a tan pair and a blue pair. She also has two different T- shirts, one white and one pink. Make.
Math 1320 Chapter 7: Probability 7.4 Probability and Counting Techniques.
Discrete Math Section 15.2 Apply the multiplication, addition, and complement principles My wardrobe consists of two pairs of pants and four shirts. How.
THE COUNTING PRINCIPLE CHAPTER 12 LESSON 1. VOCABULARY Outcome- The result of a probability experiment or an event. Sample Space- The set of all possible.
Divider – chooser method
Other Topping Sauce Ice Cream Vanilla Choc. Straw
Algebra 2 Tuesday Discussion/Notes/Guided Practice
Combinations 11-6 Warm Up Problem of the Day Lesson Presentation
12.1 The Counting Principle (Crash Course in Probability)
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Probability Chapter 8.
Permutations and Combinations
Permutations and Combinations
Experiment outcomes outcome trial outcomes experiment possible outcomes.
Determining the Number of Possible Outcomes
Counting Principle.
Counting Outcomes.
Section 12.1 The Counting Principle
Counting Methods and Probability Theory
Unit 5A Probability Permutations.
Do Now Check Homework A B C D.
Tree Diagrams Monday, October 15, 2012 Mr. Pearson
Compound Events – Independent and Dependent
MATH 2311 Section 2.1.
Presentation transcript:

Sec: 12.1

Outcome – result of a single trial. Sample space – List of all possible outcomes. Event – consists of one or more outcomes of a trial. Independent event – each choice does not affect other options.

Example: Crust  Thin Hand tossed Meat  Pepperoni Sausage Ham Bacon Veggie  Onion Mushroom Green peppers Sauce  Red White If you can only choose one Item from each category how many different pizza can you make?

Dependent Events – outcomes affect other events. Example: Michael wants to take 6 different classes next year. Assuming that each class is offered each period, how many different schedules could he have? Factorial – when you multiply numbers in descending order. Written as 6! Calculator: 6 Math  PRB #4 Period1 st 2 nd 3 rd 4 th 5 th 6 th Number of choices

Chris has homework in Math, Chemistry and English. How many ways can he choose the order to complete his homework? You have a 5 question– multiple choice test, which has A, B, C, D choices. How many different ways can you answer the test?

Classwork: State whether the events are independent or dependent. 1. Choosing the color and size of a pair of shoes. 2. Choosing the winner and runner-up of a dog show. Solve each Problem: 3. An ice cream shop offers a choice or two types of cones and 15 flavors of ice cream. How many different 1 scoop ice cream cones can a customer order? 4. Lances’ math quiz has 8 true-false questions. How many different choices for giving answer to the 8 questions are possible? 5. For a college application, Macawi must select one of five topics on which to write a short essay. She must also select a different topic from the list for a longer essay. How many ways can she choose topics for the two essays.

Homework Pg , 17, 18