SP 2015 Tree Diagrams and Sample Space. Video 1 Video 2.

Slides:

Advertisements

Similar presentations

Lesson 6 (4 th 6 Weeks) TEKS 6.9A. The chance of something happening.

Advertisements

Probability of Compound Events

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.

Probability Jeopardy Final Jeopardy Simple Probabilities Permutations or Combinations Counting Principle Fractions Decimals Spinners Potpourri Q $100.

Probability. The probability of an event occurring is between 0 and 1 If an event is certain not to happen, the probability is 0 eg: the probability of.

Probability Tree Diagrams

Probability Jeopardy Final Jeopardy Simple Probabilities Permutations or Combinations Counting Principle Find the Probability Independent Dependent Q.

13-1 Representing Sample Spaces You calculated experimental probability. Use lists, tables, and tree diagrams to represent sample spaces. Use the Fundamental.

Math I UNIT QUESTION: How do you use probability to make plans and predict for the future? Standard: MM1D1-3 Today’s Question: How can I find the different.

Transparency 7 Click the mouse button or press the Space Bar to display the answers.

12-3 Counting Methods and Sample Spaces Warm Up Problem of the Day

Let’s say you had 2 flavors of ice cream (Chocolate, Strawberry), 2 cones (Waffle, Sugar), and 4 toppings (Nuts, M&M’s, Oreo, Butterfinger). Create a tree.

Section 10.1 A Counting Principle The Counting Principle andFactorials.

Jeopardy ProbabilityFinding Outcomes ProportionsRates and Ratios FINAL JEOPARDY HERE DOUBLE IT

Chapter 6 Review Jeopardy Tomorrow Test is Friday.

Chapter 12 – Probability and Statistics 12.1 – The Counting Principle.

Probability Jeopardy Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy

Probability Review and Counting Fundamentals Ginger Holmes Rowell, Middle TN State University Tracy Goodson-Espy and M. Leigh Lunsford, University of AL,

Aim: How do we find the probability of a simple event? Complete Worksheet.

Lesson Simple Probability and Odds

PROBABILITY the extent to which an event is likely to occur.

Probability Review. I can… Solve Permutation and Combination problems 15 C 314 P 8 #8 455 #

Probability Part2 ( ) Chapter 5 Probability Part2 ( )

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.

Probability Jeopardy Final Jeopardy Simple Probabilities Permutations or Combinations Counting Principle Binomial Geometric Probability Potpourri Q $100.

Please complete the “S” portion of SELFIE today. Gwen made a scale drawing of the elementary school. The scale of the drawing was ___ millimeter = ___.

Counting Principles and Permutations. Sample Space: set of all possible outcomes in an experiment A coin is tossed twice. Represent the sample space in.

Counting Outcomes and Theoretical Probability PRE-ALGEBRA LESSON 12-4 (For help, go to Lesson 6-4.) A bag has 5 blue (B) chips, 4 red (R) chips, and 3.

Probability and Simulation GENERATING SAMPLE SPACE.

Section 11.4 Tree Diagrams, Tables, and Sample Spaces Math in Our World.

12.4 Counting Outcomes and Theoretical Probability.

Independent Events OBJ: Find the probability of independent events.

Let’s work on some definitions Experiment- is a situation involving chance that leads to results called outcomes. An outcome is the result of a single.

Lesson 9-7 Pages Independent and Dependent Events.

FORM : 4 DEDIKASI PRESENTED BY : GROUP 11 KOSM, GOLDCOURSE HOTEL, KLANG FORM : 4 DEDIKASI PRESENTED BY : GROUP 11 KOSM, GOLDCOURSE HOTEL, KLANG.

Section 6.2 Probability Models. Sample Space The sample space S of a random phenomenon is the set of all possible outcomes. For a flipped coin, the sample.

DAY 6: FUNDAMENTAL COUNTING PRINCIPLE Classwork: pptx examples in class Discrete Pre- Test (not a grade in HAC) Unit 2 Project- Due day 13 Homework (day.

Section 6.2: Probability Models Ways to show a sample space of outcomes of multiple actions/tasks: (example: flipping a coin and rolling a 6 sided die)

PROBABILITY! FOR: Mrs. Goodhue By: Mrs. Camuto. REMEMBER THE FOLLOWING: If the word AND is included, it means BOTH! You need to create a list and circle.

Probability of Compound Events. Review of Simple Probability The probability of a simple event is a ratio of the number of favorable outcomes for the.

Chapter 22 Probability. An experiment is an activity involving chance. Each repetition or observation of an experiment is a trial, and each possible result.

Probability Project Complete assignment on next slide on notebook paper. You need to use the interactive coin and dice on Moodle to complete assignment.

Chapter 12: Data Analysis & Probability 12.4 Counting Outcomes & Theoretical Probability.

IT 102: SOLVING CONDITIONAL PROBABILITY QUESTIONS Created by Jonathan Hsu.

Probability of Compound Events

Algebra 2 Mrs.Volynskaya

Introduction to Probability

Aim: What is the counting principle?

Counting Principles and Tree Diagrams

Conditional Probability

Pettit 9-2 Notes D7 : Compute probabilities using tree diagrams

Vocabulary, Set Notation, and Venn Diagrams

Homework Review.

Warm- Up #1 Monday, 2/1/2016 Reflect on your first semester in your math class and answer the following questions: Write three new things that you have.

Homework Review.

Binomial Probability Distribution

Experiment outcomes outcome trial outcomes experiment possible outcomes.

Finding Probability Using Tree Diagrams or Tables

The Counting Principle & Finding Sets

Probability of two events

Vocabulary, Set Notation, and Venn Diagrams

Make and use sample spaces and use the counting principle.

5-8 Probability and Chance

Tree diagrams and tables

Students should choose nine answers from the grid and place them

Conditional Probability

Two coins are flipped at the same time Two coins are flipped at the same time. Compare and contrast what is the same and what is different about.

Presentation transcript:

SP 2015 Tree Diagrams and Sample Space

Video 1 Video 2

Example: Travel Costs A group asks a travel agent to help them plan a trip from Atlanta to Chicago. The agent gives them three choices of transportation between the cities: airplane, train, bus. Once the group arrives in Chicago, they can take a hotel shuttle or a taxi to get to the hotel. How many possible choices for the entire trip has the travel agent given them? Airplane (A) Shuttle (S)Taxi (T)Bus (B)Shuttle (S)Taxi (T) Rail/Train (R) Shuttle (S)Taxi (T)

Tree Diagrams can be written Left to Right or Top to Bottom Airplane (A) Shuttle (S)Taxi (T)Bus (B)Shuttle (S)Taxi (T) Rail/Train (R) Shuttle (S)Taxi (T) Airplane (A) Shuttle (S) Taxi (T) Bus (B) Shuttle (S) Taxi (T) Rail/Train (R) Shuttle (S) Taxi (T)

Example: Travel 6 Choices How much would each choice cost? Airplane ($875) Shuttle ($40) =$915 Taxi ($60) =$935 Bus ($425) Shuttle ($40) =$465 Taxi ($60) =$485 Rail/Train ($650) Shuttle ($40) =$690 Taxi ($60) =$710 MethodCost for Group Air$875 Bus$425 Rail/Train$650 Shuttle$40 Taxi$60

The corner restaurant offers lunch combos for $6. The combo comes with a sandwich, side and drink. The choices are: Sandwich: Ham, Turkey Sides: Chips, Fruit, Salad Drinks: Soda, Tea, Water Create a tree diagram. How many possible combinations? HamChipsSodaTeaWaterFruitSodaTeaWaterSaladSodaTeaWaterTurkeyChipsSodaTeaWaterFruitSodaTeaWaterSaladSodaTeaWater

1 st Child2 nd Child3 rd ChildGirl Girl - GGG Boy - GGBBoyGirl - GBGBoy - GBBBoyGirlGirl - BGGBoy - BGBBoyGirl - BBGBoy - BBB Example Trees for probability A family will have 3 children. Answer the following: P(all girls) P(all boys) P(2 girls and 1 boy)

Example: Rolling a Pair of Dice How many possible outcomes: 6 * 6 = 36 How many Doubles 6 P(Double) = 6/36 = 1/6 111,121,231,341,451,561,6212,122,232,342,452,5 62,6 313,123,233,343,453,563,6414,124,234,344,454,564,6515,125,235,345,455,5 65,6 616,126,236,346,456,566,6