Lesson 9-2 Pages 374-377 Tree Diagrams Lesson Check 9-1.

Slides:

Advertisements

Similar presentations

Lesson 7 SP 7 Sample Space. EXAMPLE 1 Making a Tree Diagram Fruit Smoothies You are ordering a fruit smoothie. You can choose a small, medium or large.

Advertisements

Probability & Tree Diagrams. For example – a fair coin is spun twice H H H T T T HH HT TH TT 2 nd 1 st Possible Outcomes.

Lecture Discrete Probability. 5.3 Bayes’ Theorem We have seen that the following holds: We can write one conditional probability in terms of the.

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.

THE ICE CREAM SOCIAL. Choose one flavor of ice cream  Chocolate  Vanilla  Strawberry CHOOSE TW0 TOPPINGS:  CHOCOLATE SYRUP  WHIPPED CREAM  NUTS.

Over Lesson 13–7 1) What is the probability of getting a 7 while rolling two number cubes? 2) What is the probability of rolling an odd number when rolling.

Creating Tree Diagrams to find Theoretical Probability

Transparency 2 Click the mouse button or press the Space Bar to display the answers.

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.

Pre-Algebra Tree Diagrams.

Warm Up Use an inequality symbol to make each expression true a x 10 4 ___________ 5, 430 b. 32 ÷ ¼ ___________ 32 ÷4 c. 0.72___________¾.

Math 310 Section 7.2 Probability. Succession of Events So far, our discussion of events have been in terms of a single stage scenario. We might be looking.

Confidential2 Warm Up 1.Tossing a quarter and a nickel HT, HT, TH, TT; 4 2. Choosing a letter from D,E, and F, and a number from 1 and 2 D1, D2, E1, E2,

Probability Tree Diagrams

Confidential2 Warm Up 1.Tossing a quarter and a nickel 2. Choosing a letter from D,E, and F, and a number from 1 and 2 3.Choosing a tuna, ham, or egg.

08b Outcomes SMC Tanya had 3 choices for her sandwich: PBJ, ham or turkey. She can choose between 2 types of fruit: apple or banana. She also has the choice.

You can make an organized list to show all possible

Holt CA Course Sample Spaces SDAP3.1 Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams)

Lesson 9-1 Pages Simple Events Lesson Check Ch 8.

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

Lesson 12-6 Pages Counting Outcomes. What you will learn! 1. How to use tree diagrams or the Fundamental Counting Principle to count outcomes.

Solving Equations with Grouping Symbols

Quiz Bowl  All eight students will solve problems as part of a quiz bowl.  Students will work together to answer questions and compete head to head against.

Today’s Lesson: What: probability of compound events Why: To create and analyze tree diagrams; discover and use the fundamental counting principle; and.

Chapter 9 Review. 1. Give the probability of each outcome.

TREE DIAGRAMS. Tree Diagrams and Possible Outcomes Tree diagrams, as the name suggests, look like a tree as they branch out symmetrically. Tree diagrams.

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

12.4 Counting Outcomes and Theoretical Probability.

Chapter 16 Probability. Activity Rock-Paper-Scissors Shoot Tournament 1)Pair up and choose one person to be person A and the other person B. 2)Play 9.

11-3 Sample Spaces Warm Up 1. A dog catches 8 out of 14 flying disks thrown. What is the experimental probability that it will catch the next one? 2. If.

Lesson 9-7 Pages Independent and Dependent Events.

Do Now 1. Read through the lab on page 374 and answer question #1 individually. 2. With your partner from yesterday complete the lab on page 374. The labeled.

Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What.

14.2 Warm Up 1. Ms. Palomaa needs to pick a queen and king for her 1 st hour class. She has 10 girls and 12 boys in her class. How many different ways.

Notes Over A school team sells caps in two colors (blue or white), two sizes (child or adult), and two fabrics (cotton or polyester). Draw a.

Sample Spaces COURSE 2 LESSON 12-4

How Many is Too Many? A counting principle investigation.

Chapter 3 Section 3.7 Independence. Independent Events Two events A and B are called independent if the chance of one occurring does not change if the.

Chapter 7: Probability Lesson 1: Basic Principles of Probability Mrs. Parziale.

Making Predictions with Theoretical Probability. Warm Up You flip a coin three times. 1.Create a tree diagram to find the sample space. 2.How many outcomes.

Sample Space &Tree Diagrams. 0 Impossible ½ Equally Likely 1 Certain Sample space is the set of all possible outcomes. Ex: Flipping a coin = {H or T}

Bell Work Ashley’s large pack of candy contains seven raspberry-flavored pieces, five orange-flavored pieces and eight cherry-flavored pieces. If Ashley.

Independent and Dependent events. What is the difference between independent and dependent events?  You have three marbles in a bag. There are two blue.

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.

Warm Up There are 30 marbles in a bag. 10 are blue, 7 are red, 6 are yellow, and 7 are purple. 1)What is the probability of getting a red marble? 2)What.

Vocabulary review You will be shown a picture. Write the word on your board. Use the definitions to help. On the exam you will only be matching words and.

We want to see who has the luck! Tally up the number of times each player wins. Play from games. PlayersTallyGames Won Player 1 Player 2 Player 3.

1 Math Tree Diagrams. 2 What Are You Learning? I CAN use tree diagrams to find sample space.

HAWKES LEARNING Students Count. Success Matters. Copyright © 2015 by Hawkes Learning/Quant Systems, Inc. All rights reserved. Section 7.1 Introduction.

13.1 & Find Probabilities and Odds 13.2 Find Probabilities Using Permutations.

Bring a penny to class tomorrow

Probability of compound events

EXAMPLE 1 Find a sample space

CHAPTER 6 Control Problems in Experimental Research

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

EXPERIMENTAL PSYCHOLOGY

Unit 8. Day 6..

PROBABILITY RULES. PROBABILITY RULES CHANCE IS ALL AROUND YOU…. YOU AND YOUR FRIEND PLAY ROCK-PAPER-SCISSORS TO DETERMINE WHO GETS THE LAST SLICE.

Probability Trees By Anthony Stones.

Welcome Stand Quietly * Take out math folder

PROBABILITY WORKSHOP with blocks

Lecture 22 Section 7.1 – Wed, Oct 20, 2004

Welcome Stand Quietly * Take out math folder

Lesson – Teacher Notes Standard:

PROBABILITY Lesson 10.3A.

Investigation 2 Experimental and Theoretical Probability

What does it really mean?

Do Now Check Homework A B C D.

Presentation transcript:

Lesson 9-2 Pages Tree Diagrams Lesson Check 9-1

What you will learn! How to use tree diagrams to count outcomes and find probabilities.

Fair game Tree diagram Sample space

What you really need to know! A game in which players of equal skill have an equal chance of winning is a fair game. A tree diagram is used to show all of the possible outcomes, or sample space, in a probability experiment.

Link to Pre-Made Lesson

Example 1: Tom flips two coins. Draw a tree diagram to show the sample space of how the coins can land. Then determine the probability of flipping two tails.

First Coin H T H T T H HH HT TH TT Second Coin Sample Space

The probability of flipping two tails is:

Choices x Choices = Number of outcomes 2 x 2 = 4 possibilities Example 1: Method 2

Example 2: An ice cream sundae at the Ice Cream Shoppe is made from one flavor of ice cream and one topping. For ice cream flavors, you can choose from chocolate, vanilla, and strawberry.

Example 2: For toppings you can have hot fudge, butterscotch, or marshmallow. Find the number of different sundaes that are possible.

Ice Cream 9 possibilities ! C V S FB M F B M F B MSM CF CB CM VF VB VM SF SBTopping Sample Space

Choices x Choices = Number of outcomes 3 x 3 = 9 possibilities Example 2: Method 2

Example 3: If you are given a sundae at random from the shop in the previous problem, what is the probability that it has vanilla ice cream?

Ice Cream Topping Sample Space 9 possibilities ! C V S FB M F B M F B MSM CF CB CM VF VB VM SF SB

Example 3: If you are given a sundae at random from the shop in the previous problem, what is the probability that it has vanilla ice cream?

Page 376 Guided Practice #’s 3-6

Pages with someone at home and study examples! Read:

Homework: Page #’s 7-19 all #’s Lesson Check 9-2 THQ 9-1/9-2 Tree Diagrams

Page 585 Lesson 9-2

Lesson Check 9-2

Example 1: A family has two children. Draw a tree diagram to show the sample space of the children’s genders. Then determine the probability of the family having two girls.

First Child Second Child Sample Space B G B G BB BG GB GG B G

The probability of having two girls is:

THQ 9-1 to 9-2 Tree Diagrams

Y R B G R B G Y B G Y R G Y R B B G R G R B B G Y G Y B R G Y G Y R R B Y B Y R G B G R B R G B G Y B Y G R G Y R Y B R B Y R Y YRBG YRGB YBRG YBGR YGRB YGBR RYBG RYGB RBYG RBGY RGYB RGBY BYRG BYGR BRYG BRGY BGYR BGRY GYRB GYBR GRYB GRBY GBYR GBRY # 4

R BCAR1CAR2 CAR3 CAR4 CAR1 CAR2 CAR3 CAR4 R CAR1 R CAR2 R CAR3 R CAR4 B CAR1 B CAR2 B CAR3 B CAR4 # 5