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**Probability** & **Tree** **Diagrams** OCR Stage 8 What are **Tree** **Diagrams** A way of showing the possibilities of two or more events Simple diagram we use to calculate the probabilities of two or more events For example – a fair coin is spun twice H H H T T T HH HT TH TT 2nd 1st Possible Outcomes Attach ...

**Probability** **Tree** **Diagrams** **Tree** **Diagrams** Shows all possible outcomes Total amount of choices from a group of items How many of a particular item out of all the possible choices PROBLEM: How many options are there of picking a number from 1 to 5 and choosing the color red, white, or blue First ...

**Tree** **Diagrams** Grade B * LO: Draw and use a **tree** diagram to find conditional probabilities. ... the calculator these into convert these into decimals Enter your results into the class spreadsheet Result Tally Total **Probability** A Wins B Wins Draw Is it a fair game?

Title: **Probability** (**Tree** **Diagrams**) Last modified by: MIKE CROWLEY Created Date: 10/16/2004 9:42:30 AM Document presentation format: On-screen Show

**Probability** **Tree** **diagrams** Example A bag contains 10 discs: 7 are black and 3 white. A disc is selected, and then replaced. A second disc is selected.

**Probability** (**Tree** **Diagrams**) **Tree** **diagrams** can be used to help solve problems involving both dependent and independent events. The following situation can be represented by a **tree** diagram.

**Probability** **Tree** **diagrams** Example A coin is tossed twice. Complete the **probability** **tree** diagram showing all the possible outcomes and the **probability** of each.

**TREE** **DIAGRAMS** Part 1 : Drawing A **tree** diagram is a way of describing all the possible outcomes from a series of events A **tree** diagram is a way of calculating the **probability** of all the possible outcomes from a series of events A list of possible events could include Taking a sweet from a jar of ...

Title: Finding **Probability** Using **Tree** **Diagrams** and Outcome Tables Author: bcss Last modified by: bcss Created Date: 4/26/2009 11:13:56 PM Document presentation format

12.2 – Conditional **Probability** Conditional **Probability** Conditional **Probability** contains a condition that may limit the sample space for an event.

**Tree** **diagrams** What are **Tree** **Diagrams** A way of showing the possibilities of two or more events Simple diagram we use to calculate the probabilities of two or more events A fair coin is spun twice **Tree** **Diagrams** Could make a list **Tree** **diagrams** What are **Tree** **Diagrams** A way of showing the ...

In a **tree** diagram, the **probability** for each simple event along a path ... 1_Concourse 2_Concourse 3_Concourse 4_Concourse 5_Concourse 6_Concourse 7_Concourse Counting Outcomes and **Tree** **Diagrams** PowerPoint Presentation Example A PowerPoint Presentation PowerPoint Presentation The ...

The notation is: **Probability** **tree** **diagrams** A visual display of the probabilities using a **probability** **tree** diagram. Especially useful for determining probabilities involving events that are not independent.

**Probability** & **Tree** **Diagrams** **Probability** & **Tree** **Diagrams** For example – a fair coin is spun twice H H H T T T HH HT TH TT 2nd 1st Possible Outcomes Attach probabilities H H H T T T HH HT TH TT 2nd 1st ½ ½ ½ ½ ½ ½ P(H,H)=½x½=¼ P(H,T)=½x½=¼ P(T,H)=½x½=¼ P(T,T)=½x½=¼ INDEPENDENT ...

**Probability** theoretical **probability** p = number of successful outcomes ... **Probability** **Tree** **Diagrams** A **tree** diagram for whether it is raining or not rain not rain The outcome is written at the end of the branch * * Title: PowerPoint Presentation

**Probability** **Tree** **Diagrams** **Tree** **Diagrams** Can be used to show the outcomes of two or more events. Each Branch represents the possible outcome of one event.

Using **Probability** …. **Tree** **Diagrams** **Tree** **Diagrams** Enter the Probabilities What is the **Probability** of at least one Head? 10 beads in a bag – 3 Red, 2 Blue, 5 Green. One is taken and its colour noted, returned to bag, then a second taken.

**Probability** **Tree** **Diagrams** iRespond Graph 67% 33% 100% 100% 67% A* B* C D E 0 1 2 3 iRespond Graph 67% 33% 100% 100% 67% A* B* C D E 0 1 2 3 iRespond Graph 67% 33% 100% 100% 67% A* B* C D E 0 1 2 3 **Tree** **Diagrams** Shows all possible outcomes Total amount of choices from a group of items How many of ...

We can Apply the definition Construct Venn **Diagrams** Construct Frequency (Contingency) Tables Construct **Tree** **Diagrams** Example Two The **probability** that event A occurs is .63. The **probability** that event B occurs is .45.

**Probability** Introduction **Probability** Theory was first used to ... you will learn to solve simple **probability** problems in Part One use possibility **diagrams** and **tree** **diagrams** to solve **probability** problems involving combined events in Part Two Introduction Part One Experiments **Probability** is ...

**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 event to the total number of possible outcomes of the event.

**Tree** **Diagrams** Be able to use a **tree** diagram to list the possible outcomes from two events. Be able to calculate probabilities from **tree** **diagrams**.

A A A A A D6 **Probability** D6.4 **Tree** **diagrams** D6.2 Probabilities of single events D6.1 The language of **probability** D6.3 Probabilities of combined events Throws 10 10 10 10 10 10 6 5 4 3 2 1 If you flipped a coin fifty times, how many heads would you expect to get?

Creating **Tree** **Diagrams** to find Theoretical **Probability** We are learning to…find the theoretical **probability** of an event. * Vocabulary Theoretical **Probability** - **Probability** that is based on likelihood of an event happening based on all the possible outcomes.

**Tree** **Diagrams** with **Probability** We can also label each branch of the **tree** with its respective **probability**. To obtain the **probability** of the events, we can multiply the probabilities as we work down a particular branch. There are four possible outcomes: Red, ...

Let Me Count the Ways “Mazes” and **Tree** **Diagrams** Big Ideas of **PROBABILITY** Math 1614 Unit 6 **Probability** is on a continuum The **probability** that a future event will occur can be characterized along a continuum from impossible to certain. In B.

**Probability** Sample space/event Independence Bayes rule This lady has lost 10 games in a row on ... when conditional probabilities for events based on previous events are known **Tree** **diagrams** Strategies for Finding Complicated Probabilities >2 independent events: P(A1 and A2 … and Ak ...

Conditional **Probability** P(A) represents the **probability** assigned to A, it is the original or unconditional **probability** ... Use the formula Venn **Diagrams** Frequency Tables **Tree** **Diagrams** Example-using definition The **probability** that event A occurs is .63.

**Probability** **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 getting a 7 when you roll a die = 0 If an event is sure to happen, the **probability** is 1 eg: the **probability** of getting either a ...

Statistics and **Probability** Review Games By: Mr. Dunkleberger Mechanicsville Elementary School **Probability** Game #1 Game #2 Game #3 Mean, Median, Mode Game #1 Game #2 Game #3 Collecting Data Game #1 Game #2 **Tree** **Diagrams** Game #1 Line Plots Game #1 Creating Graphs Game #1 Statistics and **Probability** ...

4 x 5 = 20 Counting Outcomes **Tree** **Diagrams** and The Fundamental Counting Principle are two different algorithms for finding sample space of a **probability** problem. However, **tree** **diagrams** work better for some problems and the fundamental counting principle works better for other problems. Counting ...

Finding Theoretical **Probability** Using an Area Model We are learning to…find the theoretical **probability** of an event. * Reflection In complete sentences.

This **tree** diagram represents the possibilities of ... so they’re mutually exclusive. Suppose that each student has a 0.5 **probability** of success. Then the **probability** of any single path in the **tree** is (0.5)(0 ... Just as **tree** **diagrams** allow breaking down sequences of dependent events ...

Applicable Mathematics “**Probability**” www.mathxtc.com Expected Value Example At a raffle, 1500 tickets are sold at $2 each for four prizes of $500, $250, $150, and $75.

Conditional **Probability** P(A) represents the **probability** assigned to A ... Use the formula Venn **Diagrams** Frequency Tables **Tree** **Diagrams** Example-Using definition The **probability** that event A occurs is .63.

Arial Calibri Office Theme 1_Office Theme Chapter 4 Sample Spaces and **Probability** Charts and **Tree** **Diagrams** Example (sample spaces chart) **Tree** Diagram Classical **Probability** Example 1 (classical **probability**) Example 2 (classical ...

Conditional **Probability** Information Conditional **probability** Conditional **probability** is the **probability** that one event, A, will occur, given another event, B, occurs.

... 5e 15.4 **Probability** **tree** **diagrams** **Probability** **tree** **diagrams** can be a useful visual display of probabilities The **diagrams** are especially useful for determining probabilities involving events that are not independent The joint probabilities for combinations of these events are found by ...

**Probability** Chapter 11 11.1 **Probability** and Simple Experiments A definition … **Probability** is the mathematics of chance. Terminology Definition: Suppose that all of the outcomes in the nonempty sample space are equally likely to occur.

**Probability** The MEnTe Program Math Enrichment through Technology Title V East Los Angeles College Click one of the buttons below or press the enter key

COUNTING OUTCOMES & THEORETICAL **PROBABILITY** 12-4 **TREE** **DIAGRAMS** You can use **tree** **diagrams** to display and count possible choices. This option of counting possible choices is used when the possibilities are limited.

**Tree** **Diagrams** and More Practice Presentation 4.7 Overview and Examples Drug Testing and Cycling Consider the Tour de France. All cyclists have to go through mandatory drug testing.

**Probability** Models AP Statistics ... * **Tree** **Diagrams** A **tree** diagram helps us think through conditional probabilities by showing sequences of events as paths that look like branches of a **tree**.

**Probability** of a compound event **Tree** **diagrams** Area models Frequencies Compound events Simulation Content Vocabulary: Compound event Event Likely event Sample space Simulation Unlikely event. Title: Mathematics Author.. Last modified by: Marjorie Francolini

**Probability** without replacement activity ... Pupils can then work out the missing probabilities in the **tree** diagram and the four combined probabilities, perhaps on mini whiteboards as a competition or race. Title: **Probability** without replacement activity

**Probability** Sample Space **Diagrams** Sample Space A Sample Space is a LIST of all possible outcomes. A Sample Space Diagram is a TABLE which shows all the possible outcomes of a scenario. e.g. Sample space diagram for rolling a die and tossing a coin Independent Events Events are independent if the ...

A A A A A D6 **Probability** D6.4 **Tree** **diagrams** D6.2 Probabilities of single events D6.1 The language of **probability** D6.3 Probabilities of combined events Throws 10 10 10 10 10 10 6 5 4 3 2 1 If you flipped a coin fifty times, how many heads would you expect to get?

He estimates that the **probability** that the electrical design could be successfully modified is only 30%, ... 2 Turning influence **diagrams** into decision trees Example on influence **diagrams** **Tree** derived from influence diagram ...

E F 1 3 5 2 4 6 S 2 4 6 1 3 **Tree** **Diagrams** **Tree** Diagram makes the enumeration of possible outcomes ... Construction Objectives Cont Vocabulary Vocabulary Cont Idea of **Probability** Randomness and **Probability** Example 1 **Probability** Models Example 2 **Tree** **Diagrams** Example 3 Example 3 cont ...

**Probability** What is the ... Vocabulary Words (Contd.) **Probability** (relation of math, art and science) **Tree** **Diagrams** Punnett Squares Events Dependent Events Independent Events Mutually Exclusive Events Complementary or Prime Events Conditions of **Probability** “With replacement” condition ...