Mutually Exclusive Events. In some situations, more than one event could occur during a single trial. In some situations, more than one event could occur.

Slides:

Advertisements

Similar presentations

Natalia Sivackova. Events that cannot happen together (e.g. cant a card that is both red and black in a card deck) P(A B) = P(A) + P(B)

Advertisements

Probability COMPOUND EVENTS. If two sets or events have no elements in common, they are called disjoint or mutually exclusive. Examples of mutually exclusive.

Chapter 2 Probability. 2.1 Sample Spaces and Events.

Section 5.1 and 5.2 Probability

Probability Of An Event Dhon G. Dungca, M.Eng’g..

Section 4.3 The Addition Rules for Probability

The Addition Rule and Complements 5.2. ● Venn Diagrams provide a useful way to visualize probabilities  The entire rectangle represents the sample space.

Section 5.2 The Addition Rule and Complements

What are the chances of that happening?. What is probability? The mathematical expression of the chances that a particular event or outcome will happen.

Copyright (c) 2004 Brooks/Cole, a division of Thomson Learning, Inc. Chapter 2 Probability.

Sets, Combinatorics, Probability, and Number Theory Mathematical Structures for Computer Science Chapter 3 Copyright © 2006 W.H. Freeman & Co.MSCS SlidesProbability.

Sets, Combinatorics, Probability, and Number Theory Mathematical Structures for Computer Science Chapter 3 Copyright © 2006 W.H. Freeman & Co.MSCS SlidesProbability.

Gender Ratio CIA Fact Book. Sec 4.3  Addition Rules for Probability.

12.4 Probability of Compound Events

Section 3.3 The Addition Rule.

Compound Probability Pre-AP Geometry. Compound Events are made up of two or more simple events. I. Compound Events may be: A) Independent events - when.

Sample space The set of all possible outcomes of a chance experiment –Roll a dieS={1,2,3,4,5,6} –Pick a cardS={A-K for ♠, ♥, ♣ & ♦} We want to know the.

Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 12.2 Theoretical Probability

Section 3.3 The Addition Rule.

HOMEWORK QUESTIONS?. 5.2 TWO-WAY TABLES PROBABILITY MODELS A probability model describes chance behavior by listing the possible outcomes in the sample.

Probability of Compound Events

Copyright © 2009 Pearson Education, Inc. Chapter 12 Section 1 - Slide 1 Unit 7 Probability.

Chapter 7 Probability. 7.1 The Nature of Probability.

Mutually Exclusive Events OBJ: Find the probability that mutually exclusive and inclusive events occur.

Algebra II 10.4: Find Probabilities of Disjoint and Overlapping Events HW: HW: p.710 (8 – 38 even) Chapter 10 Test: Thursday.

Chapter 4 Probability. Definitions A probability experiment is a chance process that leads to well-defined results called outcomes. An outcome is the.

Eng. Khaled seif.

Probability Rules In the following sections, we will transition from looking at the probability of one event to the probability of multiple events (compound.

Probability What’s the chance of that happening? MM1D2 a, b, c.

Introduction to Probability (Dr. Monticino). Assignment Sheet  Read Chapters 13 and 14  Assignment #8 (Due Wednesday March 23 rd )  Chapter 13  Exercise.

Sullivan – Fundamentals of Statistics – 2 nd Edition – Chapter 5 Section 2 – Slide 1 of 21 Chapter 5 Section 2 The Addition Rule and Complements.

SECTION 11-2 Events Involving “Not” and “Or” Slide

Draw 3 cards without replacement from a standard 52 card deck. What is the probability that: 1.They are all red ? 2.At least one is black ? 3.They are.

Chapter 10 – Data Analysis and Probability 10.8 – Probability of Independent and Dependent Events.

Introduction Remember that probability is a number from 0 to 1 inclusive or a percent from 0% to 100% inclusive that indicates how likely an event is to.

Probability Part 4 – “Or” Events. Probability Warm-up In a survey, 16 percent of American children said they use flattery to get their parents to buy.

Chapter 10 – Data Analysis and Probability 10.7 – Probability of Compound Events.

AP Statistics Section 6.2 B Probability Rules. If A represents some event, then the probability of event A happening can be represented as _____.

I can find probabilities of compound events.. Compound Events  Involves two or more things happening at once.  Uses the words “and” & “or”

0-11 Probability Goal: Find the probability of an event occurring. Eligible Content: A

Probability How likely it is that something will happen.

Addition Rules for Probability Mutually Exclusive Events When do you add/ when do you subtract probabilities?

2-7 Probability of Compound Events. Independent Events – events that do not effect each other To calculate the probability of 2 independent events: Find.

11.3 and 11.4: Probability Rules. Key Vocabulary  Independent events: The outcome of one event does not affect the outcome of another  Dependent events:

L ESSON 13.2 Counting the Elements of Sets Throughout this lesson, you only need to copy things that are typed in orange!

Section 5.1 and 5.2 Probability

Adding Probabilities 12-5

Samples spaces are _______________

Bell Ringer The P(A), you showing up to school on time, is 0.8. The P(B), you completing your homework, is 0.7. Are events A and B independent if the.

10.7: Probability of Compound Events Test : Thursday, 1/16

The Addition Rule.

9.7 Probability of Compound Events

12.4 Probability of Compound Events

The Multiplication Rule (4.2.3)

PROBABILITY The probability of an event is a value that describes the chance or likelihood that the event will happen or that the event will end with.

Introduction Remember that probability is a number from 0 to 1 inclusive or a percent from 0% to 100% inclusive that indicates how likely an event is to.

Your Algebra 2 Test has 5 true/false and 15 multiple choice questions

I can find probabilities of compound events.

The Addition Rule & Understanding Independent Events (4.1.2/4.1.3)

Compound Probability.

Combination and Permutations Quiz!

Mutually Exclusive Events

Section 12.2 Theoretical Probability

Section 12.2 Theoretical Probability

Additional Rule of Probability

Probability and Counting

Adapted from Walch Education

PROBABILITY RANDOM EXPERIMENTS PROBABILITY OF OUTCOMES EVENTS

Section 12.2 Theoretical Probability

Sets, Combinatorics, Probability, and Number Theory

Presentation transcript:

Mutually Exclusive Events

In some situations, more than one event could occur during a single trial. In some situations, more than one event could occur during a single trial. Mutually Exclusive events are said to be Disjoint. The 2 outcomes could not happen simultaneously Mutually Exclusive events are said to be Disjoint. The 2 outcomes could not happen simultaneously Probability of Mutually Exclusive Events

Addition Rule for Mutually Exclusive Events When events A and B are mutually exclusive, the probability that A or B will occur is given by the addition rule for mutually exclusive events

Ex Teri attends a fundraiser where 15 T-shirts are being given away at the door. The winners are randomly given a shirt from a stock of 2 black, 4 blue, 9 white shirts. Teri really likes the black and blue shirts. Assuming that Teri wins first, What is the probability that she will get the shirt that she likes.

Let A represent the event Teri wins a black Shirt Let B represent the event Teri wins a blue shirt Teri would be happy if either A or B occurred

Non- Mutually Exclusive Events The Events CAN occur simultaneously Ex: on a board game you need to roll either an 8 or a double You can roll and eight and a double with 4 and 4. You need to take into consideration that you counted (4,4) twice

Addition rule for Non-Mutually Exclusive Events When events A and B are non- mutually exclusive events, the probability that A or B will occur is given by the addition rule for non- mutually exclusive events

Ex A card is randomly selected from a standard deck of 52 cards. What is the Probability that either a heart or a face card (jack, queen or king) is selected? Let A be the event that a heart is selected. Let B be the event that a face card is selected.

But the King, Queen and Jack of Hearts are in Both A and B!!!!!!

Ex An auto parts manufacturer is testing a product to see whether it requires a special coating to prevent rusting. -The quality control testing show that rust has a 0.2% probability of damaging the part. -It also has a 0.6% chance of damaging parts that are attached to it. -Lastly there is a 0.1% probability of damaging both the part and other parts it will be attached to. Determine the probability that rust will damage the products.

Homework! Pg 340 #1,2,3, 4a, 5,7,11,13 HAND IN 11 and 13 for Assessment