SECTION 4.3 ADDITION RULE 1.

Slides:



Advertisements
Similar presentations
Homework Answers 9) 6/24 + 6/24 = 12/24 or ½ 11) 12/ /24 = 24/24 or 1 23) P(2 and A) = (1/6 * 1/5) = 1/30 P(2 and B) = (1/6 * 1/5) = 1/30 P(2 and.
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.
Probability Sample Space Diagrams.
Chapter 10.4B More with OR Probability.
Basic Rules of Probability
Section 5.2 The Addition Rule and Complements
EXAMPLE 1 Find probability of disjoint events
Probability. An experiment is any process that allows researchers to obtain observations and which leads to a single outcome which cannot be predicted.
WARM UP 1) What is the probability of randomly picking a RED CARD from a standard deck? 2) What is the probability of randomly picking a KING from a standard.
5.2 Combining Events Objectives: By the end of this section, I will be able to… 1) Understand how to combine events using complement, union, and intersection.
Section 2 Probability Rules – Compound Events Compound Event – an event that is expressed in terms of, or as a combination of, other events Events A.
AP STATISTICS Section 6.2 Probability Models. Objective: To be able to understand and apply the rules for probability. Random: refers to the type of order.
Special Topics. General Addition Rule Last time, we learned the Addition Rule for Mutually Exclusive events (Disjoint Events). This was: P(A or B) = P(A)
Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 12.6 OR and AND Problems.
Addition Rule Mr. Evans Statistics B. Venn Diagram It is often possible to illustrate the various sets or events of an experiment. For this we use Venn.
Dependent and Independent Events. Events are said to be independent if the occurrence of one event has no effect on the occurrence of another. For example,
Probability and Simulation Rules in Probability. Probability Rules 1. Any probability is a number between 0 and 1 0 ≤ P[A] ≤ 1 0 ≤ P[A] ≤ 1 2. The sum.
13.3 Conditional Probability and Intersections of Events Understand how to compute conditional probability. Calculate the probability of the intersection.
Probability Rules In the following sections, we will transition from looking at the probability of one event to the probability of multiple events (compound.
EXAMPLE 1 Find probability of disjoint events A card is randomly selected from a standard deck of 52 cards. What is the probability that it is a 10 or.
Probability Rules.  P and 44  P ,48,51  P ,57,60.
Conditional Probability and the Multiplication Rule NOTES Coach Bridges.
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.
4-3 Addition Rule This section presents the addition rule as a device for finding probabilities that can be expressed as P(A or B), the probability that.
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 _____.
Single Pick Probability AND vs. OR Sequential Probability With Replacement Conditional Disjoint vs. Non Disjoint Unit 4 – Probability – Part 1.
The Practice of Statistics, 5th Edition Starnes, Tabor, Yates, Moore Bedford Freeman Worth Publishers CHAPTER 5 Probability: What Are the Chances? 5.2.
Probability What is the probability of rolling “snake eyes” in one roll? What is the probability of rolling “yahtzee” in one roll?
The Practice of Statistics, 5th Edition Starnes, Tabor, Yates, Moore Bedford Freeman Worth Publishers CHAPTER 5 Probability: What Are the Chances? 5.2.
Section 3.2 Conditional Probability and the Multiplication Rule © 2012 Pearson Education, Inc. All rights reserved. 1 of 88.
Conditional Probability 423/what-is-your-favorite-data-analysis-cartoon 1.
Adding Probabilities 12-5
Good morning! August 14, Good morning! August 14, 2017.
Lesson 10.4 Probability of Disjoint and Overlapping Events
CHAPTER 5 Probability: What Are the Chances?
CHAPTER 5 Probability: What Are the Chances?
Probability Using Venn Diagrams
CHAPTER 5 Probability: What Are the Chances?
9.3 Two-Way Tables Venn Diagrams and Probability for Two Events
CHAPTER 5 Probability: What Are the Chances?
Bellwork Perform Synthetic Division and explain what is the solution of the synthetic division represent?
The Addition Rule.
Section 12.2 Probability.
Section 7.1 – Day 2.
CHAPTER 5 Probability: What Are the Chances?
Smart Start A bag contains 5 blue marbles, 6 purple marbles and 3 green marbles. One marble is selected at a time and once the marble is selected it is.
Probability.
CHAPTER 5 Probability: What Are the Chances?
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.
I can find probabilities of compound events.
Section 6.2 Probability Models
CHAPTER 5 Probability: What Are the Chances?
Compound Probability A compound event combines two or more events, using the word and or the word or.
Mutually Exclusive Events
Probability General Addition Rule Multiplication Rule
CHAPTER 5 Probability: What Are the Chances?
Find Probabilities of Disjoint and Overlapping Events
Section 3.3: The Addition Rule
Pencil, red pen, highlighter, GP notebook, textbook, calculator
CHAPTER 5 Probability: What Are the Chances?
Section 12.6 OR and AND Problems
Chapter 4 Lecture 2 Section: 4.3.
CHAPTER 5 Probability: What Are the Chances?
Chapter 5: Probability: What are the Chances?
CHAPTER 5 Probability: What Are the Chances?
Algebra 2/Trig – Unit 8 Review Name: ________________________
Counting Elements of Disjoint Sets: The Addition Rule
Mutually Exclusive Events
Unit 6: Probability: What are the Chances?
Presentation transcript:

SECTION 4.3 ADDITION RULE 1

ADDITION RULE Finding the probability of either event occurring.

VENN DIAGRAM A pictorial graph of events. U U

ADDITION RULE There are two situations Overlap Disjoint

OVERLAP There exists values that both events have in common. Looking at a graph, there exist an area that both events connect with. Because they overlap we are including those values/section twice, thus we must subtract one.

VENN DIAGRAM - OVERLAP

VENN DIAGRAM - OVERLAP

ADDITION RULE - OVERLAP P(A È B) = P(A) + P(B) - P(A ∩ B) A and B : two events ∩ : and È : or

OVERLAP EXAMPLE Given the table that summarizes the results of people who refused to answer the questions. 18 - 21 22 - 29 30 - 39 40 - 49 50 - 59 60 - over Responded 73 255 245 136 138 202 Refused 11 20 33 16 27 49

OVERLAP EXAMPLE What is the probability that the selected person responded or is in the 18 – 21 age bracket?

OVERLAP EXAMPLE What is the probability that the selected person refused to respond or is over 59 years of age?

DISJOINT The two events have nothing in common 12

VENN DIAGRAM - DISJOINT

VENN DIAGRAM - DISJOINT

ADDITION RULE FOR DISJOINT Recall the Addition Rule P(A È B) = P(A) + P(B) - P(A ∩ B) For a disjoint situation P(A ∩ B) = 0 Therefore we can simplify the Addition Rule P(A È B) = P(A) + P(B) 15

DISJOINT EXAMPLE Jennifer and Bill draw a card from the deck of 52. What is the probability that they get either an Ace or a King?

DISJOINT EXAMPLE A pair of dice is thrown. What would the probability be of rolling a 6 or an 11?

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.