Probability Problems chapter 15 part 2 General addition rule Testing for independence Tree diagram.

Slides:



Advertisements
Similar presentations
Square Root Chapter 9.
Advertisements

Multiplication Rule We now discuss the situation when both events A and B occur.
MUTUALLY EXCLUSIVE AND INDEPENDENT EVENTS
Welcome to Who Wants to be a Millionaire
5.1 Probability of Simple Events
Probability Rules Chapter 15.
C HAPTER 15 Probability Rules! "We figured the odds as best we could, and then we rolled the dice." U.S. President Jimmy Carter, June 10,1976.
More Fun With Probability Probability inherently is an abstract idea! In order to make Probability as concrete as possible, make a diagram or picture where.
CHAPTER 40 Probability.
Warm Up Express the indicated degree of likelihood as a probability value: “There is a 40% chance of rain tomorrow.” A bag contains 6 red marbles, 3 blue.
Copyright © 2010, 2007, 2004 Pearson Education, Inc. Chapter 15 Probability Rules!
Copyright © 2010 Pearson Education, Inc. Chapter 15 Probability Rules!
Copyright © 2010, 2007, 2004 Pearson Education, Inc. Chapter 15 Probability Rules!
Set theory and Bayes’ Rule Sets and set operations Axioms of probability Probabilities of sets Bayes’ rule Chapter 2 of Haldar and Mahadevan’s Probability,
Chapter 15 Probability Rules!
Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 3 Probability.
Conditional Probability and Independence
CHAPTER 6 DAY 4. Warm – Up  The table below shows the distribution of races in a particular city in the United States.  Let A = person is Hispanic and.
Skill 21: Representing Data. Why do we have to know how to represent the data differently? A baseball diamond is a square with sides of 90 feet. What.
Chapter 2 Chapter The sample space of an experiment, denoted S , is the set of all possible outcomes of that experiment. An event is any collection.
Bell Ringer Find the sample space for the gender of the children if a family has three children. Use B for boy and G for girl. Include order. For example,
Probability Part 2 Disjoint and Independent Events
Filling in a Venn diagram
Chapter 15: Probability Rules!
Probability : Combined events 1
In this chapter we look at some general rules about probability and some special diagrams that will aid us in using these rules correctly.
Section 4-3 The Addition Rule. COMPOUND EVENT A compound event is any event combining two or more simple events. NOTATION P(A or B) = P(in a single trial,
UNIT 8: PROBABILITY 7 TH GRADE MATH MS. CARQUEVILLE.
Chapters 14/15 AP Statistics Mrs. Wolfe
Chapters 14 & 15 Probability math2200. Random phenomenon In a random phenomenon we know what could happen, but we don’t know which particular outcome.
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.
Chapter 3:Basic Probability Concepts Probability: is a measure (or number) used to measure the chance of the occurrence of some event. This number is between.
Probability(C14-C17 BVD) C15: Probability Rules. * OR – In probability language, OR means that either event happening or both events happening in a single.
Copyright © 2010 Pearson Education, Inc. Chapter 15 Probability Rules!
Warm-up 5.5 Independent Events Jack and Jill have finished conducting taste tests with 100 adults from their neighborhood.
Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 2 Probability.
Probability The Study of Chance! Part 3. In this powerpoint we will continue our study of probability by looking at: In this powerpoint we will continue.
Determine a method to simulate each of the following events:  If 15% of all AP statistics students get a “5” on the AP exam, how many would we need to.
AP Statistics Wednesday, 20 November 2015 OBJECTIVE TSW review for the test covering probability.
Addition Rule Example-Not mutually exclusive events
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide
2003/02/19 Chapter 2 1頁1頁 Chapter 2 : Basic Probability Theory Set Theory Axioms of Probability Conditional Probability Sequential Random Experiments Outlines.
Chapter 3:Basic Probability Concepts Probability: is a measure (or number) used to measure the chance of the occurrence of some event. This number is between.
Chapters 14 & 15 Probability math2200. Randomness v.s. chaos Neither of their outcomes can be anticipated with certainty Randomness –In the long run,
Slide Slide 1 Survey 1)Locate the following countries on your map: Venezuela, Hungary, Syria, Vietnam, North Korea, Egypt, Pakistan, Guatemala, Germany,
1.Review Ch 14 2.Ch 14 Partner Quiz 3.Notes on Ch 15 part 1 We will review conditional probability, then we will learn how to test for independence, and.
CHAPTER 15 PROBABILITY RULES!. THE GENERAL ADDITION RULE Does NOT require disjoint events! P(A U B) = P(A) + P(B) – P(A ∩ B) Add the probabilities of.
Bell Ringer Employment data at a large company reveal that 72% of the workers are married, 44% are college graduates, and half of the college grads are.
1 C.M. Pascual S TATISTICS Chapter 5b Probability Addition Rule.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 15 Probability Rules!
Chapter 15: Probability Rules! Ryan Vu and Erick Li Period 2.
Copyright © 2010 Pearson Education, Inc. Chapter 15 Probability Rules!
Announcements: Bluman, Chapter 4. Sec 4.2 Addition Rules for Probability Bluman, Chapter 4.
Algebra 2 Chapter 12 Venn Diagrams, Permutations, and Combinations Lesson 12.2.
Stats 4 Day 6 conditional. Do Now Check your HW Questions??
Chapter 14 Probability Rules!. Do Now: According to the 2010 US Census, 6.7% of the population is aged 10 to 14 years, and 7.1% of the population is aged.
Chapter 15 Probability Rules!.
Chapter 15 Probability Rules!
Introduction to Probability
Probability Using Venn Diagrams
CHAPTER 5 Probability: What Are the Chances?
Filling in a Venn diagram
Chapter 15: Probability Rules!
Probability Models Section 6.2.
The “Complicated” Probabilty Disjoint and Independent Events
Chapter 4 Probability 4.2 Basic Concepts of Probability
Chapter 9 Probability.
Chapter 15 Probability Rules! Copyright © 2010 Pearson Education, Inc.
9J Conditional Probability, 9K Independent Events
Presentation transcript:

Probability Problems chapter 15 part 2 General addition rule Testing for independence Tree diagram

Police report that 78% of drivers stopped on suspicion of drunk driving are given a breath test, 36% a blood test, and 22% both. What is the probability that a randomly selected DWI suspect is given: (use a venn diagram for general addition rule) 1- a test? 2- a blood or breath test but not both? 3- neither? (use a table) 4- Are giving a blood and breath test mutually exclusive? 5- Are giving the two tests independent?

Blood TestBreath Test Both tests No Test 22%56%14% 8%

Blood Test Breath Test Both tests No Test 22%56%14% What is the probability that a randomly selected DWI suspect is given: 1- a test? 2- a blood or breath test but not both? 3- neither? 8%

Blood Test Breath Test Both tests No Test 22%56%14% 8% YESNOTOTALS YES NO TOTALS BREATH TEST BLOOD TEST

YESNOTOTALS YES NO TOTALS BREATH TEST BLOOD TEST What is the probability that a randomly selected DWI suspect is given: 4- Are giving a blood and breath test mutually exclusive (DISJOINT)? 5- Are giving the two tests independent?

A TB test is 99% accurate. If the incidence of having TB in the US is 5 in 100,000 or and the probability of having a false negative test is What is the probability of actually having TB if you test positive for it?

-P (+ | TB) = P(TB in the US) = P( - | TB) = What is the probability of actually having TB if you test positive for it?

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

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