Conditional Probability

Slides:

Advertisements

Similar presentations

4.5 Finding Probability Using Tree Diagrams and Outcome Tables.

Advertisements

Conditional Probability. Finding Conditional Probability Definition 1: A conditional probability contains a condition that may limit the sample space.

Essential Question: What makes conditional probability different from normal probability?

1. Tree Diagram 2. Medical Example 3. Quality Control Example 1.

9.7 Probability Mutually exclusive events. Definition of Probability Probability is the Outcomes divided by Sample Space. Outcomes the results of some.

Probability Concepts Introduction to Business Statistics, 5e Kvanli/Guynes/Pavur (c)2000 South-Western College Publishing.

Chapter 6 Section 1 Introduction. Probability of an Event The probability of an event is a number that expresses the long run likelihood that an event.

Conditional Probability.  The probability that event, B, will occur given that another event, A, has already happened.  Exists when two events depend.

Compound Events Defining Success In this lesson you will… find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

Chapter 6 Section 6 Tree Diagrams. Exercise 15 (page 314) Color blindness is a sex-linked inherited condition. Suppose: –5% of all men are color blind.

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

Probability of an Event and Independent Events. Probability of an Event A measure of the likelihood that an event will occur. Example: What is the probability.

Determining Probabilities Using Tree Diagrams and Tables.

Independent vs Dependent Compound Probability and Tree Diagrams.

Probability 6.20 Review. A man has two pair of pants. BlueBlack.

Section 3.2 Notes Conditional Probability. Conditional probability is the probability of an event occurring, given that another event has already occurred.

Vocabulary Two events in which either one or the other must take place, but they cannot both happen at the same time. The sum of their probabilities.

Topic 2 – Probability Basic probability - pages Conditional probability and independence - pages Bayes rule - pages 72 -

Conditional Probability: the likelihood that an event will occur GIVEN that another event has already occurred. A two way table & tree diagrams can represent.

CHAPTER 3 PROBABILITY 3.1 Basic Concepts of Probability.

Applied Algebra B Lesson: 4 – 2 Counting Outcomes Objective: Learn to use tree diagrams and the Fundamental Counting Principle to count outcomes.

Chapter 9 Section 7 Chapter 12 Section 2 Algebra 2 Notes February 12, 2009.

Source Page US:official&tbm=isch&tbnid=Mli6kxZ3HfiCRM:&imgrefurl=

11.4 CONDITIONAL PROBABILITY Learning Goal find conditional probabilities use table and tree diagrams to determine conditional probabilities.

Discrete Math Section 16.5 Solve problems involving conditional probability In a given population, 60% of the females live to age 75 or older(75+), while.

What is the probability you got an A given you studied? What is the probability you get into an accident given you have insurance?

Algebra 2.  Experimental v. Theoretical Probability.

Course 2 Probability Basics 7.9 and Theoretical Probability Theoretical Probability is the ratio of the number of ways an event can occur to the.

Announcements: Bluman, Chapter 4. Sec 4.2 Addition Rules for Probability Bluman, Chapter 4.

 Page 568: Insurance Rates  Probability theory  Chance or likelihood of an event happening  Probability  Each even is assigned a number between.

§12.4 Multiplying Probabilities Algebra II Honors.

基督再來（一）. 經文： 1 你們心裡不要憂愁；你們信神，也當信我。 2 在我父的家裡有許多住處；若是沒有，我就早已告訴你們了。我去原是為你們預備地去。 3 我若去為你們預備了地方，就必再來接你們到我那裡去，我在那裡，叫你們也在那裡， ] ( 約 14 ： 1-3)

Fri 5/6 Lesson 11 – 4 Learning Objective: To use two way tables & tree diagrams to find probability Hw: 11 – 4 WS.

Путешествуй со мной и узнаешь, где я сегодня побывал.

Probability GPS Algebra. Let’s work on some definitions Experiment- is a situation involving chance that leads to results called outcomes. An outcome.

Capture / Recapture Applying Ratios to Probability

Homework Log Fri 5/27 Lesson 11 – 10 Learning Objective:

Starter Find the probability that a person is ready for digital TV

Page 1. Page 2 Page 3 Page 4 Page 5 Page 6 Page 7.

Tips Need to Consider When Organizing a College Event

Dates of … Quiz 5.4 – 5.5 Chapter 5 homework quiz Chapter 5 test

Tree Diagrams A group of males and females were surveyed to find out whether they were left-handed or right-handed. In the group, 55% were male. Of.

ماجستير إدارة المعارض من بريطانيا

Слайд-дәріс Қарағанды мемлекеттік техникалық университеті

.. -"""--..J '. / /I/I =---=-- -, _ --, _ = :;:.

Conditional Probability

Probability and Odds 10.3.

Conditional Probability

II //II // \ Others Q.

I1I1 a 1·1,.,.,,I.,,I · I 1··n I J,-·

Conditional Probability

Lesson Day 2 – Teacher Notes

Dominant & Recessive Using Punnett Squares

How to find probabilities of 2 events using a tree diagram

If the question asks: “Find the probability if...”

Drill #83 Open books to page 645. Answer questions #1 – 4 .

12.2 – Conditional Probability

Example #1 2(a + 3) - 1(2a - 1) 2a a + 1 2a - 2a

Algebra II 5-7 Completing the Square.

The Addition Rule & More

Binomial Radical Expressions

Algebra II 7-4 Rational Exponents.

Matrix Multiplication

. '. '. I;.,, - - "!' - -·-·,Ii '.....,,......, -,

1. What animal 2. Male or Female ? 4. Male or Female? Why? Why?

Conditional Probability

Note 6: Conditional Probability

Note 6: Tree Diagrams Tree diagrams are useful for listing outcomes of experiments that have two or more successive events the first event is at the end.

Presentation transcript:

Conditional Probability Algebra II 12-2 Conditional Probability

Conditional Probability The probability of an event occurring with something that limits the population 𝑃 𝐵 𝐴 The Probability of B given the event A 𝑃 𝐵 𝐴 = 𝑃(𝐴 𝑎𝑛𝑑 𝐵) 𝑃(𝐴)

𝑃 𝑑𝑖𝑑 𝑐ℎ𝑜𝑟𝑒𝑠 𝑚𝑎𝑙𝑒 = 𝑃(𝑑𝑖𝑑 𝑐ℎ𝑜𝑟𝑒𝑠 𝑎𝑛𝑑 𝑚𝑎𝑙𝑒) 𝑃(𝑚𝑎𝑙𝑒) Yes No Male 7 8 Female 6 What is the probability of someone doing chores last night if they are male? 𝑃 𝑑𝑖𝑑 𝑐ℎ𝑜𝑟𝑒𝑠 𝑚𝑎𝑙𝑒 𝑃 𝑑𝑖𝑑 𝑐ℎ𝑜𝑟𝑒𝑠 𝑚𝑎𝑙𝑒 = 𝑃(𝑑𝑖𝑑 𝑐ℎ𝑜𝑟𝑒𝑠 𝑎𝑛𝑑 𝑚𝑎𝑙𝑒) 𝑃(𝑚𝑎𝑙𝑒) 7/28 15/28 = 7 15

Tree Diagram

In Portland when it snows only 2% of the time is it heavy. When the snow is heavy schools are closed 95% of the time. When snow is light they are closed 7% of the time. What is the probability that the snow is light and school is closed? 6.86%

iRAT 𝑃 ℎ𝑎𝑠 𝑑𝑖𝑝𝑙𝑜𝑚𝑎 𝑃 ℎ𝑎𝑠 𝑑𝑖𝑝𝑙𝑜𝑚𝑎 𝑎𝑛𝑑 𝑒𝑥𝑝𝑒𝑟𝑖𝑒𝑛𝑐𝑒 𝑃 ℎ𝑎𝑠 𝑒𝑥𝑝𝑒𝑟𝑖𝑒𝑛𝑐𝑒 ℎ𝑎𝑠 𝑑𝑖𝑝𝑙𝑜𝑚𝑎 𝑃 ℎ𝑎𝑠 𝑛𝑜 𝑑𝑖𝑝𝑙𝑜𝑚𝑎 ℎ𝑎𝑠 𝑒𝑥𝑝𝑒𝑟𝑖𝑒𝑛𝑐𝑒 Top Experience, side diploma Yes No 54 27 5 4

Problems Page 656 #5-12