Answer: (-4, 0) and (0, -2). Bell Work: Find the x and y intercepts of the following equation, then graph. x + 2y = -4.

Slides:

Advertisements

Similar presentations

A.P. STATISTICS LESSON 6 – 2 (DAY2) PROBABILITY RULES.

Advertisements

Conditional Probability Life is full of random events! You need to get a "feel" for them to be a smart and successful person.

Insert Lesson Title Here 1) Joann flips a coin and gets a head. Then she rolls a 6 on a number cube. 2) You pull a black marble out of a bag. You don’t.

Section 5.1 Constructing Models of Random Behavior.

Section 1.4 The conditional probability of an event A given that event B has occurred (or will occur) is defined by P(A  B) P(A | B) = ————provided that.

Compound Events Compound event - an event that is a combination of two or more stages P(A and B) - P(A) X P(B)

Probabilities of Dependent Events. Determining probabilities of dependent events is usually more complicated than determining them for independent events.

Math 310 Section 7.2 Probability. Succession of Events So far, our discussion of events have been in terms of a single stage scenario. We might be looking.

Probability : Combined events 2

Bell Work: Lillian saves $12 buying a rug on sale for $ The sale price of the rug was what percent of the regular price?

Theoretical Probability of Simple Events

Math 409/409G History of Mathematics

Review of Probability.

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.

Classify each pair of events as dependent or independent.

A.P. STATISTICS LESSON 6.3 ( DAY 2 ) GENERAL PROBABILITY RULES ( EXTENDED MULTIPLICATION RULES )

Chapter 12 – Probability and Statistics 12.4 – Multiplying Probabilities.

9.7 Probability of Multiple Events. Dependent events – when the outcome of one event affects the outcome of a second event Dependent events – when the.

AP STATISTICS LESSON 6.3 (DAY 1) GENERAL PROBABILITY RULES.

UNIT 5: PROBABILITY Basic Probability. Sample Space Set of all possible outcomes for a chance experiment. Example: Rolling a Die.

Recap from last lesson Compliment Addition rule for probabilities

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

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

DEFINITION  INDEPENDENT EVENTS:  Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring.

1.6 Independence of the events. Example: Drawings with Replacement Two balls are successively drawn from an urn that contains seven red balls and three.

13.3 Conditional Probability and Intersections of Events Understand how to compute conditional probability. Calculate the probability of the intersection.

PROBABILITY (Theoretical) Predicting Outcomes. What is probability? Probability refers to the chance that an event will happen. Probability is presented.

Probability of Multiple Events.  A marble is picked at random from a bag. Without putting the marble back, a second one has chosen. How does this affect.

Chapter 6 Day 2. Multiplication Principle – if you do one task a number of ways and a second task b number of ways, then both tasks can be done a x b.

AGENDA WARM-UP HOMEWORK QUESTIONS?? LESSON 12 CORRECTIONS LESSON 14 EXIT CARD.

Probability of Simple Events

9.2 Connecting Probability to Models and Counting Remember to Silence Your Cell Phone and Put It In Your Bag!

11.7 Continued Probability. Independent Events ► Two events are independent if the occurrence of one has no effect on the occurrence of the other ► Probability.

Discrete Math Section 16.2 Find the probability of events occurring together. Determine whether two events are independent. A sack contains 2 yellow and.

12-7 Probability of Compound Events (AND problems) Goal: Find the probability of a compound event. Eligible Content: A

What is the probability of two or more independent events occurring?

Independent and Dependent Events. Independent Events Two events are independent if the outcome of one event does not affect the outcome of a second event.

Multiplication Rule Statistics B Mr. Evans. Addition vs. Multiplication Rule The addition rule helped us solve problems when we performed one task and.

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

Lesson 4-6 Probability of Compound Events Objectives: To find the probability of independent and dependent events.

Independent and Dependent Events Lesson 6.6. Getting Started… You roll one die and then flip one coin. What is the probability of : P(3, tails) = 2. P(less.

PROBABILITY UNLIKELY – LESS ½ LIKELY – MORE ½ CERTAIN - ALL IMPOSSIBLE- CAN’T HAPPEN, 0 EQUAL CHANCE- SAME NUMBER.

Independent and Dependent events. What is the difference between independent and dependent events?  You have three marbles in a bag. There are two blue.

Probability of Dependent Events Section 10.3 What key words tell us it is a dependent event?

11.3 Probability of Multiple Events Learning goal find the probability of the event A and B find the probability of the event A or B.

Probability of Independent and Dependent Events 11-5.

Please copy your homework into your assignment book

Section 5.4 Day 2.

Aim: What is the multiplication rule?

Lesson 13.4 Find Probabilities of Compound Events

6.4 Find Probabilities of Compound Events

Chapter 3.1 Probability Students will learn several ways to model situations involving probability, such as tree diagrams and area models. They will.

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

Pearson Unit 6 Topic 15: Probability 15-1: Experimental and Theoretical Probability Pearson Texas Geometry ©2016 Holt Geometry Texas ©2007.

Probability Models Section 6.2.

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

Main Idea and New Vocabulary

Lesson 10-7 Independent and Dependent Events

Please copy your homework into your assignment book

1.7 Addition Rule - Tree Diagrams (1/3)

To find the probability of independent events dependent events

Probability Lesson 4: Non-Equally Likely Events

Warm Up Graph Simplify.

video Warm-Up Lesson 14 Exit card

Please copy your homework into your assignment book

Probability of Independent Event

Compound Events – Independent and Dependent

Lesson 56 – Probability of Dependent Events – Conditional Probabilty

Presentation transcript:

Bell Work: Find the x and y intercepts of the following equation, then graph. x + 2y = -4

Answer: (-4, 0) and (0, -2)

Lesson 83: Probability of Dependent Events

We know that when events are independent, the probability that both will occur is the product of their probabilities. P(A and B) = P(A)P(B)

In this lesson, we will compute probabilities of events that are not independent. Events that are not independent are sometimes called dependent events because the probability of one event depends on the other event.

Example: Two eighth graders and one seventh grader want to go on the trip, but only two students will be selected. If their names are drawn at random, what is the probability that the two eighth graders will get to go? (make a tree)

Answer: Make a tree. 1/3 chance

Rather than counting outcomes in the first example, we can consider probabilities at each stage of the experiment. In the first stage (the selection of the first student), 2/3 of the students are eight graders.

After an eighth grader is selected, there is a 50% chance (or probability of ½) that the second eight grader will be selected. The probability that two eighth graders are selected is ⅔½ which is ⅓.

This illustrates a multiplication rule for events A and B that are not independent. P(A) under initial conditions  P(B) under new conditions

The previous problem is an example of Conditional Probability The previous problem is an example of Conditional Probability. The selection of the first eighth grader and the second are not independent events. When one name is selected, the probability of selecting the next name changes.

This differs from independent events in which one event does not change the probability of future events.

For example, consider an experiment in which a marble is selected from a bag containing 2 white and 3 blue marbles, its color is recorder, and it is replaced. Then another marble is drawn, recorded, and replaced. The events, “blue” (for the first marble) and “blue” (for the second marble), are independent because every time a marble is selected the probability of selecting a blue marble remains 3/5.

However, if a blue marble is drawn and not replace, the conditions have changed and the probability of selecting another blue marble changes to ½.

Example: A bag contains two white marbles and three blue marbles. If two marbles are selected, what is the probability of selecting two blue marbles if the marbles are selected With replacement Without replacement

Answer: 3/5  3/5 = 9/25 3/5  2/4 = 6/20 = 3/10

HW: Lesson 83 #1-25