11.3-11.4 Review Quiz Tomorrow.

Slides:



Advertisements
Similar presentations
Beginning Probability
Advertisements

Day 16 More on conditional probability, independence and total probability formula.
Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide
Probability Sample Space Diagrams.
Multiplication Rules for Probability Independent Events Two events are independent if the fact that A occurs does not affect the probability of B occuring.
Solve Me, I Dare You! Classical or Empirical? Name That Formula! Mutually Exclusive, or not? Vocabulary
1 Introduction to Stochastic Models GSLM Outline  course outline course outline  Chapter 1 of the textbook.
Section 3-3 The Addition Rule. Addition Rule – “or” The probability that A or B. One event Mutually Exclusive: P(A or B) = P(A) + P(B)
1 Business 90: Business Statistics Professor David Mease Sec 03, T R 7:30-8:45AM BBC 204 Lecture 13 = Finish Chapter “ Basic Probability” (BP) Agenda:
1 Business 260: Managerial Decision Analysis Professor David Mease Lecture 2 Agenda: 1) Assign Homework #1 (due Thursday 3/19) 2) Basic Probability (Stats.
Review HW Questions?.
GOAL: FIND PROBABILITY OF A COMPOUND EVENT. ELIGIBLE CONTENT: A PROBABILITY OF COMPOUND EVENTS.
Section 4.3 The Addition Rules for Probability
Chapter 6 Probabilit y Vocabulary Probability – the proportion of times the outcome would occur in a very long series of repetitions (likelihood of an.
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.
Chapter 1:Independent and Dependent Events
Probability Distributions
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 Probability is the measure of how likely an event is. An event is one or more outcomes of an experiment. An outcome is the result of a single.
Probability Quiz SOL 6.16 Zombro/Wright. 1. Decide if the following event is Independent or Dependent Ms. Wright asked her students to pull a marble from.
Chapter 9 Review. 1. Give the probability of each outcome.
Chapter 7 Probability. 7.1 The Nature of Probability.
Conditional Probability Objective: I can find the probability of a conditional event.
Warm Up Tyler has a bucket of 30 blocks. There are
7.4 Probability of Independent Events 4/17/ What is the number of unique 4-digit ATM PIN codes if the first number cannot be 0? The numbers to.
3.3 Finding Probability Using Sets. Set Theory Definitions Simple event –Has one outcome –E.g. rolling a die and getting a 4 or pulling one name out of.
How likely is it that…..?. The Law of Large Numbers says that the more times you repeat an experiment the closer the relative frequency of an event will.
Example Suppose we roll a die and flip a coin. How many possible outcomes are there? Give the sample space. A and B are defined as: A={Die is a 5 or 6}
Probability.
9-7Independent and Dependent Events 9-7 Independent and Dependent Events (pg ) Indicator: D7.
Introduction to Probability By Dr. Carol A. Marinas.
Independent Events The occurrence (or non- occurrence) of one event does not change the probability that the other event will occur.
Warm-up 1)You roll a number cube once. Then roll it again. What is the probability that you get 2 on the first roll and a number greater than 4 on the.
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.
Conditional Probability and the Multiplication Rule NOTES Coach Bridges.
Probability Experiments Problem Solving Sample Spaces Theoretical vs Experimental Compound Events Independent and Dependent Events.
Week 21 Rules of Probability for all Corollary: The probability of the union of any two events A and B is Proof: … If then, Proof:
I can find probabilities of compound events.. Compound Events  Involves two or more things happening at once.  Uses the words “and” & “or”
13-4 Probability of Compound Events. Probability of two independent events A and B. P(A and B)=P(A)*P(B) 1)Using a standard deck of playing cards, find.
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.
Warm Up What is the theoretical probability of rolling a die and landing on a composite number?
Conditional Probability If two events are not mutually exclusive, the fact that we know that B has happened will have an effect on the probability of A.
Mutually Exclusive & Independence PSME 95 – Final Project.
Probability of Independent and Dependent Events 11-5.
Discrete Math Section 16.1 Find the sample space and probability of multiple events The probability of an event is determined empirically if it is based.
Section 9-7 Probability of Multiple Events. Multiple Events When the occurrence of one event affects the probability of a second event the two events.
Adding Probabilities 12-5
PROBABILITY Probability Concepts
Independent and Dependent Events
Multiplication Rule and Conditional Probability
BASIC PROBABILITY Probability – the chance of something (an event) happening # of successful outcomes # of possible outcomes All probability answers must.
13.4 – Compound Probability
Mutually Exclusive VS. Overlapping
True False True False True False Starter – True or False
Warm Up – 5/16 - Friday Decide if the following probabilities are Exclusive or Inclusive. Then find the probability. For 1 and 2 use a standard deck of.
Mutually exclusive nothing in common.
Introduction to Probability & Statistics Expectations
Compound Probability.
Probability Simple and Compound.
Section 12.6 OR and AND Problems
Fun… Tree Diagrams… Probability.
Mutually Exclusive Events
Note 9: Laws of Probability
Probability Mutually exclusive and exhaustive events
Warm-Up #10 Wednesday 2/24 Find the probability of randomly picking a 3 from a deck of cards, followed by face card, with replacement. Dependent or independent?
Notes 13-4: Probabilities of Compound Events
Types of Events Groups of 3 Pick a Card
Bellwork: 5/13/16 Find the theoretical probability of each outcome
Probability.
Presentation transcript:

11.3-11.4 Review Quiz Tomorrow

Formulas AND OR Independent: P(A and B) = P(A) x P(B) Exclusive: P(A or B) = P(A) + P(B) Dependent: P(A and B) = P(A) x P(B given A) Inclusive: P(A or B) = P(A) +P(B) – P(A and B)

Indpendent/dependent and what’s the probability Flipping a heads, flipping a tails, and then flipping a tails A magic hat has 4 rabbits, 2 scarves, and 6 ping pong balls. What is the probability a magician pulls out a rabbit and then a ping pong ball (without replacement)

Mutually exclusive / inclusive What is the probability I roll a 4 or a 5? What is the probability I roll a number greater than 3 or I roll a 5?

Word Problem Of 1000 students interviewed, 300 had exercised over the weekend. 400 of the students who were interviewed played video games over the weekend. 100 of the people who exercised also played video games. What is the probability that someone from this interview played video games or exercised over the weekend.

Word Problem 4 friends head to the vending machine for a snack after school. The vending machine has 14 options for snacks. What is the probability that at least two friends had the same snack?

What is the probability that a first serve went in given that he lost? What is the probability that roger got the first serve in and won?