Section 6.2.3 Probability Models AP Statistics toddfadoir.com/apstats.

Slides:



Advertisements
Similar presentations
AP Statistics Section 6.2C Independent Events & The Multiplication Rule.
Advertisements

Probability Interpretations Theoretical. Where P comes from mathematical model or logical reasoning. (pp ) –Example: P(‘heads’) = exactly 1/2 Empirical.
Randomness and Probability
Section 5.1 and 5.2 Probability
Independence and the Multiplication Rule
CONDITIONAL PROBABILITY and INDEPENDENCE In many experiments we have partial information about the outcome, when we use this info the sample space becomes.
MA 102 Statistical Controversies Monday, April 1, 2002 Today: Randomness and probability Probability models and rules Reading (for Wednesday): Chapter.
Section The Idea of Probability Statistics.
Addition & Multiplication Rules BUSA 2100, Section 4.3.
Probability of 2 Independent Events Example – Two Independent Events.
Chapter 4 Probability See.
Math 409/409G History of Mathematics
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.
Math 15 – Elementary Statistics Sections 7.1 – 7.3 Probability – Who are the Frequentists?
AP Statistics Chapter 6 Notes. Probability Terms Random: Individual outcomes are uncertain, but there is a predictable distribution of outcomes in the.
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)
Chapter 1:Independent and Dependent Events
Some Probability Rules Compound Events
Lesson 6 – 2b Probability Models Part II. Knowledge Objectives Explain what is meant by random phenomenon. Explain what it means to say that the idea.
Conditional Probability Objective: I can find the probability of a conditional event.
Section 3.2 Notes Conditional Probability. Conditional probability is the probability of an event occurring, given that another event has already occurred.
The Wonderful World… of Probability. When do we use Probability?
Probability Basics Section Starter Roll two dice and record the sum shown. Repeat until you have done 20 rolls. Write a list of all the possible.
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 Rules.  P and 44  P ,48,51  P ,57,60.
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.
Section 4.5-Counting Rules
What is the probability of two or more independent events occurring?
Independent Events The occurrence (or non- occurrence) of one event does not change the probability that the other event will occur.
Conditional Probability and the Multiplication Rule NOTES Coach Bridges.
Multiplication Rule Statistics B Mr. Evans. Addition vs. Multiplication Rule The addition rule helped us solve problems when we performed one task and.
Lesson 4-6 Probability of Compound Events Objectives: To find the probability of independent and dependent events.
Probability VOCAB!. What is probability? The probability of an event is a measure of the likelihood that the event will occur. When all outcomes are equally.
Section 5.3 Independence and the Multiplication Rule.
Probability. Probability of an Event A measure of the likelihood that an event will occur. Example: What is the probability of selecting a heart from.
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.
Section The Idea of Probability AP Statistics
Probability of Dependent Events Section 10.3 What key words tell us it is a dependent event?
AP Statistics Probability Rules. Definitions Probability of an Outcome: A number that represents the likelihood of the occurrence of an outcome. Probability.
Probability 6.4. Outcomes Possible results of an action Examples: – 6 outcomes for rolling a dice (1,2,3,4,56) – 2 outcomes for flipping a coin (heads.
Math 1320 Chapter 7: Probability 7.3 Probability and Probability Models.
AP STATISTICS LESSON AP STATISTICS LESSON PROBABILITY MODELS.
Probability What is the probability of rolling “snake eyes” in one roll? What is the probability of rolling “yahtzee” in one roll?
§12.4 Multiplying Probabilities Algebra II Honors.
Section Probability Models AP Statistics December 2, 2010.
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.
Independent and Dependent Events. Learning Targets Determine when events are dependent or independent. Learn to use the multiplication rule of probability.
Definitions Addition Rule Multiplication Rule Tables
Multiplication Rule and Conditional Probability
Bell Ringer What is the probability of pulling the following from a standard deck of cards? The Ace of Spades A heart A red queen A black number card The.
Probability.
Statistics 1: Elementary Statistics
Section 6.2 Probability Models
Probability of Dependent Events
Compound Probability.
Statistics 1: Elementary Statistics
Mr. Reider AP Stat November 18, 2010
Section 6.2 Probability Models
Section 14.5 – Independent vs. Dependent Events
Section 6.1 The Idea of Probability
Probability Notes Please fill in the blanks on your notes to complete them. Please keep all notes throughout the entire week and unit for use on the quizzes.
Conditional Probability and the Multiplication Rule
video WARM-uP Lesson 33 + brain break Exit card
“And” Probabilities.
Probability.
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?
Theoretical Probability – Math 6
Figure 8.1 A pair of dice. Figure 8.1. Figure 8.1 A pair of dice. Figure 8.1.
Compound Events – Independent and Dependent
Presentation transcript:

Section Probability Models AP Statistics toddfadoir.com/apstats

AP Statistics, Section 6.2, Part 32 Definition of Independence Two events A and B are independent if knowing that one occurs does not change the probability of that the other occurs. If A and B are independent, This is the multiplication rule for independent events

AP Statistics, Section 6.2, Part 33 Example of Independent Events First coin flip, second coin flip Rolling of two dice Choosing two cards with replacement

AP Statistics, Section 6.2, Part 34 Example of Not Independent Events Choosing two cards without replacement Scoring above 600 on verbal SAT, scoring 600 on math SAT

AP Statistics, Section 6.2, Part 35 Independent and complements If A and B are independent, then so are…  A c and B c  A and B c  A c and B

AP Statistics, Section 6.2, Part 36 Are these events independent? A={person is left-handed} B={person is an only child} C={person is blue eyed}

AP Statistics, Section 6.2, Part 37 Are these events independent? A={person is college graduate} B={person is older than 25} C={person is a bank president}

AP Statistics, Section 6.2, Part 38 Traffic light example Suppose the timing of the lights on morning commute are independent. The probability of being stopped at any light is.6. P(getting through all 6 lights) .4 6 = P(getting stopped at all the lights) .6 6 =

AP Statistics, Section 6.2, Part 39 Assignment Exercises: all, odd