Solve Me, I Dare You! Classical or Empirical? Name That Formula! Mutually Exclusive, or not? Vocabulary 500 400 300 200 100 200 300 400 500 100 200 300.

Slides:



Advertisements
Similar presentations
Probability and Counting Rules
Advertisements

Probability Rules Section 4.2 Created by Laura Ralston.
Section 5.1 and 5.2 Probability
Chapter 6: Probability : The Study of Randomness “We figured the odds as best we could, and then we rolled the dice.” US President Jimmy Carter June 10,
How likely something is to happen.
Unit 4 Sections 4-1 & & 4-2: Sample Spaces and Probability  Probability – the chance of an event occurring.  Probability event – a chance process.
Multiplication Rules for Probability Independent Events Two events are independent if the fact that A occurs does not affect the probability of B occuring.
1 1 PRESENTED BY E. G. GASCON Introduction to Probability Section 7.3, 7.4, 7.5.
1.When rolling two dice, what is probability that your sum will be 4 or 5? 2.When rolling two dice, what is the probability that your sum will be an even.
Chapter 4 Using Probability and Probability Distributions
Thinking Mathematically
Probability Of An Event Dhon G. Dungca, M.Eng’g..
Business Statistics: A Decision-Making Approach, 7e © 2008 Prentice-Hall, Inc. Chap 4-1 Business Statistics: A Decision-Making Approach 7 th Edition Chapter.
Conditional Probability and Independent Events. Conditional Probability if we have some information about the result…use it to adjust the probability.
Probability Rules l Rule 1. The probability of any event (A) is a number between zero and one. 0 < P(A) < 1.
Chapter 6 Probabilit y Vocabulary Probability – the proportion of times the outcome would occur in a very long series of repetitions (likelihood of an.
Psychology 290 Lab 10 – Probability Feb. 6 – Probability Mutually Exclusive Additive Rule Multiplicative Rule (joint probability) With or without.
Chapter 4 Probability See.
Overview 5.1 Introducing Probability 5.2 Combining Events
Aim: What are the additional rules of probability? HW#4: complete worksheet titled: “applying probability” TEST TUESDAY 3/9/10.
CHAPTER 4 PROBABILITY.
Conditional Probability
Math 409/409G History of Mathematics
“PROBABILITY” Some important terms Event: An event is one or more of the possible outcomes of an activity. When we toss a coin there are two possibilities,
Copyright © 2010 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin Chapter 4 Probability.
AP Statistics Chapter 6 Notes. Probability Terms Random: Individual outcomes are uncertain, but there is a predictable distribution of outcomes in the.
Warm-Up 1. What is Benford’s Law?
13.4 Compound Probability.
Page 973, 10.3, % 9.43% % 11. Permutation 12. Permutation 13. Combination 14. Combination, 18%
Some Probability Rules Compound Events
You probability wonder what we’re going to do next!
Sec 4.4 The multiplication Rule and conditional probability.
Chapter 4.3 Multiplication Rules.
Probability. Basic Concepts of Probability and Counting.
Warm Up One card is drawn from the deck. Find each probability.
Chapter 12 – Probability and Statistics 12.4 – Multiplying Probabilities.
Chapter 7 Probability. 7.1 The Nature of Probability.
Chapter 4 Probability. Definitions A probability experiment is a chance process that leads to well-defined results called outcomes. An outcome is the.
WRITE DOWN 5 WAYS IN WHICH YOU SEE/USE PROBABILITY IN EVERY DAY LIFE.
Review Homework pages Example: Counting the number of heads in 10 coin tosses. 2.2/
Addition Rules for Probability CHAPTER 4.2.  A person is female  A person is Republican  A person is both female and a Republican  A person is a Democrat.
Math I.  Probability is the chance that something will happen.  Probability is most often expressed as a fraction, a decimal, a percent, or can also.
12.4 Probability of Compound Events. Vocabulary Compound Event: the union or intersection of two events. Mutually Exclusive Events: events A and B are.
13.3 Conditional Probability and Intersections of Events Understand how to compute conditional probability. Calculate the probability of the intersection.
Dr. Fowler AFM Unit 7-8 Probability. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Probability What’s the chance of that happening? MM1D2 a, b, c.
Introduction to Probability (Dr. Monticino). Assignment Sheet  Read Chapters 13 and 14  Assignment #8 (Due Wednesday March 23 rd )  Chapter 13  Exercise.
SECTION 11-2 Events Involving “Not” and “Or” Slide
Chapter 4 Probability, Randomness, and Uncertainty.
Statistics.  Probability experiment: An action through which specific results (counts, measurements, or responses) are obtained.  Outcome: The result.
Chapter 10 – Data Analysis and Probability 10.8 – Probability of Independent and Dependent Events.
Independent Events The occurrence (or non- occurrence) of one event does not change the probability that the other event will occur.
+ Chapter 5 Overview 5.1 Introducing Probability 5.2 Combining Events 5.3 Conditional Probability 5.4 Counting Methods 1.
Unit 4 Section 3.1.
PROBABILITY. What is Probability? Def: The chance of an event occuring. Where is it used? –Lotteries, gambling, weather forecasting, insurance, investments,
Sample Spaces and Probability Addition Rules Multiplication Rules and Conditional Probability Counting Rules Probability and Counting Rules
Probability. Definitions Probability: The chance of an event occurring. Probability Experiments: A process that leads to well- defined results called.
Statistics for Managers 5th Edition
Section 5.1 and 5.2 Probability
Mathematics Department
Good morning! August 14, Good morning! August 14, 2017.
Chapter 3 Probability.
Chapter 4 Probability.
The Addition Rule.
Probability Probability underlies statistical inference - the drawing of conclusions from a sample of data. If samples are drawn at random, their characteristics.
Additional Rule of Probability
Probability Rules Rule 1.
Adapted from Walch Education
Applied Statistical and Optimization Models
Presentation transcript:

Solve Me, I Dare You! Classical or Empirical? Name That Formula! Mutually Exclusive, or not? Vocabulary

Vocabulary -100 Points The result of a single trial of a probability experiment is.

OUTCOME!

Vocabulary -200 Points Events that have the same probability of occurring are.

Equally Likely Events

Vocabulary -300 Points If event A does not affect event B, these events are.

Independent This guy!^^

Vocabulary -400 Points Drawing a card from a deck, not replacing it, and then drawing a second card. Selecting a ball from an urn, not replacing it, and then selecting a second ball. And Parking in a no parking zone and getting a parking ticket. These are all examples of.

Dependent events!

Vocabulary -500 Points The event of getting a king on the second draw given that an ace was drawn the first time is called,.

Conditional Probability

Mutually Exclusive or Not? -100 Points Rolling a dice and getting a 3 and getting an odd number!

They are not mutually exclusive because a 3 is an optional odd number to roll on a dice.

Mutually Exclusive or Not? Points Rolling a dice and getting a number greater than 4 and a number less than 4.

These events are mutually exclusive because the first number must be a 5 or a 6, and the last number must be a 1, 2, or 3.

Mutually Exclusive or Not? -300 Points Select one of your best friends: He/she is a runner and drives.

These events are mutually exclusive!

Mutually Exclusive or Not? Points Jonathan has 4 apples, 2 oranges and 1 banana. John also has a friend who has a lot of fruit, like kiwis. John’s friend is a democrat and a republican.

Come on! These events are mutually exclusive!

Mutually Exclusive or Not? Points If Rhonda rolls a dice, throws all 52 cards on the ground, takes one bite of an apple, and texts her best friend Jean, the number rolled on the dice is odd and a prime number.

These events are not meow-tually exclusive.

Name that formula! -100 Points P(Ē)= 1-P(E)

Name that formula! -200 Points P(A and B)= P(A) ● P(B|A)

Multiplication rule 2 for dependent events!

Name that formula! -300 Points P(A or B) = P(A) + P(B)

Name that formula! -400 Points

Name that formula! -500 Points P(E) = number of outcomes in E = n(E) total number of outcomes in sample space n(S)

The formula for grassical probability! (Classical Probability)

Classical or Empirical -100 Points The probability that a person will watch the 6:00 evening news is 0.15.

Classical or Empirical -200 Points The probability of winning the chuck-your-bucks game is 5/36.

Classical or Empirical -300 Points The probability that a bus will be involved in an accident while dropping little Sue at her house is nearly 6%.

Classical or Empirical -400 Points As a restaurant owner, I recognize that owning a fast food joint in Chicago is rather risky considering their success rate in the area is 35%.

Classical or Empirical -500 Points College classes can be difficult. That is why it is important to train you now. For example, Dave got some senioritis and gave up leaving him struggling for his grade. The chances of him passing this semester with a C is 70%.

Solve me, I dare you! -100 Points Three cards drawn from an ordinary deck of cards and not replaced. Find the probability of getting 3 jacks.

1/5525

Solve me, I dare you! -200 Points Find the complement to 59%

Solve me, I dare you! -300 Points It’s baby making time for a couple and they decide to use statistics to figure out the probability of getting 3 girls if the have 3 children.

Solve me, I dare you! -400 Points One man wishes to draw a diamond from a standard deck of cards, chances of his wish coming true?

13/52 = 1/4

Solve me, I dare you! -500 Points When two dice are rolled, the probability of getting a sum of 12 or less.