Playing with Dice 2/20/2016Copyright © 2010 … REMTECH, inc … All Rights Reserved1 ● Rolling a Single Die – 6 possible outcomes (1 – 6) ● Rolling Dice is.

Slides:

Advertisements

Similar presentations

Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide

Advertisements

Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide

Probability Predictions Ch. 1, Act. 5. Probability The study of random events. Random events are things that happen without predictability – e.g. the.

Games of probability What are my chances?. Roll a single die (6 faces). –What is the probability of each number showing on top? Activity 1: Simple probability:

Dice Games & Probabilities. Thermo & Stat Mech - Spring 2006 Class 16 Dice Games l One die has 6 faces. So, the probabilities associated with a dice game.

Excursions in Modern Mathematics, 7e: Copyright © 2010 Pearson Education, Inc. 15 Chances, Probabilities, and Odds 15.1Random Experiments and.

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

What is Probability? The study of probability helps us figure out the likelihood of something happening. In math we call this “something happening” or.

What is Probability? The study of probability helps us figure out the likelihood of something happening. In math we call this “something happening” or.

Copyright © 2009 Pearson Education, Inc. Chapter 12 Section 1 - Slide 1 P-1 Probability The Nature of Probability.

Risky Business Test Review. The odds of winning most games are.

Review of Probability and Binomial Distributions

Probabilities of common Games How do I avoid bad bets?

My game… You pay £1 to play I roll a dice If it lands on 1 or 2 you win £1.50 If it lands on 3, 4, 5, 6 you lose Will this game make me a profit if 10.

Check it out! : Simple Random Sampling. Players of a dice game roll five dice and earn points according to the combinations of numbers they roll.

E Birbeck 7/04 Simple Probability Definition: Probability : the chance some event will happen. It is the ratio of the number of ways.

Probability and Odds Algebra Seminar

10.1 & 10.2 Probability & Permutations. WARM UP:

Section 11.6 Odds and Expectation Math in Our World.

Lesson 9-1 Pages Simple Events Lesson Check Ch 8.

CONFIDENTIAL 1 Algebra1 Theoretical Probability. CONFIDENTIAL 2 Warm Up 1) choosing a heart. 2) choosing a heart or a diamond. An experiment consists.

PLEASE PASS OUT YOUR ADVISORY FOLDERS! PROBABILITY What do you think the chances are…?

Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide

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,

The Basics of Probability Theory MATH 102 Contemporary Math S. Rook.

Aim: Theoretical Probability Course: Alg. 2 & Trig. Aim: What is the probability of understanding probability? Do Now: How many different possibilities,

Playing the Lottery 6/4/2016Copyright © 2010… REMTECH, inc … All Rights Reserved1 Probability Theory and the Lottery ● The Lottery picks numbers at random.

Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 12.3 Odds.

What is Probability?. The Mathematics of Chance How many possible outcomes are there with a single 6-sided die? What are your “chances” of rolling a 6?

Copyright © 2011 Pearson Education, Inc. Probability: Living with the Odds Discussion Paragraph 7A 1 web 70. Blood Groups 71. Accidents 1 world 72. Probability.

The Wonderful World… of Probability. When do we use Probability?

5.1 Probability in our Daily Lives.  Which of these list is a “random” list of results when flipping a fair coin 10 times?  A) T H T H T H T H T H 

Excursions in Modern Mathematics, 7e: Copyright © 2010 Pearson Education, Inc. 15 Chances, Probabilities, and Odds 15.1Random Experiments and.

Transparency 1 Click the mouse button or press the Space Bar to display the answers.

Theoretical Probability WORDS: The ratio of the number of ways the event can occur to the number of possible outcomes. SYMBOLS: number of ways the event.

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

11/13 Basic probability Probability in our context has to do with the outcomes of repeatable experiments Need an Experiment Set X of outcomes (outcome.

Sect Probability. Def: Probability is the measure of the chances of an event happening A desired outcome is called a success Any other outcome is.

Theoretical Probability. Turn to textbook page 239 to play Never a Six. (See handout for game board.)

Section 11-8 Geometric Probability. probability The chance or likelihood that an event will occur. - It is always a number between zero and one. - It.

Defining Success Understanding Probability of Chance Events.

Aim: Intro to Probability Theory Course: Math Lit. Aim: What is the probability of understanding probability? Do Now: How many different possibilities,

Probability and Simulation The Study of Randomness.

© 2010 Pearson Education, Inc. All rights reserved Chapter 9 9 Probability.

Copyright © 2009 Pearson Education, Inc. Chapter 12 Section 3 - Slide 1 P-3 Probability Odds.

PROBABILITY. What is Probability? Def: The chance of an event occuring. Where is it used? –Lotteries, gambling, weather forecasting, insurance, investments,

Probability. Probability… is the likelihood (chance) that an event will happen. percentagefraction is expressed as a percentage or fraction. Everyday.

Probability Test Review (What are your chances of passing?)

ODDS.  Another way to describe the chance of an event occurring is with odds. The odds in favor of an event is the ratio that compares the number of.

2-6 Probability Theoretical & Experimental. Probability – how likely it is that something will happen – Has a range from 0 – 1 – 0 means it definitely.

Mendel and the Gene Idea.  To determine the chances of inheriting a given trait, scientists use Punnett squares and symbols to represent the genes. 

In games of chance the expectations can be thought of as the average outcome if the game was repeated multiple times. Expectation These calculated expectations.

2 = = = = = = = = = = = = = = = = = =

Statistics & Probability

Probability and Odds PSSA Unit.

Probability Predictions Ch. 1, Act. 5.

Today is Tuesday.

WHAT IS PROBABILITY?.

Determining the theoretical probability of an event

Game Theory “How to Win the Game!”.

PROBABILITY The probability of an event is a value that describes the chance or likelihood that the event will happen or that the event will end with.

Experimental vs. Theoretical Probability

Probability Probability measures the likelihood of an event occurring.

Intro to Probability Math 9.

Probability: Living with the Odds

5-8 Probability and Chance

WARM-UP 3/20 Why is number 7 lucky?

Presentation transcript:

Playing with Dice 2/20/2016Copyright © 2010 … REMTECH, inc … All Rights Reserved1 ● Rolling a Single Die – 6 possible outcomes (1 – 6) ● Rolling Dice is based on the probability of random events occurring What does Probability Theory have to do with Dice? ● Rolling a pair of Dice – 36 number combinations producing 11 possible outcomes (2 – 12) ● Represents the likelihood an event will happen It determines the odds you will win if you gamble using dice ● Expressed as a ratio (fraction) Probability ● Number of desirable outcomes divided by total # of outcomes Random Events (Click to Begin)

Predicting the Outcome of a Single Die Click Reset and the Roll Die button to simulate rolling a single die 10 times! 2/20/2016Copyright © 2010 … REMTECH, inc … All Rights Reserved2 The probability of any roll of a single die matching the guess is always 1/6. For every 100 rolls, you will be right about 16.7% of the time and wrong about 83.3% Not Very Good Odds! (Click to Begin) (Click to Reset)

Predicting the Outcome of a Pair of Dice Click Reset and Roll Dice to simulate rolling a pair of dice 10 times! 2/20/2016Copyright © 2010 … REMTECH, inc … All Rights Reserved3 (Click to Begin) (Click to Reset) The probability of any roll matching the guess ranges from 1/36 to 6/36 For every 100 rolls, you will be right about 9.1% of the time and wrong about 90.9% Even worse Odds than a Single Die

Let’s Review What You Have Learned 2/20/2016Copyright © 2010 … REMTECH, inc … All Rights Reserved4 ● Dice are used in several different forms of gambling ● The outcome of rolling a single die or a pair of dice is truly a random event ● The probability of rolling a pre-selected number with a single die is always 1/6 – meaning the odds are about 5 times greater you won’t than the odds you will ● The probability of rolling a pre-selected number with a pair of dice ranges from 1/36 to 6/36 – meaning the odds are about 5 to 36 times greater you won’t than the odds you will ● The odds (probability) of winning games of chance utilizing dice are poor, but they are much better than other types of gambling such as the lottery, slot machines and poker (Click to Begin)