Playing with Dice 08/27/20 22 Copyright © 2010 … REMTECH, inc … All Rights Reserved 1 ● 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)

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

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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

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Playing with Dice

● 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)

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

Predicting the Outcome of a Single Die

Click Reset and the Roll Die button to simulate rolling a single die 10 times!

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)

Roll Die#1#2#3#4#5#6#7#8#9

#10

Correct

RollGuess Outcome

Reset

Page 3: Playing with Dice 2/20/2016Copyright 2010 REMTECH, inc All Rights Reserved1 ● Rolling a Single Die 6 possible outcomes (1 6) ● Rolling Dice is

Predicting the Outcome of a Pair of Dice

Click Reset and Roll Dice to simulate rolling a pair of dice 10 times!

(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

Roll Dice#1#2#3#4#5#6#7#8#9

#10Correct

RollGuess Die 1

Reset

Die 2 Result

Page 4: Playing with Dice 2/20/2016Copyright 2010 REMTECH, inc All Rights Reserved1 ● Rolling a Single Die 6 possible outcomes (1 6) ● Rolling Dice is

Let’s Review What You Have Learned

● 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)