# Probability Spaces © ORB Education Quality Teaching Resources Visit for the other resources in this pack. MaP028 - PowerPoint.

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Probability Spaces © ORB Education Quality Teaching Resources Visit http://www.orbeducation.com.au for the other resources in this pack. MaP028 - PowerPoint Selection 2

Probability Spaces This slide show will demonstrate how to draw a probability space and use it to calculate probabilities. The example will draw a probability space for a 6 sided and a 12 sided dice.

First we need a table Probability Space

Now consider the 6 sided dice Probability Space 6 Sided Dice

There are 6 possible outcomes Probability Space 6 Sided Dice 123456123456

Now consider the 12 sided dice Probability Space 12 Sided Dice 6 Sided Dice 123456123456

There are 12 possible outcomes Probability Space 12 Sided Dice 6 Sided Dice 123456123456 123456789101112

Add the scores per combination Probability Space 12 Sided Dice 6 Sided Dice 123456123456 123456789101112

1 + 1 = 2 Probability Space 12 Sided Dice 6 Sided Dice 2123456123456 123456789101112

1 + 2 = 3 Probability Space 12 Sided Dice 6 Sided Dice 2323123456123456 123456789101112

1 + 3 = 4 Probability Space 12 Sided Dice 6 Sided Dice 234234123456123456 123456789101112

And so on … Probability Space 12 Sided Dice 6 Sided Dice 2345678910111213123456123456 123456789101112

… until the table is filled. Probability Space 12 Sided Dice 6 Sided Dice 2345678910111213 34567891011121314 456789101112131415 5678910111213141516 67891011121314151617 789101112131415161718 123456123456 123456789101112

What use is this? Probability Space 12 Sided Dice 6 Sided Dice 2345678910111213 34567891011121314 456789101112131415 5678910111213141516 67891011121314151617 789101112131415161718 123456123456 123456789101112

There are 72 possible outcomes shown in this table. Only one of them results in a total of 2. What is the probability of rolling the two dice and getting a total score of 2? Probability Space 12 Sided Dice 6 Sided Dice 2345678910111213 34567891011121314 456789101112131415 5678910111213141516 67891011121314151617 789101112131415161718 123456789101112 123456123456 Consider the question below.

So the probability is… What is the probability of rolling the two dice and getting a total score of 2? Probability Space 12 Sided Dice 6 Sided Dice 2345678910111213 34567891011121314 456789101112131415 5678910111213141516 67891011121314151617 789101112131415161718 123456789101112 123456123456

Now consider this question. 72 outcomes 6 of them result in a total of 8 What is the probability of rolling the two dice and getting a total score of 8? Probability Space 12 Sided Dice 6 Sided Dice 2345678910111213 34567891011121314 456789101112131415 5678910111213141516 67891011121314151617 789101112131415161718 123456789101112 123456123456

PowerPoints By S. Howarth © ORB Education Quality Teaching Resources Visit http://www.orbeducation.com.au for the other resources in this pack. MaP028 - PowerPoint Selection 2

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