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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

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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.

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First we need a table Probability Space

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Now consider the 6 sided dice Probability Space 6 Sided Dice

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There are 6 possible outcomes Probability Space 6 Sided Dice 123456123456

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

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

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

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

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

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

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

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

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

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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.

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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

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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

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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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EXAMPLE 1 Construct a probability distribution

EXAMPLE 1 Construct a probability distribution

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