Probability Spaces ORB Education Quality Teaching Resources Visit

Probability Spaces © ORB Education Quality Teaching Resources Visit http: //www. orbeducation. com for the other resources in this pack. Ma. P 028 - Power. Point 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 6 Sided Dice Probability Space

There are 6 possible outcomes Probability Space 6 Sided Dice 1 2 3 4 5 6

Now consider the 12 sided dice Probability Space 12 Sided Dice 6 Sided Dice 1 2 3 4 5 6

There are 12 possible outcomes Probability Space 12 Sided Dice 1 6 Sided Dice 1 2 3 4 5 6 7

Add the scores per combination Probability Space 12 Sided Dice 1 6 Sided Dice 1 2 3 4 5 6 7

1+1=2 Probability Space 12 Sided Dice 1 6 Sided Dice 1 2 3 4 5 6 2 2 3 4 5 6 7

1+2=3 Probability Space 12 Sided Dice 6 Sided Dice 1 2 3 4 5 6 1 2 2 3 3 4 5 6 7

1+3=4 Probability Space 12 Sided Dice 6 Sided Dice 1 2 3 4 5 6 1 2 3 4 4 5 6 7

And so on … Probability Space 12 Sided Dice 6 Sided Dice 1 2 3 4 5 6 7 8

… until the table is filled. Probability Space 6 Sided Dice 12 Sided Dice 1 2 3 4 5 6 7 8 9 10 4 5 6 7 8 9 10 11 12 13

What use is this? Probability Space 6 Sided Dice 12 Sided Dice 1 2 3 4 5 6 7 8 9 10 4 5 6 7 8 9 10 11 12 13

Consider the question below. What is the probability of rolling the two dice and getting a total score of 2? Probability Space 6 Sided Dice 12 Sided Dice 6 1 2 3 4 5 6 7 8 4 5 6 7 8 9 10 11 There are 72 possible outcomes 6 7 8 in this 9 shown 8 9 10 table. 9 10 11 Only one of 12 11 12 13 them results in 12 13 14 a total of 2. 9 10 11 12 13 14 15

Consider the question below. What is the probability of rolling the two dice and getting a total score of 2? So the probability is… Probability Space 6 Sided Dice 12 Sided Dice 6 1 2 3 4 5 6 7 8 9 10 11 12 4 5 6 7 8 9 10 11 12 13 14 15

Now consider this question. What is the probability of rolling the two dice and getting a total score of 8? Probability Space 6 Sided Dice 12 Sided Dice 6 72 outcomes 6 of them result 6 7 8 in a total of 8 7 8 9 1 2 3 4 5 6 7 8 9 10 11 12 4 5 6 7 8 9 10 11 12 13 14 15 10

Power. Points By S. Howarth © ORB Education Quality Teaching Resources Visit http: //www. orbeducation. com for the other resources in this pack. Ma. P 028 - Power. Point Selection 2