1. Complete the sample space diagram on your whiteboards
Sample Space Diagrams
This table is one way of displaying all the outcomes from throwing two dice and adding them together. It is called a sample space diagram 9 6 5 4 8 3 2 1 +
Second die
First die
Complete the sample space diagram on your whiteboards

2. Sample Space Diagrams
The sample space diagram can be used to find probabilities.
What is the probability of getting a total more than 5?
What is the probability of getting a total less than 10?
What is the probability of getting a total that is a square number?
What is the probability of getting an even total?
What is the probability of getting an odd total?
What is the probability of getting a total less than 13? 12 11 10 9 8 7 6 5 4 3 2 1 +
Second die
First die 2 3 4 5 6 7 3 4 5 6 7 8 4 5 6 7 8 9 5 6 7 8 9 10 6 7 8 9 10 11 7 8 9 10 11 12

3. if the difference is 1 or 2: Anton wins
Two Dice Games:
Use sample space diagrams to show how you decide whether the game is fair.
(1)
(2)
two dice are rolled and the numbers on each dice are subtracted (smaller from larger)
if the difference is 1 or 2: Anton wins
if the difference is 0, 3, 4 or 5: Brisa wins
is this a fair game?
two dice are rolled and the numbers on each dice are added
if the total is prime: Adrian wins
if the total is composite (not prime): Bella wins
is this a fair game?
(3)
(4)
two dice are rolled and the numbers on each are multiplied and then this is divided by 5
the score is the remainder
e.g. for (1, 3) you get 3  5 the remainder is 3
if the remainder is 0 or 1: Alice wins
if the remainder is 2, 3 or 4: Bram wins
is this a fair game?
two dice are rolled and the numbers on each are multiplied and then this is divided by 3
the score is the remainder
e.g. for (2, 5) you get 10  3 the remainder is 1
if the remainder is 0: Alwyn wins
if the remainder is 1 or 2: Bart wins
is this a fair game?

4. Complete the sample space diagram on your whiteboards
Sample Space Diagrams
A coin and a ten sided die are thrown and the outcomes recorded in the two-way table below.
Dice + 1 2 3 4 5 6 7 8 9 10 H
2,H
7,H T
8,T
Coin
Complete the sample space diagram on your whiteboards

5. Sample Space Diagrams
A coin and a ten sided die are thrown and the outcomes recorded in the two-way table below.
Die + 1 2 3 4 5 6 7 8 9 10 H
1,H
2,H
3,H
4,H
5,H
6,H
7,H
8,H
9,H
10,H T
1,T
2,T
3,T
4,T
5,T
6,T
7,T
8,T
9,T
10,T
Coin
How many outcomes are there?
What is the probability of getting a head and an even number?
What is the probability of getting a tail and a square number?

6. Complete the sample space diagram on your whiteboards
Sample Space Diagrams
Two four sided dice are thrown and the numbers added together.
Complete the sample space diagram on your whiteboards
What is the probability of getting:
a total more than 4?
a total less than 8?
a prime number total?
a total that is at least 3?
a total of 4 or 5?
the same number on both dice?
a lower number on the
first dice? 8 7 6 5 4 3 2 1 +
Second die
First die

7. Sample Space Diagrams 8 7 6 5 4 3 2 1 + 6 5 4 3 7 2 6 5 4 3
Second die
First die
Use the table to find the probability of getting a score of 3 or 4. 6 5 4 3 7 2 6 5 4 3
The probability of getting a score of 3 or 4 can be written as P(3 or 4).
P(3 or 4) = 5 16 7 16
P(5 or 6) = 3 16
P(2 or 7) =