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 3 1 6 5 4 3 2 1 Second die ID: 805646
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Slide1
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
3
1
6
5
4
3
2
1
+
Second die
First die
Complete the sample space diagram on your whiteboards
Slide212
1110
9
8
7
6
11
10
9
8
7
6
5
10
9
8
7
6
5
4
9
8
7
6
5
4
3
8
7
6
5
4
3
2
7
6
5
4
3
2
1
6
5
4
3
2
1
+
Second die
First die
12
11
10
9
8
7
11
10
9
8
7
6
10
9
8
7
6
5
9
8
7
6
5
4
8
7
6
5
4
3
7
6
5
4
3
2
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?
Sample Space Diagrams
Slide3(1)
(2)(3)(4)Two Dice Games: Use sample space diagrams to show how you decide whether the game is fair.two dice are rolled and the numbers on each dice are subtracted (smaller from larger) if the difference is 1 or 2: Anton winsif the difference is 0, 3, 4 or 5: Brisa winsis this a fair game?two dice are rolled and the numbers on each are multiplied and then this is divided by 5the score is the remaindere.g. for (1, 3) you get 3 5 the remainder is 3if the remainder is 0 or 1: Alice winsif the remainder is 2, 3 or 4: Bram winsis 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 winsis this a fair game?two dice are rolled and the numbers on each are multiplied and then this is divided by 3the score is the remaindere.g. for (2, 5) you get 10 3 the remainder is 1
if the remainder is 0: Alwyn winsif the remainder is 1 or 2: Bart winsis this a fair game?
Slide4A coin and a ten sided die are thrown and the outcomes recorded in the two-way table below.
+12
3
4
5
67
89
10
H
2,H
7,H
T
8,T
Dice
Coin
Sample Space Diagrams
Complete the sample space diagram on your whiteboards
Slide5A coin and a ten sided die are thrown and the outcomes recorded in the two-way table below.
Sample Space Diagrams
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?+
12
3
45
67
8
910
H
1,H2,H
3,H4,H
5,H6,H
7,H
8,H9,H
10,HT
1,T2,T
3,T4,T
5,T6,T
7,T
8,T9,T
10,T
Die
Coin
Slide6Sample Space Diagrams
Two four sided dice are thrown and the numbers added together.
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
7
6
5
4
3
6
5
4
3
2
5
4
3
2
1
4
3
2
1
+
Second die
First die
Complete the sample space diagram on your whiteboards
Slide7Sample Space Diagrams
8
7
6
5
4
7
6
5
4
3
6
5
4
3
2
5
4
3
2
1
4
3
2
1
+
Second die
First die
4
4
3
4
3
Use the table to find the probability of getting a score of 3 or 4.
The probability of getting a score of 3 or 4 can be written as
P(3 or 4).
P(3 or 4) =
5
16
P(5 or 6) =
7
16
P(2 or 7) =
3
16
6
5
6
5
4
6
5
4
3
5
4
3
7
7
2
6
5
6
5
6
5
5
Slide8