Lets Race!
You are going to race the horses numbers 1 to 12
by throwing dice.
Throw the dice. Add the two scores together. The
horse which is that number moves forward a
square.
Before you start you may want to pick 6 horses
each and see if any of yours win.
Class results
Horse Number
1
2
3
4
5
6
7
8
9
10
11
12
Number of Wins in the class
Sample Space
Diagram
+
1
2
3
4
5
6
1
2
3
4
5
6
7
2
3
4
5
6
7
8
3
4
5
6
7
8
9
4
5
6
7
8
9
10
P(1) =
5
6
7
8
9
10
11
6
7
8
9
10
11
12
0
P(2) = 1
36
P(3) = 2
36
3
36
P(5) = 4
36
P(8) =
P(9) =
P(10) =
P(4) =
P(6) =
5
36
P(7) = 6
36
P(11) =
P(12) =
5
36
4
36
3
36
2
36
1
36
+
1
2
3
4
5
6
1
2
3
4
5
6
7
2
3
4
5
6
7
8
3
4
5
6
7
8
9
4
5
6
7
8
9
10
5
6
7
8
9
10
11
6
P( 5) 
7
26 13
P( 9)  36  18
8
1
9 P( 2)  36
10 P( 10)  3  1
36 12
11
35
12 P( 3)  36
26 13

36 18
P( 12) 
0
What would a sample space
diagram look like for throwing a dice
and a coin together?
1
2
3
4
5
6
H
1H
2H
3H
4H
5H
6H
T
1T
2T
3T
4T
5T
6T
P(1,T) =
1
12
P(even,T) =
3
12
P(odd,H) =
3
12
Look at the following situations. Which
ones would you draw a sample space for
and which ones would you not?
1.
2.
3.
4.
5.
What is the probability of picking an Ace from a pack of
cards?
A coin is flipped and a 10 sided dice thrown at the
same time. What is the probability of a head and a 9?
5 blue buttons and 5 black buttons are in a bag. Tom
needs a black button, what is the probability that he
picks the right colour?
There are two bags. One with Mars and Twix in, the
other with Chomps and Fudge Bars in. One bars is
picked from each bag. What is the probability of a
Mars and a Chomp being chosen?
Two friends are playing tennis at the same time
against different people. What is the probability that
they both win?
If you have finished try and answer some of the questions.