Probability Space Tables
TUESDAY, 10 JUNE 2014
Probability Space Tables
A probability space table is a way of
organising the possible outcomes when
TWO events happen at the same time.
Example
A die and a 50p coin are thrown at the same time.
How many different results [e.g. Head and 1] can
this event produce?
Answer = 12
The result could be 1 and H etc……..
This can be organised more effectively in a
table rather than a list.
1
2
3
4
5
6
H
T
What is the probability of getting a head and
even number?
The result could be 1 and H etc……..
This can be organised more effectively in a
table rather than a list.
1
H
2
3
4
5
6
H,1
T
What is the probability of getting a head and
even number?
The result could be 1 and H etc……..
This can be organised more effectively in a
table rather than a list.
1
H
H,1
T
T,1
2
3
4
5
6
What is the probability of getting a head and
even number?
The result could be 1 and H etc……..
This can be organised more effectively in a
table rather than a list.
1
2
H
H,1 H,2
T
T,1 T,2
3
4
5
6
What is the probability of getting a head and
even number?
The result could be 1 and H etc……..
This can be organised more effectively in a
table rather than a list.
1
2
3
4
5
6
H
H,1 H,2 H,3 H,4 H,5 H,6
T
T,1 T,2 T,3 T,4 T,5 T,6
What is the probability of getting a head and
even number?
The result could be 1 and H etc……..
This can be organised more effectively in a
table rather than a list.
1
2
3
4
5
6
H
H,1 H,2 H,3 H,4 H,5 H,6
T
T,1 T,2 T,3 T,4 T,5 T,6
What is the probability of getting a head and
even number?
3
1
P(Head & Even) = 12  4
Example
A spinner numbered 1, 2, 3 & 4
and a £1 coin are thrown at the
same time.
Draw a space table to list the
possible outcomes.
1
H
T
2
3
4
Example
A spinner numbered 1, 2, 3 & 4
and a £1 coin are thrown at the
same time.
Draw a space table to list the
possible outcomes.
1
H
T
2
3
H,2
T,3
4
Example
A spinner numbered 1, 2, 3 & 4
and a £1 coin are thrown at the
same time.
Draw a space table to list the
possible outcomes.
1
2
3
4
H
H,1
H,2
H,3
H,4
T
T,1
T,2
T,3
T,4
Example
A spinner numbered 1, 2, 3 & 4
and a £1 coin are thrown at the
same time.
Draw a space table to list the
possible outcomes.
1
2
3
4
H
H,1
H,2
H,3
H,4
T
T,1
T,2
T,3
T,4
P(Head & 3) =
1
8
3
P(T & more than 1)=
8
Example
Two dice are thrown at the same time and the scores on each
die are added together.
Construct a table to demonstrate the possible totals.
Use the table to find the probability that the total score is:
a) Six
b) More than 7
+
1
2
3
4
5
6
c) Less than 11
1
2
3
4
5
6
Example
Two dice are thrown at the same time and the scores on each
die are added together.
Construct a table to demonstrate the possible totals.
Use the table to find the probability that the total score is:
a) Six
b) More than 7
+
1
2
3
4
5
6
c) Less than 11
1
2
3
4
5
6
5
Example
Two dice are thrown at the same time and the scores on each
die are added together.
Construct a table to demonstrate the possible totals.
Use the table to find the probability that the total score is:
a) Six
b) More than 7
+
1
2
3
4
5
6
c) Less than 11
1
2
3
4
5
6
5
8
Example
Two dice are thrown at the same time and the scores on each
die are added together.
Construct a table to demonstrate the possible totals.
Use the table to find the probability that the total score is:
a) Six
b) More than 7
+
1
2
3
4
5
6
c) Less than 11
1
5
2
8
3
4
5
6
6
Example
Two dice are thrown at the same time and the scores on each
die are added together.
Construct a table to demonstrate the possible totals.
Use the table to find the probability that the total score is:
a) Six
b) More than 7
+
1
2
3
4
5
6
c) Less than 11
5
P(6) =
36
15 5

P(more than 7) =
36 12
33 11

P(less than 11) =
36 12
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
7
8
9
10
11
12