1. ©G Dear 2009 – Not to be sold/Free to use
Language
of Chance
General Mathematics
Preliminary
Sample Space
Stage 6 - Year 11
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©G Dear 2009 – Not to be sold/Free to use

2. Sample Space (1/3)
A sample space is a list of all possible outcomes for a probability experiment.
n(S) is the number of elements in the sample space.
n(E) is the number of favourable elements in the sample space.
Sometimes elements repeat and so we may be asked for distinct elements.

3. Sample Space Example 1 (2/3)
List the sample space of a barrel of marbles. 2 green, 1 blue and 3 red.
S = {green, green, blue, red, red, red}
Sample Space
n(S) = 6
Number of elements Sample Space
If E = {red, red, red}
n(E) = 3
List of favourable Events
Number of favourable elements

4. Sample Space Example 2 (3/3)
List the sample space of the word WOOLLOOMOOLOO.
S = {W,O,O,L,L,O,O,M,O,O,L,O,O}
n(S) = 13
If E = The letter ‘O’
n(E) = 8