A sample
space is a set of all possible outcomes
for an activity or
experiment.
Activity 
Sample
Space 
Rolling
a die

There will be 6 outcomes in
the sample space:
{1,
2, 3, 4, 5, 6} 
Tossing
a coin

There will be 2 outcomes in
the sample space:
{
Heads, Tails} 
Drawing
a card from a standard deck

There will be 52 cards in the
sample space:
{Spades:
2,3,4,5,6,7,8,9,10, ace, jack queen, king,
Clubs: 2,3,4,5,6,7,8,9,10, ace, jack, queen, king,
Diamonds: 2,3,4,5,6,7,8,9,10, ace, jack, queen, king,
Hearts: 2,3,4,5,6,7,8,9,10, ace, jack, queen, king} 
Drawing
one marble from the bottle

There will be 8 marbles in the
sample space:
{blue marble, blue
marble, blue marble, blue marble, blue marble, red marble, red
marble, red marble} 
Rolling
a pair of dice

There will be 36 outcomes in
the sample space:
{(1,1)
(1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)} 
Choosing
an outfit from a green blouse, a red blouse, a black skirt, a pair
of sneakers, and a pair of sandals

There will be 4 outfit
combinations in the sample space:
{green
blouseskirtsneakers,
green blouseskirtsandals,
red blouseskirtsneakers,
red blouseskirtsandals} 
As you can see,
sample spaces can become very large.
When determining a
sample space, be sure to consider ALL possibilities. Oftentimes this
can be a difficult task. To make this process easier, we may wish to
use the Counting Principle.
Remember:
A sample space is the set of
ALL
possible outcomes. 

