In probability, the sample space is a list of all the possible outcomes of an experiment.

Outcomes are the results of an experiment. For example, think about flipping a coin. There are two possible outcomes - a head or a tail. So when we list (or write out) the sample space, we'd write:

{$\text{heads, tails}$heads, tails}

There are some common items used in probability questions, including cards, dice, coins so it's good to be familiar with their characteristics.

Handy Facts

There are $52$52 cards in a standard deck.

A standard die has $6$6 faces (because it's a cube)

A coin has $2$2 faces- heads and tails

Examples

Question 1

A jar is filled with $4$4 blue marbles and $3$3 red marbles and one is to be chosen at random. List the sample space.

Think: What are all the possible options for what marble will be selected?