In the study of probability, an **experiment** is a process or investigation from which results are observed or recorded.

An **outcome** is a possible result of an experiment.

A **sample space **is the set of all possible outcomes in the experiment. It is usually denoted by the letter *S* . Sample space can be written using the set notation, { }.

**Experiment 1**** :** Tossing a coin

Possible outcomes are head or tail.

Sample space, *S* = {head, tail}.

**Experiment 2****:** Tossing a die

Possible outcomes are the numbers 1, 2, 3, 4, 5, and 6

Sample space, *S* = {1, 2, 3, 4, 5, 6}.

**Experiment 3****: ** Picking a card

In an experiment, a card is picked from a stack of six cards, which spell the word **PASCAL**.

Possible outcomes are P, A _{1}, S, C, A _{2} and L.

Sample space, *S* = {P, A _{1}, S, C, A _{2} L}.* There are 2 cards with the letter ‘A’*

**Experiment 4**** :** Picking 2 marbles, one at a time, from a bag that contains many blue and red marbles.

Possible outcomes are: (Blue, Blue), (Blue, Red), (Red, Blue) and (Red, Red).

Sample space, *S* = {(B,B), (B,R), (R,B), (R,R)}.

Lesson on Finding Probability and Sample Space

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