**13.1 Sample Space**

**(A) Experiment**

**1.**An

**experiment**is a process or an action in making an observation to obtain the required

**results**.

**2.**The

**result**of the experiment is called the

**outcome**.

**(B)**

**Listing all the possible outcomes of an experiment**

We can list all the possible outcomes of an experiment by carrying out the experiment or by reasoning.

**Example 1:**

Six cards as shown in the diagram above are placed in a box. A card is drawn at random from the box. List all the possible outcomes.

*Solution:*All the possible outcomes are O, R, A, N, G, E.

**(C)**

**Sample space of an experiment**

**1.**A

**sample space**is the set of all the possible outcomes of an experiment.

**2.**The letter

*is used to represent the sample space and all the possible outcomes are written in brackets, { }.*

**S****Example 2:**

A letter is chosen from the word ‘

*GARDEN*’.**(a)**List all the possible outcomes.

**(b)**Write the sample space,

*S*, using set notation.

*Solution:***(a)**The possible outcomes are

**and**

*G, A, R, D, E*

*N***(b)**Sample space,

*S*= {

**}**

*G, A, R, D, E, N*