Probability: Sample Space

Sample space - the set of all possible outcomes of an experiment.

Tree Diagrams & Ordered Pairs are often used to list sample space.

Tree Diagram Example: Sketch the sample space for tossing 3 coins.

Ordered Pairs Example: Sample Space for rolling a pair of 6 sided dice.

The probability that a specific event will occur can be described as:

Example: The probability of drawing a black ball out of a bag of 13 coloured balls is 3/13. Find the probability of not drawing a black ball.

• Independent Events - 2 events occur so that neither one affects the probability of the other.

ex. Tossing a coin and rolling a die.

• Dependent Events - when 2 events occur that do affect the probability of the other.

ex. Drawing two cards from a deck without replacement.