Basic Probability

Basic Mathematics • School learning materials

Learning objectives

Describe how likely events are and calculate simple probabilities.

By the end of this course, you should be able to explain the key ideas, use the methods and answer practice questions.

Lesson notes

Likelihood

An event may be impossible, unlikely, even chance, likely or certain.

Probability scale

Probability ranges from 0 (impossible) to 1 (certain).

Simple probability

Probability = number of favourable outcomes ÷ total number of equally likely outcomes.

Example

A fair coin has two equally likely outcomes. The probability of heads is 1/2.

Worked example

A fair six-sided die has three even numbers (2, 4, 6). P(even) = 3/6 = 1/2.

Practice quiz

Enter an answer for each question. Then select Check answers. For fractions, use forms such as 1/2.