In an experiment, **an event** is the result that we are interested in.

The probability of an event A is writer as p(A)

**Example:**

When a fair dice is thrown, what is the probability of getting

a) the number 5

b) a number that is a multiple of 3

c) a number that is greater than 6

d) a number that is less than 7

**Solution:**

A **fair** die is an unbiased die where each of the six numbers is **equally likely** to turn up.

S = {1, 2, 3, 4, 5, 6}

a) Let A = event of getting the number 5 = {5}

Let n(A) = number of outcomes in event A = 1

n(S) = number of outcomes in S = 6

b) Let B = event of getting a multiple of 3

Multiple of 3 = {3, 6}

c) Let C = event of getting a number greater than 6

There is no number greater than 6 in the sample space S.

C ={}

A probability of **0** means the event will **never** occur.

d) Let D = event of getting a number less than 7

Numbers less than 7 = {1, 2, 3, 4, 5, 6}

A probability of **1** means the event will **always** occur.