# Certain Event

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## Definition: Certain Event

An event is said to be a Certain Event if there is an absolute surety on the chance of its occurrence.

The probability of certain event is said to be 1. In other words, a certain event contains all the elements of the sample space.

Consider the above figure in which A is the sample space. B and C are the events in the sample space A.

Let,

A = Set of all even natural numbers less than 16 = {2,4,6,8,10,12,14}

B = Set of all even natural numbers less than 10 = {2,4,6,8}

C = Set of all whole numbers between 0 and 16, excluding the end values = {2,4,6,8,10,12,14}

The elements of both event A and C are identical. Thus C is said to be the certain event of A.

Some other examples of certain events are:

1. If today is a Tuesday, the probability of yesterday being a Monday is 1.
2. If Chetan is of 24 years old, the probability of he turning 25 on his next birthday is 25.

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