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.

Hence, this concludes the definition of Certain Event along with its overview.

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