Question

What is the probability of a sure event?

Answer 1

Hint: We are asked to find the probability of a sure event. A sure event is an event which will happen for sure without any uncertainties. Probability can be written as the ratio of favorable outcomes and total possible outcomes. In case of a sure event, the favorable outcome is equal to the total possible outcome and we get the value of a sure event.

Complete step by step solution:
According to the question, we have to find the probability of a sure event.
Probability is a mathematical concept which tells us how likely an event will happen. We can express probability as the ratio of favorable outcomes and the total possible outcomes, that is,
\[Probability=\dfrac{Favorable\text{ }outcomes}{Possible\text{ }outcomes}\]
The value of the probability lies between 0 and 1.
So, we are asked about the probability of a sure event. A sure event is one which will certainly happen and has no uncertainty. Since, the event is definitely going to happen, therefore, the probability of a sure event is 1 as the favourable outcome is equal to the total possible outcome.
For example – the probability of getting a number less than 7, when a dice is rolled is 1.
As the numbers in a dice are: 1, 2, 3, 4, 5, 6.
And all of them are less than 7.
Therefore,
\[Probability=\dfrac{Favorable\text{ }outcomes}{Possible\text{ }outcomes}\]
\[\Rightarrow Probability=\dfrac{6}{6}=1\]

Therefore, the probability of a sure event is 1.

Note:The events which give the probability value as 0 are impossible events. Rest of the values between 0 and 1 indicates how likely the event will happen. Events with probability values towards 1 are more likely to happen and the events with probability values towards 0 are less likely to happen.