Question

The probability of an event is greater than or equal to ______ and less than or equal to ______ .

Answer 1

• The probability of an event is calculated by dividing the favorable number of outcomes by the total number of outcomes.
• So, if the favorable number of outcomes of an event is zero then it is an impossible event.
• Therefore, the probability of an event cannot be lesser than zero but it can be equal to zero.
• And if the favorable number of outcomes of an event is equal to the total number of outcomes, then it is a sure event.
• Therefore, the probability of an event cannot be greater than one but it can be equal to one.

From the above statement, we can conclude that $\mathbf{0}\mathbf{\le }\mathit{P}\left(E\right)\mathbf{\le }\mathbf{1}$, where $P\left(E\right)$ is the probability of an event.

Final answer :

Hence, the probability of an event is greater than or equal to $\mathbf{0}$ and less than or equal to $\mathbf{1}$ .