Question

$0\le P\left(E\right)\le$ _________.

Answer 1

The probability of any event $P\left(E\right)$ is calculated by dividing the favorable outcomes by the total outcomes. The probability of an impossible event is $0$ while of a sure event is $1$. It can never be less than $0$ or more than $1$. It is never negative as both the favorable outcome and the total outcome cannot be negative. It cannot be more than $1$as the favorable outcome cannot be more than the total outcomes. For example, if we roll dice the probability of getting an outcome less than $1$ or greater than $6$ is $0$ and the possible outcomes i.e. $1,2,3,4,5or6$ is $\frac{1}{6}$. Therefore, the probability of any event stays between $0$ and $1$ i.e. $0\le P\left(E\right)\le 1$.