Question

The probability of an event is greater than or equal to ____ and less than or equal to $1$.

• A. $0$
• B. $-1$
• C. $-2$
• D. $-3$

Answer 1

The correct option is A $0$

The probability of any event 'E' is defined as:

$\text{P(E)}=\frac{\text{Number of outcomes favorable to event E}}{\text{All possible outcomes}}$

For the impossible event, the number of outcomes favorable to event 'E' $=0$

$⟹\text{P(E)}=0$, for impossible event

For the sure event, the number of outcomes favorable to event 'E' $=$ number of all possible outcomes

$⟹\text{P(E)}=1$, for sure event

$\therefore$ The probability of any event lies between $0$ and $1$ (both included) i.e. $0\le \text{P(E)}\le 1$