Question

Which of the following denotes the valid probability of value for any event?

• A. $0$
• B. $0.45$
• C. $1$
• D. $1.01$

Answer 1

Answer: (A), (B), (C)

$1$

Probability by definition is the extent to which an event is likely to occur, measured by the ratio of the favourable outcomes to the total number of possible outcomes.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$,
where both the numerator and denominator belong to natural numbers.

Since number of favourable outcomes is less than or equal to the total number possible outcomes, their ratio would always end up being $1$ or less than $1$.

$\therefore 0\le \text{Probability}\le 1$

As a result, probability of any event lies between $0$ and $1$ including $0$ and $1.$

Therefore, given probabilities: $0,0.45$ and $1$ are valid but $\mathrm{1.01.}$