Question

Which of the following is NOT a valid probability value for any event?

• A. $\frac{5}{6}$
• B. $0$
• C. $\frac{3}{2}$
• D. $1$

Answer 1

The correct option is C $\frac{3}{2}$

As we know, for any event,

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$, where both the numerator and denominator belong to natural numbers.
And,
$0\le \text{Number of favorable outcomes}\le \text{Total number of possible outcomes}$
$\Rightarrow 0\le \text{Probability}\le 1$

Now, in option (c.), the probability value is $\frac{3}{2}$, which is greater than $1$. Threfore, $\frac{3}{2}$ is NOT a valid probability of an event.