Question

What is the probability of getting a number greater than $4$?

Answer 1

Finding the probability of getting a number greater than $4$:

Assume that a die is thrown.

When we throw a die, the possible outcomes are,$S=\left\{1,2,3,4,5,6\right\}$

The number of possible outcomes:$n\left(S\right)=6$

Outcomes favourable, $n\left(R\right)=\left\{5,6\right\}$

The number favorable outcomes, $n\left(R\right)=2$.

$\mathrm{Probability}=\frac{\mathrm{The}\mathrm{number}\mathrm{of}\mathrm{favorable}\mathrm{outcomes}}{\mathrm{The}\mathrm{number}\mathrm{of}\mathrm{total}\mathrm{outcomes}}$

Therefore, the probability of getting a number greater than $4=\frac{n\left(R\right)}{n\left(S\right)}=\frac{2}{6}=\frac{1}{3}$.

Hence, the probability of getting a number greater than $4=\frac{1}{3}$.