Question

What is the theoretical probability of rolling a number less than 5? Write the fraction, decimal and percent.

Answer 1

Given:

Rolling a fair dice.

To find:

The theoretical probability of rolling a number less than 5.

Solution:

The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.

Total outcomes = 6

Numbers less than 5 are 1, 2, 3, 4.

Favorable outcomes = 4

Now, the theoretical probability of rolling a number less than 5 is:

$\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$\text{Probability}=\dfrac{4}{6}$

$\text{Probability}=\dfrac{2}{3}$

In decimal form, it can be written as:

$\text{Probability}\approx 0.67$

In percentage form, it can be written as:

$\text{Probability}=\dfrac{2}{3}\times 100$

$\text{Probability}\approx 66.67%$

Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are $\dfrac{2}{3}, 0.67$ and $66.67\%$ respectively.