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}=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}`

`\text{Probability}=(4)/(6)`

`\text{Probability}=(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}=(2)/(3)* 100`

`\text{Probability}\approx 66.67%`

Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are
`(2)/(3), 0.67` and
`66.67\%` respectively.