Respuesta :
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:
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{4}{6}[/tex]
[tex]\text{Probability}=\dfrac{2}{3}[/tex]
In decimal form, it can be written as:
[tex]\text{Probability}\approx 0.67[/tex]
In percentage form, it can be written as:
[tex]\text{Probability}=\dfrac{2}{3}\times 100[/tex]
[tex]\text{Probability}\approx 66.67%[/tex]
Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are [tex]\dfrac{2}{3}, 0.67[/tex] and [tex]66.67\%[/tex] respectively.
