The train went 65 miles per hour.
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}}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D%5Cdfrac%7B%5Ctext%7BFavorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20outcomes%7D%7D)
![\text{Probability}=\dfrac{4}{6}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D%5Cdfrac%7B4%7D%7B6%7D)
![\text{Probability}=\dfrac{2}{3}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D%5Cdfrac%7B2%7D%7B3%7D)
In decimal form, it can be written as:
![\text{Probability}\approx 0.67](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%5Capprox%200.67)
In percentage form, it can be written as:
![\text{Probability}=\dfrac{2}{3}\times 100](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D%5Cdfrac%7B2%7D%7B3%7D%5Ctimes%20100)
![\text{Probability}\approx 66.67%](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%5Capprox%2066.67%25)
Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are
and
respectively.