Question

You roll a die $20$ times. Seven of those times, you get a $5$. What is the experimental probability of rolling a $5$?

• A. $\frac{1}{20}$
  
• B. $\frac{5}{20}$
  
• C. $\frac{7}{20}$
  
• D. $\frac{12}{20}$
  

Answer 1

The correct option is C $\frac{7}{20}$


Given:
$\bullet$ Dice is rolled $20$ times.
$\bullet$ $5$ is obtained $7$ times.


The experimental probability $\text{P(5)}$ of rolling a $5$ is given as:

Number of favorable outcomes $=$ Number of times 5 is obtained $=7$

Total number of outcomes $=$ Number of times dice is rolled $=20$

$\text{P(5)}=\frac{\text{Number of times 5 is obtained}}{\text{Number of times dice is rolled}}$

$\text{P(5)}=\frac{7}{20}$

Therefore, option (c.) is the correct answer.