Question

Find the theoretical probability of getting a $2$ in a fair die throw.

• A. $\frac{2}{6}$
  
• B. $\frac{1}{6}$
  
• C. $\frac{2}{3}$
  
• D. $\frac{1}{4}$
  

Answer 1

The correct option is B $\frac{1}{6}$


A fair die when rolled has $6$ equally likely outcomes, out of which only one outcome is $2$.

Let $\text{P(2)}$ be the probability of rolling a $2$ in a fair die throw.

$\text{P(2)}=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

Number of favorable outcomes $=1$
Total number of outcomes $=6$

$\text{P(2)}=\frac{1}{6}$


The theoretical probability that a fair die when rolled shows a number $2$ is $\frac{1}{6}$.

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