Question

A spinner is divided into eight equal sectors, numbered from $1$ to $8$. What is the probability of spinning a number that is a multiple of $3$?

• A. $\frac{1}{2}$
  
• B. $\frac{1}{3}$
  
• C. $\frac{1}{8}$
  
• D. $\frac{1}{4}$
  

Answer 1

The correct option is D $\frac{1}{4}$


The multiples of $3$ are $3$ and $6$.
Number of favorable outcomes $=2$

Total number of outcomes $=8$

The probability $\text{P(E)}$ of spinning a number that is a multiple of $3$ is:

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

$\text{P(E)}=\frac{2}{8}$

$\text{P(E)}=\frac{1}{4}$

The probability of spinning a number that is a multiple of $3$ is $\frac{1}{4}$.

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