Question

Alexa has a packet containing $30$ chocolates. Her favorites are the blue and the green ones. The table below shows the frequency of each different chocolate selected as she picked all $30$ chocolates one-by-one and finished them all.

Chocolate color	Red	Yellow	Blue	Green
Frequency	9	5	6	10

What is the relative frequency of the chocolate picked up by Alexa to be one of her favorites ?

• A. $\frac{7}{15}$
  
• B. $\frac{11}{30}$
  
• C. $\frac{1}{2}$
  
• D. $\frac{8}{15}$
  

Answer 1

The correct option is D $\frac{8}{15}$


The relative frequency is given as:
$\text{Relative frequency}=\frac{\text{Number of times an event has occured}}{\text{Total number of trials}}$

$\text{Frequency of chocolates that are Alexa's favorite}$
$=\text{Frequency of blue chocolates}+$
$\text{Frequency of green chocolates}$

$\text{Frequency of chocolates that are Alexa's favorite}$
$=6+10$

$\text{Relative frequency of the picked chocolate to be one of her favorites}$ $=\frac{\text{Frequency of blue chocolate + Frequency of green chocolate}}{30}$


Frequency of blue chocolate $=6$
Frequency of green chocolate $=10$


$\text{Relative frequency of the picked chocolate to be one of her favorites}$
$=\frac{6+10}{30}$

$=\frac{16}{30}$

$=\frac{8}{15}$

The relative frequency of the picked chocolate to be one of Alexa's favorites is $\frac{8}{15}$.

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