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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
715
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B
1130
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C
12
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D
815
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Solution

The correct option is D 815

The relative frequency is given as:
Relative frequency=Number of times an event has occuredTotal number of trials

Frequency of chocolates that are Alexa's favorite
=Frequency of blue chocolates+
Frequency of green chocolates

Frequency of chocolates that are Alexa's favorite
=6+10

Relative frequency of the picked chocolate to be one of her favorites =Frequency of blue chocolate + Frequency of green chocolate30


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


Relative frequency of the picked chocolate to be one of her favorites
=6+1030

=1630

=815

The relative frequency of the picked chocolate to be one of Alexa's favorites is 815.

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

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