The manager of a movie theater randomly surveyed 50 people who entered the movie theater on Friday. The manager asked about the type of movie each person preferred. The results of the survey are shown in the table.

The statement that is true is a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

As is given that the total number of people surveyed is 50, while the table suggests the preferences of the people about the movie.

Type of Movie Number of People

Horror 12

Comedy 15

Action 17

Drama 6

Therefore, if take the probability of a person watching a horror or comedy movie it will be,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

[tex]\rm Probability=\dfrac{\text{Number of people preferring Horror or comedy}}{\text{Total Number of people surveyed}}\\\\Probability = \dfrac{12+15}{50} = 0.54[/tex]

The probability of a person watching an action or drama movie it will be,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

[tex]\rm Probability=\dfrac{\text{Number of people preferring Action or drama}}{\text{Total Number of people surveyed}}\\\\Probability = \dfrac{17+6}{50} = 0.46[/tex]

Since the probability of a person watching a horror or comedy movie is more, therefore, a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.

Thus, the statement that is true is a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.

Learn more about Probability:

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