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To determine the probability that a person will select a late-night movie given they are between the ages of 21-25, you should follow these steps:
1. Identify the total number of people aged 21-25.
2. Identify the number of people aged 21-25 who prefer late-night movies.
3. Calculate the probability as a percentage.
Given the table:
- The total number of people aged 21-25 is 66.
- The number of people aged 21-25 who prefer late-night movies is 18.
To find the probability, you need to divide the number of people aged 21-25 who prefer late-night movies by the total number of people aged 21-25 and then multiply by 100 to convert it to a percentage.
So the calculation you perform is:
[tex]\[ \text{Probability} = \left( \frac{18}{66} \right) \times 100 \][/tex]
The result of this calculation is approximately 27.27%.
Therefore, the closest percentage given among the choices is 27%.
So, the correct answer is 27%.
1. Identify the total number of people aged 21-25.
2. Identify the number of people aged 21-25 who prefer late-night movies.
3. Calculate the probability as a percentage.
Given the table:
- The total number of people aged 21-25 is 66.
- The number of people aged 21-25 who prefer late-night movies is 18.
To find the probability, you need to divide the number of people aged 21-25 who prefer late-night movies by the total number of people aged 21-25 and then multiply by 100 to convert it to a percentage.
So the calculation you perform is:
[tex]\[ \text{Probability} = \left( \frac{18}{66} \right) \times 100 \][/tex]
The result of this calculation is approximately 27.27%.
Therefore, the closest percentage given among the choices is 27%.
So, the correct answer is 27%.
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