Answered

A group of people were asked, "What time do you prefer to see a movie?" The two-way table below represents the results by their age.

[tex]\[
\begin{tabular}{lccccc}
& $16-20$ & $21-25$ & $26-30$ & Over 30 & Totals \\
Morning & 4 & 2 & 12 & 25 & 43 \\
Afternoon & 8 & 12 & 18 & 32 & 70 \\
Evening & 28 & 34 & 28 & 11 & 101 \\
Late Night & 34 & 18 & 21 & 4 & 77 \\
Totals & 74 & 66 & 79 & 72 & 291 \\
\end{tabular}
\][/tex]

What is the approximate probability that a person will select a late-night movie given they are between the ages of 21-25?

A. 23\%

B. 27\%

C. 6\%

D. 18\%



Answer :

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%.