20–25 Years Old Bowling 15, Dancing 13, movies 12, Total 40

Question

26–30 Years Old Bowling 12, Dancing 10, Movies 8, Total 30

31–35 Years Old Bowling 18, Dancing 11, Movies 21, Total 50

Total 45, 34, 41, Toal 120

In a survey, 120 people are asked how they like to spend their free time. Their responses are recorded on the table based on their age. What is the probability that a person spends their time going to the movies, given that they are 31–35 years old? Express your answer as a percentage, rounded to the nearest whole number.

(answer here)%

Answer 1

To find the probability that a person spends their time going to the movies given that they are 31–35 years old, we can use the following formula:

\[ P(\text{Movies} | \text{31–35}) = \frac{\text{Number of people aged 31–35 who like movies}}{\text{Total number of people aged 31–35}} \]

From the data provided, we see that:

• The number of people aged 31–35 who like to go to the movies is 21.
• The total number of people aged 31–35 is given as 50.

Now we can calculate the probability:

\[ P(\text{Movies} | \text{31–35}) = \frac{21}{50} = 0.42 \]

To express this as a percentage, we multiply by 100:

\[ 0.42 \times 100 = 42% \]

Thus, the probability that a person spends their time going to the movies, given that they are 31–35 years old, is:

\[ \text{Answer: } 42% \]