To find the probability that a person spends their time going to the movies given that they are 31-35 years old, we need to use the information provided in the table.
From the table, we see the following for the 31-35 years old age group:
- Number of people who like going to the movies: 21
- Total number of people in the 31-35 years old age group: 50
The probability \( P(\text{Movies} | \text{31-35}) \) can be calculated using the formula:
\[ P(\text{Movies} | \text{31-35}) = \frac{\text{Number of people aged 31-35 who like movies}}{\text{Total number of people aged 31-35}} \]
Substituting the values:
\[ P(\text{Movies} | \text{31-35}) = \frac{21}{50} \]
To express this probability as a percentage, we multiply by 100:
\[ P(\text{Movies} | \text{31-35}) \approx \frac{21}{50} \times 100 = 42 \]
Thus, the probability that a person spends their time going to the movies, given that they are 31-35 years old, is 42%.