Use the table to answer the question. Bowling Dancing Movies Total 20–25 Years Old 15 13 12 40 26–30 Years Old 12 10 8 30 31–35 Years Old 18 11 21 50 Total 45 34 41 120 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 1

The total number of people in the 31-35 years old category is 50. Out of those 50 people, 21 said they like to spend their time going to the movies.

Therefore, the probability that a person spends their time going to the movies, given that they are 31–35 years old is 21/50 = 0.42 or 42%.

So, the probability is 42%.