Question

Question Use the table to answer the question. Running Swimming Biking Total 13-14 years old 36 21 68 125 15-16 years old 44 89 47 180 17-18 years old 66 50 29 145 Total 146 160 144 450 Given that someone is 15-16 years old, what is the probability that they will prefer biking? (1 point) Responses 10% 10% 33% 33% 40% 40% 26% 26%

Answer 1

To find the probability that someone who is 15-16 years old prefers biking, we need to determine the number of 15-16 year olds who prefer biking and then divide that by the total number of 15-16 year olds.

From the table:

• The number of 15-16 years old who prefer biking is 47.
• The total number of 15-16 years old is 180.

The probability can be calculated as follows:

\[ \text{Probability} = \frac{\text{Number of 15-16 who prefer biking}}{\text{Total number of 15-16 year olds}} = \frac{47}{180} \]

Calculating this gives us:

\[ \frac{47}{180} \approx 0.2611 \text{ or } 26.11% \]

Therefore, the probability that someone who is 15-16 years old will prefer biking is approximately 26%.

Thus, the correct response is: 26%.