Use the table to answer the question.

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

26%
26%

40%
40%

10%
10%

33%

Answer 1

To find the probability that a 15-16-year-old prefers biking, we need to use the data provided in the table.

1. Determine the total number of 15-16-year-olds. According to the table, the total for the 15-16 age group is:

• Total (15-16 years old) = 180

2. Determine the number of 15-16-year-olds who prefer biking. From the table, we see that:

• Biking (15-16 years old) = 47

3. Now, calculate the probability that a 15-16-year-old prefers biking:

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

4. To express the probability as a percentage, we can calculate:

\[ \text{Probability} \approx \frac{47}{180} \approx 0.2611 \]

Converting this to a percentage:

\[ 0.2611 \times 100 \approx 26.11% \]

Rounding it gives us approximately 26%.

Thus, the probability that a 15-16-year-old prefers biking is 26%.

The correct response is 26%.