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%

33%
33%

10%
10%

40%

Answer 1

To find the probability that someone aged 15-16 years old prefers biking, we need to look at the number of 15-16 year olds who prefer biking and the total number of 15-16 year olds.

From the table:

• Number of 15-16 years old who prefer biking = 47
• Total number of 15-16 years old = 180

Now we can calculate the probability:

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

Calculating this gives:

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

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

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

Rounding this gives approximately 26%.

Thus, the probability that someone aged 15-16 years old prefers biking is 26%.

Answer: 26%