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

40%
40%

10%
10%

26%
26%

33%
33%

1 answer

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

From the table:

  • Number of 15-16 year olds who prefer biking: 47
  • Total number of 15-16 year olds: 180

The probability \( P \) that a randomly selected 15-16 year old prefers biking can be calculated as follows:

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

Now, let's calculate this value:

\[ P(\text{biking | 15-16}) \approx 0.2611 \]

To convert this probability into a percentage:

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

Rounding this value gives us approximately 26%.

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

The correct response is:

26%