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

33%
33%

40%
40%

10%
10%

26%

Answer 1

To calculate the probability that a 15-16 year old prefers biking, we use the formula for conditional probability:

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

From the table:

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

Now we can calculate the probability:

\[ P(Biking | 15-16) = \frac{47}{180} \]

Now, we can convert this fraction to a percentage:

\[ \frac{47}{180} \approx 0.2611 \quad \text{(when calculated)} \]

Multiplying by 100 gives us:

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

Rounding to the nearest whole number, the probability is approximately 26%.

So the correct answer is:

26%