Question

a survey is conducted to study the favorite sport of individuals in different age groups. the two-way table is given below:

\

$$\begin{tabular}{|c|c|c|c|} \\hline & football & basketball & baseball \\\\ \\hline 8 - 12 yrs & 23 & 13 & 7 \\\\ \\hline 13 - 17 yrs & 19 & 11 & 12 \\\\ \\hline 18 - 22 yrs & 26 & 8 & 9 \\\\ \\hline \\end{tabular}$$

what is the probability that a randomly selected person from this surveys favorite sport is baseball, given they are 13 to 17 years old?

\\(p(\text{baseball} \mid 13 - 17 \text{ yrs}) = ?\\%\\)

round your answer to the nearest whole percent.

Explanation:

Identify the given condition and target group

$$ \text{Condition: } 13 - 17\text{ yrs} $$

Calculate the total number of individuals in the target group

$$ \text{Total } (13 - 17\text{ yrs}) = 19 + 11 + 12 = 42 $$

Calculate the conditional probability

$$ P(\text{Baseball} \mid 13 - 17\text{ yrs}) = \frac{12}{42} \approx 0.2857 \approx 29\% $$

Answer:

What is the probability that a randomly selected person from this survey's favorite sport is baseball, given they are 13 to 17 years old?

\(P(\text{Baseball} \mid 13 - 17\text{ yrs}) =\) <blank>29</blank>%

Round your answer to the nearest whole percent.