To find the probability that someone who prefers soccer is in the 26–35 years old age group, we can use the formula for conditional probability:
\[ P(A | B) = \frac{P(A \cap B)}{P(B)} \]
where:
- \(A\) is the event that a person is in the 26–35 years old age group.
- \(B\) is the event that a person prefers soccer.
From the table, we see the following information:
Number of people who prefer soccer:
- Total people who prefer soccer: \(53\)
Number of people in the 26–35 years old age group who prefer soccer:
- People aged 26–35 who prefer soccer: \(6\)
Now we can calculate the probability:
\[ P(\text{26–35 years old} | \text{prefers soccer}) = \frac{\text{Number of people aged 26–35 who prefer soccer}}{\text{Total number of people who prefer soccer}} = \frac{6}{53} \]
Next, we need to convert this probability into a percentage:
\[ \frac{6}{53} \approx 0.1132 \]
Converting this to a percentage:
\[ 0.1132 \times 100 \approx 11.32% \]
Finally, rounding to the nearest whole number gives us:
\[ \boxed{11%} \]