To find the probability that someone who prefers soccer is in the age group of 26–35 years old, we first need to determine the total number of people who prefer soccer and how many of those are in the 26–35 age group.
From the table:
- Total number of people who prefer soccer: 53
- Number of people aged 26–35 years old who prefer soccer: 6
The probability \( P \) that someone who prefers soccer is in the age group 26–35 years old can be calculated using the formula:
\[ P(\text{26–35 | soccer}) = \frac{\text{Number of people aged 26–35 who prefer soccer}}{\text{Total number of people who prefer soccer}} \]
Substituting the values:
\[ P(\text{26–35 | soccer}) = \frac{6}{53} \]
To express this as a percentage, we multiply by 100:
\[ P(\text{26–35 | soccer}) \times 100 = \frac{6}{53} \times 100 \]
Calculating this gives:
\[ P(\text{26–35 | soccer}) \times 100 \approx 11.32 \]
Rounding to the nearest whole number, the probability is approximately 11%.
Therefore, the answer is:
11%