To determine the probability that a randomly chosen student is a male who is involved in extra-curricular activities, we need to follow these steps:
1. Identify the number of male students involved in extra-curricular activities: According to the table, this number is [tex]\(112\)[/tex].
2. Identify the total number of students: The table shows that there are [tex]\(516\)[/tex] students in total (sum of all students in the table).
3. Calculate the probability: Probability is found by dividing the number of favorable outcomes (male students involved in activities) by the total number of possible outcomes (total students).
[tex]\[
\text{Probability} = \frac{\text{Number of male students involved in activities}}{\text{Total number of students}} = \frac{112}{516}
\][/tex]
4. Express the probability as a decimal: Dividing 112 by 516 gives approximately [tex]\(0.217\)[/tex].
Therefore, the probability that a randomly chosen student is a male who is involved in extra-curricular activities is approximately [tex]\(0.217\)[/tex].
