A student from the community college is selected at random. Find the probability that the student is betweer 26 and 35 inclusive. Round approximations to three decimat places. \begin{tabular}{|l|c|} \hline Age (years) & \begin{tabular}{l} Number of \\ students \end{tabular} \\ \hline Under 21 & 420 \\ \hline $21-25$ & 400 \\ \hline $26-30$ & 219 \\ \hline $31-35$ & 56 \\ \hline Over 35 & 24 \\ \hline Total & 1,119 \\ \hline \end{tabular} A. 0.05 B. 275 C. 0.196 D. 0.246

Step 1 ：Given the number of students in each age group as follows:

Step 2 ：Under 21 years: 420 students

Step 3 ：21-25 years: 400 students

Step 4 ：26-30 years: 219 students

Step 5 ：31-35 years: 56 students

Step 6 ：Over 35 years: 24 students

Step 7 ：The total number of students is 1,119.

Step 8 ：We are asked to find the probability that a randomly selected student is between 26 and 35 years old. This includes the age groups 26-30 and 31-35.

Step 9 ：The total number of students between 26 and 35 years old is the sum of the students in the age groups 26-30 and 31-35, which is \(219 + 56 = 275\).

Step 10 ：The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes. In this case, the event is a student being between 26 and 35 years old, and the total number of outcomes is the total number of students.

Step 11 ：So, the probability is calculated as \( \frac{275}{1119} \approx 0.246 \)

Step 12 ：Final Answer: The probability that a randomly selected student is between 26 and 35 years old is approximately \(\boxed{0.246}\).