To find the probability that a randomly chosen student is at Devar college given that they prefer soccer, we use conditional probability.

The formula for conditional probability is:

\(P(D|S) = \frac{P(D \cap S)}{P(S)}\)

Where:

• \(P(D|S)\) is the probability that a student is at Devar college given they prefer soccer.
• \(P(D \cap S)\) is the probability that a student is both at Devar college and prefers soccer.
• \(P(S)\) is the probability that a student prefers soccer.

From the table, the number of students who are at Devar college and prefer soccer is 120.

The total number of students who prefer soccer is 280.

Thus, \(P(D|S) = \frac{120}{280}\).

Simplifying \(\frac{120}{280}\) gives \(\frac{3}{7}\).

Therefore, the probability is \(\frac{3}{7}\).