**Step 1 — Total number of outcomes.**
$$n(S) = 25$$

**Step 2 — List the numbers that are NOT composite.**
- $1$ is neither prime nor composite → 1 number
- Primes up to 25 : $2, 3, 5, 7, 11, 13, 17, 19, 23$ → 9 numbers

**Step 3 — Count the composite numbers.**
$$n(E) = 25 - 9 - 1 = 15$$
(These are $4,6,8,9,10,12,14,15,16,18,20,21,22,24,25$.)

**Step 4 — Apply the probability formula.**
$$P(\text{composite}) = \frac{n(E)}{n(S)} = \frac{15}{25}$$

**Answer : (A) $\dfrac{15}{25}$**