A special lottery is to be held to select a student who will live in the only deluxe room in a hostel. There are 100 Year- Ill, 150 Year-II, and 200 Year-I students who applied. Each Year-III’s name is placed in the lottery 3 times; each Year-II’s name, 2 times; and each Year-I’s name, 1 time. What is the probability that a Year-III’s name will be chosen?

A

$$\frac{1}{8}$$

B

$$\frac{2}{9}$$

C

$$\frac{2}{7}$$

D

$$\frac{3}{8}$$