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-III, 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 Year-I's name, 1 time. What is the probability that a Year-III's name will be chosen?  Select:
A) 1/8  B) 2/9  C) 2/7  D) 3/8  E) 3/9
Explanation :   Total names in the lottery,   =3×100+2×150+200   =800.   Number of Year-III's names,   =3×100   =300.   The required probability,   =300/800.   =3/8.   Answer : 3/8
<result>D</result>
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-III, 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 Year-I's name, 1 time. What is the probability that a Year-III's name will be chosen?