A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 100 seniors, 150 juniors, and 200 sophomores who applied. Each senior's name is placed in the lottery 3 times; each junior's name, 2 times; and each sophomore's name, 1 time. What is the probability that a senior's name will be chosen?
(A) 1/8
(B) 2/9
(C) 2/7
(D) 3/8
(E) ½
the only deluxe room
This topic has expert replies
- sanju09
- GMAT Instructor
- Posts: 3650
- Joined: Wed Jan 21, 2009 4:27 am
- Location: India
- Thanked: 267 times
- Followed by:80 members
- GMAT Score:760
The mind is everything. What you think you become. -Lord Buddha
Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com
Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com
GMAT/MBA Expert
- Rahul@gurome
- GMAT Instructor
- Posts: 1179
- Joined: Sun Apr 11, 2010 9:07 pm
- Location: Milpitas, CA
- Thanked: 447 times
- Followed by:88 members
Each senior's name is placed 3 times and there are 100 seniors, so there are 300 senior's names placed in the lottery.
Each junior's name is placed 2 times and there are 150 juniors, so there are 300 junior's names placed in the lottery.
Each sophomore's name is placed 1 time and there are 200 sophomores, so there are 200 sophomore's names placed in the lottery.
Total number of names = 300 + 300 + 200 = 800
So, the probability that a senior's name will be chosen = 300/ 800 = 3/8
The correct answer is (D).
Each junior's name is placed 2 times and there are 150 juniors, so there are 300 junior's names placed in the lottery.
Each sophomore's name is placed 1 time and there are 200 sophomores, so there are 200 sophomore's names placed in the lottery.
Total number of names = 300 + 300 + 200 = 800
So, the probability that a senior's name will be chosen = 300/ 800 = 3/8
The correct answer is (D).
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
- kmittal82
- Master | Next Rank: 500 Posts
- Posts: 324
- Joined: Mon Jul 05, 2010 6:44 am
- Location: London
- Thanked: 70 times
- Followed by:3 members
Since each senior's name is placed in the lottery 3 times, the total number of senior names in the lottery = 100x3 = 300
Likewise, there will be 300 (150x2) Junior's names and 200 (200x1) sophomore names.
Thus, total number of names = 300+300+200 = 800
Total number of seniors names = 300
Probability of picking a senior's name = 300/800 = 3/8, so it should be (D)
Likewise, there will be 300 (150x2) Junior's names and 200 (200x1) sophomore names.
Thus, total number of names = 300+300+200 = 800
Total number of seniors names = 300
Probability of picking a senior's name = 300/800 = 3/8, so it should be (D)