BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

in the only deluxe room

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

in the only deluxe room

by sanju09 » Wed Jul 11, 2012 2:46 am
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


Source: collegeboard.org
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
Top
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 210
Joined: Thu Mar 08, 2012 11:24 pm
Thanked: 62 times
Followed by:3 members

by niketdoshi123 » Wed Jul 11, 2012 3:41 am
sanju09 wrote: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


Source: collegeboard.org
Total seniors = 100
Each senior's name in the lottery = 3 times
Total seniors' name in the lottery (Se) = 300
Similarly,
Total juniors' name in the lottery (J)= 150*2 = 300
and total sophomores' name in the lottery (So)= 200

P(Se) = Se/(Se+J+So) = 300/(300+300+200) = 3/8.
Top
User avatar
Legendary Member
Posts: 1665
Joined: Thu Nov 03, 2011 7:04 pm
Thanked: 165 times
Followed by:70 members

by karthikpandian19 » Wed Jul 11, 2012 8:47 pm
No of times - Senior = 100*3 times = 300
No of times - Junior = 150*2 times = 300
No of times - Sophomore = 200*1 times= 200

Total - 300 + 300 + 200 = 800 is the total times

probability of chance of a senior = Senior times / total = 300/800 = 3/8

Answer: 3/8 (D)
sanju09 wrote: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


Source: collegeboard.org
Regards,
Karthik
The source of the questions that i post from JUNE 2013 is from KNEWTON

---If you find my post useful, click "Thank" :) :)---
---Never stop until cracking GMAT---
Top
Post new topic Post Reply
• Page 1 of 1