60 siblings’ pairs

This topic has expert replies
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

60 siblings’ pairs

by sanju09 » Sat Feb 21, 2009 2:17 am
A certain junior class has 1,000 students and a certain senior class has 800 students. Among these students, there are 60 siblings’ pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be a sibling pair?

A. 3/40,000
B. 1/3,600
C. 9/2,000
D. 1/60
E. 1/15
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
Source: — Problem Solving |

User avatar
Master | Next Rank: 500 Posts
Posts: 319
Joined: Wed Feb 04, 2009 10:32 am
Location: Delhi
Thanked: 84 times
Followed by:9 members

by sureshbala » Sat Feb 21, 2009 2:42 am
Total number of favorable cases = 1000 x 800

Now in order to have a sibling pair, we have to select the senior student from any one of the 60 pairs available. Once we select the senior, we have to select the junior obviously from the same pair. So the favorable chances will be 60.

Hence required probability = 60/1000x800 = 3/40,000

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

by sanju09 » Sat Feb 21, 2009 3:13 am
sureshbala wrote:Total number of favorable cases = 1000 x 800

Now in order to have a sibling pair, we have to select the senior student from any one of the 60 pairs available. Once we select the senior, we have to select the junior obviously from the same pair. So the favorable chances will be 60.

Hence required probability = 60/1000x800 = 3/40,000
:) balle-balle te shawa-shawa :lol:
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