random from the set

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

random from the set

by sanju09 » Fri Jul 23, 2010 3:01 am
n is an integer chosen at random from the set

{5, 7, 9, 11}

p is an integer chosen at random from the set

{2, 6, 10, 14, 18}

What is the probability that n + p = 23?
A. 0.1
B. 0.2
C. 0.25
D. 0.3
E. 0.4

[spoiler]Source: majortests.com[/spoiler]
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
Legendary Member
Posts: 1460
Joined: Tue Dec 29, 2009 1:28 am
Thanked: 135 times
Followed by:7 members

by selango » Fri Jul 23, 2010 3:04 am
n+p=23

5+18=23

9+14=23

1/4*1/5=1/20

1/20+1/20=1/10=0.1

Pick A
Last edited by selango on Fri Jul 23, 2010 9:33 am, edited 1 time in total.
--Anand--

User avatar
Legendary Member
Posts: 1893
Joined: Sun May 30, 2010 11:48 pm
Thanked: 215 times
Followed by:7 members

by kvcpk » Fri Jul 23, 2010 3:22 am
n is an integer chosen at random from the set

{5, 7, 9, 11}

p is an integer chosen at random from the set

{2, 6, 10, 14, 18}

n+p should be 23.
5+18 makes 23.
Probability is
1/4 * 1/5 = 1/20

9+14 makes 23
probability is
1/4*1/5 = 1/20

One of these should happen. Hence 1/20 +1/20 = 1/10 =0.1