How to solve this Q?

This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 69
Joined: Wed Aug 08, 2012 9:00 am
Followed by:1 members

How to solve this Q?

by sanaa.rizwan » Mon Apr 08, 2013 4:35 pm
NP: OG PS 68

A={2,3,4,5}
B={4,5,6,7,8}

Two integers will be randomly selected from the sets above. One from A and one from B. what is the probability that the sum of the two integers will equal 9

A. 0.15
B. 0.20
C. 0.25
D. 0.30
E. 0.33
Source: — Problem Solving |

User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Mon Apr 08, 2013 4:46 pm
sanaa.rizwan wrote:NP: OG PS 68

A={2,3,4,5}
B={4,5,6,7,8}

Two integers will be randomly selected from the sets above. One from A and one from B. what is the probability that the sum of the two integers will equal 9

A. 0.15
B. 0.20
C. 0.25
D. 0.30
E. 0.33
P = (good outcomes)/(total possible outcomes).

Total possible outcomes:
Number of options from set A = 4.
Number of options from set B = 5.
To combine these options, we multiply:
4*5 = 20.

Good outcomes:
A good outcome occurs when A+B = 9:
A=2 and B=7.
A=3 and B=6.
A=4 and B=5.
A=5 and B=4.
Total options = 4.

(Good options)/(total possible options) = 4/20 = .2.

The correct answer is B.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3