Last visit was: 14 Dec 2024, 21:40 It is currently 14 Dec 2024, 21:40
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 14 Dec 2024
Posts: 97,877
Own Kudos:
685,928
 []
Given Kudos: 88,271
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,877
Kudos: 685,928
 []
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
Archit3110
User avatar
GMAT Club Legend
Joined: 18 Aug 2017
Last visit: 14 Dec 2024
Posts: 8,119
Own Kudos:
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy)
GMAT Focus 1: 545 Q79 V79 DI73
Posts: 8,119
Kudos: 4,499
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
Aderonke01
Joined: 21 Feb 2019
Last visit: 26 Jun 2021
Posts: 41
Own Kudos:
Given Kudos: 376
Location: United States
GPA: 3.63
Posts: 41
Kudos: 14
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
EgmatQuantExpert
User avatar
e-GMAT Representative
Joined: 04 Jan 2015
Last visit: 02 Apr 2024
Posts: 3,696
Own Kudos:
Given Kudos: 165
Expert reply
Posts: 3,696
Kudos: 18,310
Kudos
Add Kudos
Bookmarks
Bookmark this Post

Solution


Given:
    • The smaller square has sides of length 2, and
    • The larger square has sides of length 4

To find:
    • If a point is chosen at random from the large square, what is the probability that it will be from the small square

Approach and Working Out:
    • Required probability = area of smaller square/area of larger square = \(\frac{4}{16} = \frac{1}{4}\)

Answer: C

User avatar
QuantMadeEasy
Joined: 28 Feb 2014
Last visit: 14 Dec 2024
Posts: 502
Own Kudos:
Given Kudos: 75
Location: India
Concentration: General Management, International Business
GPA: 3.97
WE:Engineering (Education)
Posts: 502
Kudos: 661
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Area of small square - 4
Area of large square - 16

Probability = 4/16 = 1/4
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 13 Dec 2024
Posts: 19,869
Own Kudos:
Given Kudos: 288
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 19,869
Kudos: 24,296
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In the figure to the right, the smaller square has sides of length 2 and the larger square has sides of length 4. If a point is chosen at random from the large square, what is the probability that it will be from the small square?

A. 3/4
B. 1/2
C. 1/4
D. 1/8
E. 1/16

Attachment:
2019-07-25_1217.png

P(selecting a point within the smaller square) = area of the smaller square/area of the larger square = 4/16 = 1/4.

Answer: C
User avatar
philipssonicare
Joined: 15 Feb 2018
Last visit: 22 Nov 2022
Posts: 422
Own Kudos:
Given Kudos: 2,380
Posts: 422
Kudos: 403
Kudos
Add Kudos
Bookmarks
Bookmark this Post
\(2^2/4^2=2^2/2^4=1/2^2=1/4\)
Moderator:
Math Expert
97877 posts