Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Jun 1006:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
Jun 1111:00 AM EDT
-01:00 PM EDT
TTP GMAT OnDemand gives serious students 400+ hours of expert video instruction, the full TTP course, AI support, weekly office hours, and a 715+ score guarantee—all built for elite GMAT score improvement.
Jun 2207:30 PM EDT
-09:30 PM EDT
Master the GMAT with expert live instruction, a personalized study plan, and real-time support. Includes 40 hours of online classes plus 6 months of access to the TTP GMAT OnDemand video course. Class date: Mon/Wed June 22, 2026 →August 26, 2026
05 Dec 2018, 02:09
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
57% (02:14) correct
43%
(02:22)
wrong
based on 150
sessions
History
Date
Time
Result
Not Attempted Yet
[Math Revolution GMAT math practice question]
A triangle is formed by connecting three randomly chosen vertices of a hexagon. What is the probability that at least one of the sides of the triangle is also a side of the hexagon?
\(A. \frac{4}{5}\)
\(B. \frac{5}{6}\)
\(C. \frac{7}{8}\)
\(D. \frac{8}{9}\)
\(E. \frac{9}{10}\)
A triangle is formed by connecting three randomly chosen vertices of a hexagon. What is the probability that at least one of the sides of the triangle is also a side of the hexagon?
\(A. \frac{4}{5}\)
\(B. \frac{5}{6}\)
\(C. \frac{7}{8}\)
\(D. \frac{8}{9}\)
\(E. \frac{9}{10}\)
05 Dec 2018, 03:42
Kudos
Bookmarks
MathRevolution
total possible triangles =6C3=20
Total triangles in which no side is side of hexagon=2(please see attached figure)
so no.of triangles in which atleast one side is side of hexagon=20-2=18
Hence,probability=18/20=9/10
hence E.
Attachments
IMG_20181205_161013886.jpg [ 1.78 MiB | Viewed 3463 times ]
07 Dec 2018, 01:00
Kudos
Bookmarks
=>
Since the hexagon has \(6\) vertices, and we need to choose \(3\) of them to form the vertices of the triangle, the total number of triangles that can be formed is \(6C3 = 20\).
Note that only the following \(2\) triangles do not include an edge of the hexagon:
12.7.png [ 5.52 KiB | Viewed 3341 times ]
Therefore, the number of the triangles satisfying the original condition is \(18 = 20 – 2.\)
Thus, the probability that the triangle will include an edge of the hexagon is \(\frac{18}{20} = \frac{9}{10}.\)
Therefore, the answer is E.
Answer: E
Since the hexagon has \(6\) vertices, and we need to choose \(3\) of them to form the vertices of the triangle, the total number of triangles that can be formed is \(6C3 = 20\).
Note that only the following \(2\) triangles do not include an edge of the hexagon:
Attachment:
12.7.png [ 5.52 KiB | Viewed 3341 times ]
Therefore, the number of the triangles satisfying the original condition is \(18 = 20 – 2.\)
Thus, the probability that the triangle will include an edge of the hexagon is \(\frac{18}{20} = \frac{9}{10}.\)
Therefore, the answer is E.
Answer: E
