Last visit was: 26 Apr 2026, 14:08 It is currently 26 Apr 2026, 14:08
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
805+ (Hard)|   Probability|      
User avatar
cat2010
User avatar
Joined: 26 Nov 2022
Last visit: 18 Mar 2023
Posts: 106
Own Kudos:
163
 [13]
Given Kudos: 12
Location: India
Schools: Foster '25 Northeastern Ross '25 UT Dallas
GMAT 1: 700 Q46 V40
GPA: 3.8
Schools: Foster '25 Northeastern Ross '25 UT Dallas
GMAT 1: 700 Q46 V40
Posts: 106
Kudos: 163
 [13]
Some balls are placed in a large box; the balls include one ball marke Updated on: 03 Jun 2025, 12:12
Originally posted by cat2010 on 09 Dec 2022, 04:28.
Last edited by Bunuel on 03 Jun 2025, 12:12, edited 2 times in total.
2
Kudos
Add Kudos
10
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

95% (hard)

Question Stats:

39% (02:40) correct 61% (02:35) wrong based on 94 sessions

History

Date
Time
Result
Not Attempted Yet
Some balls are placed in a large box; the balls include one ball marked "A", two balls marked "B", and so forth up to twenty-six balls marked "Z". A ball is drawn at random. Given a particular letter of the alphabet, does the probability that that ball will be marked with that letter exceed \(\frac{1}{30}\) ?

(1) The letter appears in the word "lousy".
(2) The letter appears in the word "skunk".
ShowHide Answer
Official Answer
A
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 26 Apr 2026
Posts: 11,229
Own Kudos:
45,024
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 45,024
Some balls are placed in a large box; the balls include one ball marke 09 Dec 2022, 07:41
Kudos
Add Kudos
Bookmarks
Bookmark this Post
cat2010
Some balls are placed in a large box; the balls include one ball marked "A", two balls marked "B", and so forth up to twenty-six balls marked "Z". A ball is drawn at random.

Given a particular letter of the alphabet, does the probability that that ball will be marked with that letter exceed 130 ?

Statement 1: The letter appears in the word "lousy".

Statement 2: The letter appears in the word "skunk".
Show more


Probability cannot be 130.
Kindly check, it should be 1/30 or something similar.
User avatar
cat2010
User avatar
Joined: 26 Nov 2022
Last visit: 18 Mar 2023
Posts: 106
Own Kudos:
163
Given Kudos: 12
Location: India
Schools: Foster '25 Northeastern Ross '25 UT Dallas
GMAT 1: 700 Q46 V40
GPA: 3.8
Schools: Foster '25 Northeastern Ross '25 UT Dallas
GMAT 1: 700 Q46 V40
Posts: 106
Kudos: 163
Some balls are placed in a large box; the balls include one ball marke 09 Dec 2022, 08:27
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chetan2u
cat2010
Some balls are placed in a large box; the balls include one ball marked "A", two balls marked "B", and so forth up to twenty-six balls marked "Z". A ball is drawn at random.

Given a particular letter of the alphabet, does the probability that that ball will be marked with that letter exceed 130 ?

Statement 1: The letter appears in the word "lousy".

Statement 2: The letter appears in the word "skunk".


Probability cannot be 130.
Kindly check, it should be 1/30 or something similar.
Show more

by mistake it happened, Corrected now
User avatar
aryamanpanda
User avatar
Joined: 12 Jul 2020
Last visit: 14 Jan 2026
Posts: 14
Own Kudos:
39
 [1]
Given Kudos: 5
Posts: 14
Kudos: 39
 [1]
Some balls are placed in a large box; the balls include one ball marke 09 Dec 2022, 21:05
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Well ok Here goes nothing

the balls are marked in the following fashion: 1 - A ; 2 - B ; 3 - C ; ... so total number of balls that are there in the bag are 351 ( sum of AP from 1,2,3....,26 )

we need to exceed 1/30 as a probability ( say 0.033 for decimal crunchers )

ST 1 : l o u s y

here L is the least numbered one and Y is the most numbered one. If L lies in the constraints then all other letters lie as well. so lets se for L
there are 12 balls for L ( 12th letter )

so probability = 12/351 = 0.341. we can see that it exceeds 0.33, and all other letters will exceed as well, as the numerator increases.

sufficient

ST 2 : s k u n ( K comes twice but only one balled picked out, no need to count twice )

lowest value is K - 11th letter

prob = 11/351 = 0.31 which is lower than 0.33.

for S the 19/351 > 0.33 . since we cannot get a definite answer, insufficient.

Hence Answer = A
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,990
Own Kudos:
1,118
Posts: 38,990
Kudos: 1,118
Some balls are placed in a large box; the balls include one ball marke 03 Jun 2025, 11:57
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109888 posts
kingbucky
498 posts
Gmat860sanskar
212 posts