Last visit was: 24 Apr 2026, 04:38 It is currently 24 Apr 2026, 04:38
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
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,811
Own Kudos:
810,940
 [10]
Given Kudos: 105,869
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,811
Kudos: 810,940
 [10]
Jim goes to the track with $150 in his pocket. His favorite horse, Maj 09 Nov 2021, 05:00
Kudos
Add Kudos
10
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

45% (medium)

Question Stats:

74% (02:00) correct 26% (01:55) wrong based on 314 sessions

History

Date
Time
Result
Not Attempted Yet
Jim goes to the track with $150 in his pocket. His favorite horse, Major, is running three races against four other horses. Each competing horse has an equal chance of winning and Jim bets in all three races, $50 per race. What is the probability of Jim leaving the track with money in his pocket?

(A) 1/125

(B) 1/5

(C) 61/125

(D) 64/125

(E) 4/5
ShowHide Answer
Official Answer
C
User avatar
sanjitscorps18
User avatar
Joined: 26 Jan 2019
Last visit: 03 Mar 2026
Posts: 723
Own Kudos:
742
 [3]
Given Kudos: 130
Location: India
Schools: IMD'26
Products:
My Reviews
Schools: IMD'26
Posts: 723
Kudos: 742
 [3]
Jim goes to the track with $150 in his pocket. His favorite horse, Maj 09 Nov 2021, 05:54
2
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
P(Major winning a race) = 1/5
P(Major not winning a race) = 4/5

P(Major wins none of the races) = (4/5)^3 = 64/125
P(Major wins at least one race or Jim leaves the track with money) = 1 - 64/125 = 61/125

IMO Option C
User avatar
Schachfreizeit
User avatar
Joined: 17 Nov 2022
Last visit: 02 Feb 2023
Posts: 110
Own Kudos:
8
Given Kudos: 8
Posts: 110
Kudos: 8
Jim goes to the track with $150 in his pocket. His favorite horse, Maj 22 Dec 2022, 02:44
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Jim goes to the track with $150 in his pocket. His favorite horse, Major, is running three races against four other horses. Each competing horse has an equal chance of winning and Jim bets in all three races, $50 per race. What is the probability of Jim leaving the track with money in his pocket?

(A) 1/125

(B) 1/5

(C) 61/125

(D) 64/125

(E) 4/5
Show more


why is 3*1/5 not correct?
in each race, the probability of winning is 1/5
User avatar
ishwan
User avatar
Joined: 09 Jan 2020
Last visit: 29 May 2024
Posts: 9
Own Kudos:
2
Given Kudos: 137
Posts: 9
Kudos: 2
Jim goes to the track with $150 in his pocket. His favorite horse, Maj 22 Dec 2022, 05:53
Kudos
Add Kudos
Bookmarks
Bookmark this Post
In this question , it is very important to notice the phrase " competing with four other horses " . This means there is a total of 5 horses. So, the probability of Major winning one game is 1/5.
Probability of Jim returning home with money in the pocket is if he wins atleast 1 game . i/e 1 - P [winning none of the race ]

1- [ 4/5 * 4/5* 4/5] = 61 / 125

Ans : Option C : 61/125
User avatar
canadianmonkey3
User avatar
Joined: 28 Jun 2023
Last visit: 22 Apr 2026
Posts: 12
Own Kudos:
1
Given Kudos: 74
Location: Canada
Schools: Anderson '26 (D) Duke '26 (A$) Johnson '26 (WL) Jones '26 (A$$) Kelley '26 (A$$) UNC '26 (WL) McDonough  '26 (WL) Mashall '26 (A$$) Tepper '26 (WA$$)
GMAT Focus 1: 645 Q86 V84 DI74
GMAT Focus 2: 655 Q84 V82 DI82
GMAT 1: 530 Q35 V27
GPA: 2.7
Products:
My Reviews
Schools: Anderson '26 (D) Duke '26 (A$) Johnson '26 (WL) Jones '26 (A$$) Kelley '26 (A$$) UNC '26 (WL) McDonough  '26 (WL) Mashall '26 (A$$) Tepper '26 (WA$$)
GMAT Focus 2: 655 Q84 V82 DI82
GMAT 1: 530 Q35 V27
Posts: 12
Kudos: 1
Jim goes to the track with $150 in his pocket. His favorite horse, Maj 21 Jul 2025, 16:36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Correct me if my approach is incorrect but I believe the reason why it is not 3 * 1/5 is because the question asks for "leave the track with money in his pocket" which means that he can either win money from one race, two races, or three races; however, we have no way of knowing which race he will win money from nor will we know how many races he will win in total.

Therefore, we should find out the probability of Jim not winning any races at all. The odds of that will be: 4/5 * 4/5 * 4/5 which is 64/125. If we do 1 - 64/125, this will give us the probability of him winning something out of the three races (including the odds where he wins a single race, two races, or three races - which will all result in him pocketing money.

Bunuel please let me know if I missed anything in my explanation. Thank you.
Schachfreizeit
Bunuel
Jim goes to the track with $150 in his pocket. His favorite horse, Major, is running three races against four other horses. Each competing horse has an equal chance of winning and Jim bets in all three races, $50 per race. What is the probability of Jim leaving the track with money in his pocket?

(A) 1/125

(B) 1/5

(C) 61/125

(D) 64/125

(E) 4/5


why is 3*1/5 not correct?
in each race, the probability of winning is 1/5
Show more
Moderators:
Bunuel
Math Expert
109809 posts
Krunaal
Tuck School Moderator
853 posts