|
|
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.
29 Dec 2020, 10:13
Kudos
Bookmarks
D
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:
66% (02:01) correct
34%
(01:59)
wrong
based on 171
sessions
History
Date
Time
Result
Not Attempted Yet
If a dice is thrown thrice, what is the probability of getting a sum greater than 4?
(A) 1/216
(B) 1/54
(C) 51/54
(D) 53/54
(E) 215/216
(A) 1/216
(B) 1/54
(C) 51/54
(D) 53/54
(E) 215/216
yashikaaggarwal
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Last visit: 29 Mar 2026
Posts: 3,088
Given Kudos: 1,510
Location: India
Schools: Cranfield (A) Warwick MiM "23 (M)
GPA: 4
WE:Analyst (Internet and New Media)
29 Dec 2020, 11:01
Kudos
Bookmarks
The probability of getting number 1-6 when thrown thrice = 6^3 = 216
The probability of getting sum smaller than or equal to 4 = 4
(1,1,1) (2,1,1) (1,2,1) (1,1,2)
So the probability of getting sum greater than 4 = 216-4/216
=> 212/216
=> 53/54
Answer is D
Posted from my mobile device
The probability of getting sum smaller than or equal to 4 = 4
(1,1,1) (2,1,1) (1,2,1) (1,1,2)
So the probability of getting sum greater than 4 = 216-4/216
=> 212/216
=> 53/54
Answer is D
Posted from my mobile device
30 Dec 2020, 15:14
Kudos
Bookmarks
Solution
Given
In this question, we are given that
- • A dice is thrown thrice
To find
We need to determine
- • The probability of getting a sum greater than 4
Approach and Working out
The dice is thrown thrice, hence, there will be three outcomes in total
- • P (sum greater than 4) = 1 – P (sum equal to 4) – P (sum less than 4)
We can get the sum equal to 4 when one outcome is 2 and the other two outcomes are 1 each
- • Number of ways we can get the sum equal to 4 = 3!/2! = 3
- • Number of ways we can get the sum less than 4 = 3!/3! = 1
Also, total possible number of outcomes, when the dice is thrown thrice = 6 * 6 * 6 = 216
- • Hence, P (sum greater than 4) = 1 – 3/216 – 1/216 = 212/216 = 53/54
Thus, option D is the correct answer.
Correct Answer: Option D
