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 0408:30 AM PDT
-09:30 AM PDT
For most test takers, Data Insights is the most challenging section on the GMAT, with test takers scoring several points lower on average on DI than on Quant or Verbal and completing the section with less time to spare.
May 2910:00 AM IST
-11:00 PM IST
Start your journey with a fully customized action plan and work with a dedicated mentor to achieve a 735+ score.- Jun 03
08:30 AM PDT
-09:30 AM PDT
In Episode 7 of our GMAT Ninja CR series, we are rounding up the oddballs, the misfits, and the format-benders: EXCEPT, Fill-In-The-Blanks, and other unusual Critical Reasoning question types. When you see a question that ends with a literal blank line - Jun 10
06:00 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..
12 Jan 2026, 07:47
Kudos
Bookmarks
A pair of fair six-sided dice is rolled once. If at least one die shows a prime number, what is the probability that both dice show prime numbers?
A. \(\frac{1}{4}\)
B. \(\frac{1}{3}\)
C. \(\frac{1}{2}\)
D. \(\frac{2}{3}\)
E. \(\frac{3}{4}\)
A. \(\frac{1}{4}\)
B. \(\frac{1}{3}\)
C. \(\frac{1}{2}\)
D. \(\frac{2}{3}\)
E. \(\frac{3}{4}\)
12 Jan 2026, 07:47
Kudos
Bookmarks
Official Solution:
A pair of fair six-sided dice is rolled once. If at least one die shows a prime number, what is the probability that both dice show prime numbers?
A. \(\frac{1}{4}\)
B. \(\frac{1}{3}\)
C. \(\frac{1}{2}\)
D. \(\frac{2}{3}\)
E. \(\frac{3}{4}\)
Prime faces: 2, 3, 5
Non-prime faces: 1, 4, 6
Total number of outcomes = 6 * 6 = 36.
We want only the outcomes in which at least one die shows a prime. The only outcomes that do not satisfy this are those where both dice are non-prime. Each die has 3 non-prime faces, so the number of outcomes with no prime at all is 3 * 3 = 9.
So the number of outcomes with at least one prime is 36 - 9 = 27.
The number of outcomes where both dice show primes is 3 * 3 = 9, since each die has 3 prime faces.
We are told that at least one die shows a prime, so we look only at those 27 outcomes. Among these, 9 have both dice prime, so the required probability is 9/27 = 1/3.
Answer: B
A pair of fair six-sided dice is rolled once. If at least one die shows a prime number, what is the probability that both dice show prime numbers?
A. \(\frac{1}{4}\)
B. \(\frac{1}{3}\)
C. \(\frac{1}{2}\)
D. \(\frac{2}{3}\)
E. \(\frac{3}{4}\)
Prime faces: 2, 3, 5
Non-prime faces: 1, 4, 6
Total number of outcomes = 6 * 6 = 36.
We want only the outcomes in which at least one die shows a prime. The only outcomes that do not satisfy this are those where both dice are non-prime. Each die has 3 non-prime faces, so the number of outcomes with no prime at all is 3 * 3 = 9.
So the number of outcomes with at least one prime is 36 - 9 = 27.
The number of outcomes where both dice show primes is 3 * 3 = 9, since each die has 3 prime faces.
We are told that at least one die shows a prime, so we look only at those 27 outcomes. Among these, 9 have both dice prime, so the required probability is 9/27 = 1/3.
Answer: B
