Last visit was: 23 Jul 2024, 10:57 It is currently 23 Jul 2024, 10:57
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.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Date
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94592
Own Kudos [?]: 643314 [0]
Given Kudos: 86728
Send PM
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8010
Own Kudos [?]: 4251 [0]
Given Kudos: 243
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
Director
Director
Joined: 09 Mar 2018
Posts: 776
Own Kudos [?]: 458 [1]
Given Kudos: 123
Location: India
Send PM
Intern
Intern
Joined: 26 Dec 2018
Posts: 20
Own Kudos [?]: 6 [0]
Given Kudos: 44
Concentration: Finance, Economics
Send PM
Re: A fair, six-sided die is to be rolled 3 times. What is the probability [#permalink]
Bunuel wrote:
A fair, six-sided die is to be rolled 3 times. What is the probability that the die will land on a prime number each time?

A 0.125
B 0.25
C 0.5
D 0.75
E 0.9



I concluded that the answer was A because there are 3 prime numbers on a 6-sided die (2,3,5), which makes the probability of rolling a prime number 1/2. The probability of rolling a prime numbers on 3 consecutive rolls is 1/2*1/2*1/2=1/8 or .125.

However, I was a bit skeptical of my answer due to the wording "will land on a prime number each time?" The phrase "each time" lead me to believe the question may be asking for the individual probability of each roll, which would lead the reader to conclude the answer to be C. Can anyone provide further clarity?
Director
Director
Joined: 09 Mar 2018
Posts: 776
Own Kudos [?]: 458 [0]
Given Kudos: 123
Location: India
Send PM
Re: A fair, six-sided die is to be rolled 3 times. What is the probability [#permalink]
nch2024 wrote:
Bunuel wrote:
A fair, six-sided die is to be rolled 3 times. What is the probability that the die will land on a prime number each time?

A 0.125
B 0.25
C 0.5
D 0.75
E 0.9



I concluded that the answer was A because there are 3 prime numbers on a 6-sided die (2,3,5), which makes the probability of rolling a prime number 1/2. The probability of rolling a prime numbers on 3 consecutive rolls is 1/2*1/2*1/2=1/8 or .125.

However, I was a bit skeptical of my answer due to the wording "will land on a prime number each time?" The phrase "each time" lead me to believe the question may be asking for the individual probability of each roll, which would lead the reader to conclude the answer to be C. Can anyone provide further clarity?


IMO, in the question it has mentioned the player will throw the die 3 times, automatically the sample space from 6 became 216.

If it would have not mentioned 3 times, then we could have concluded the answer as 1/2 which is 3/6( 3 prime numbers out of 6 total numbers)

Let me know if this helps in some way.
Intern
Intern
Joined: 26 Dec 2018
Posts: 20
Own Kudos [?]: 6 [0]
Given Kudos: 44
Concentration: Finance, Economics
Send PM
Re: A fair, six-sided die is to be rolled 3 times. What is the probability [#permalink]
nch2024 wrote:
Bunuel wrote:
A fair, six-sided die is to be rolled 3 times. What is the probability that the die will land on a prime number each time?

A 0.125
B 0.25
C 0.5
D 0.75
E 0.9



I concluded that the answer was A because there are 3 prime numbers on a 6-sided die (2,3,5), which makes the probability of rolling a prime number 1/2. The probability of rolling a prime numbers on 3 consecutive rolls is 1/2*1/2*1/2=1/8 or .125.

However, I was a bit skeptical of my answer due to the wording "will land on a prime number each time?" The phrase "each time" lead me to believe the question may be asking for the individual probability of each roll, which would lead the reader to conclude the answer to be C. Can anyone provide further clarity?


IMO, in the question it has mentioned the player will throw the die 3 times, automatically the sample space from 6 became 216.

If it would have not mentioned 3 times, then we could have concluded the answer as 1/2 which is 3/6( 3 prime numbers out of 6 total numbers)

Let me know if this helps in some way.[/quote]

Yes, that helps! As you mentioned, I believe the mention of 3 dice rolls allows us to conclude that we are searching for the probability of prime number on EACH OF THE 3 ROLLS.
Intern
Intern
Joined: 05 Jun 2020
Status:Preparing for Gmat Exam
Posts: 15
Own Kudos [?]: 7 [0]
Given Kudos: 170
Location: India
Concentration: Nonprofit, Sustainability
GPA: 2.54
WE:Project Management (Non-Profit and Government)
Send PM
Re: A fair, six-sided die is to be rolled 3 times. What is the probability [#permalink]
We need to find a shortest and most intuitive way of answering question in GMAT.
Since probability = No of Desirable Outcomes / Total Outcomes.
Each dice having 6 sides when rolled thrice will have 6*6*6 total outcomes.
Desirable outcomes = No of Desirable prime no (2,3,5)
Probability = 3/6 * 3/6 * 3/6 = 1/8 = 0.125
The Correct Answer is A
Bunuel wrote:
A fair, six-sided die is to be rolled 3 times. What is the probability that the die will land on a prime number each time?

A 0.125
B 0.25
C 0.5
D 0.75
E 0.9
Tutor
Joined: 05 Apr 2011
Status:Tutor - BrushMyQuant
Posts: 1804
Own Kudos [?]: 2147 [1]
Given Kudos: 100
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE:Information Technology (Computer Software)
Send PM
Re: A fair, six-sided die is to be rolled 3 times. What is the probability [#permalink]
1
Kudos
Expert Reply
Top Contributor
Given that a fair 6-sided die is rolled three times and We need to find What is the probability that the die will land on a prime number each time?

As we are rolling three times => Number of cases = \(6^3\) = 216

In each toss we need to get a prime number => For each toss there are 3 favorable outcomes out of 6. (Getting a 2, 3, 5)

=> Probability of getting a prime number in one toss = \(\frac{3}{6}\) = \(\frac{1}{2}\)

=> Probability of getting a prime number in any of the three tosses = \(\frac{1}{2}\) * \(\frac{1}{2}\) * \(\frac{1}{2}\) = \(\frac{1}{8}\) = 0.125

So, Answer will be A
Hope it helps!

Watch the following video to learn How to Solve Dice Rolling Probability Problems

GMAT Club Bot
Re: A fair, six-sided die is to be rolled 3 times. What is the probability [#permalink]
Moderator:
Math Expert
94592 posts