GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Sep 2018, 22:50

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

What is the probability that rolling two identical dice together will

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49346
What is the probability that rolling two identical dice together will  [#permalink]

Show Tags

New post 28 Jan 2018, 23:29
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

61% (00:27) correct 39% (00:14) wrong based on 95 sessions

HideShow timer Statistics

Senior Manager
Senior Manager
User avatar
P
Joined: 29 Jun 2017
Posts: 487
GPA: 4
WE: Engineering (Transportation)
GMAT ToolKit User Premium Member Reviews Badge
Re: What is the probability that rolling two identical dice together will  [#permalink]

Show Tags

New post 29 Jan 2018, 04:01
1
Bunuel wrote:
What is the probability that rolling two identical dice together will result in a 3 and a 4?

A. 1/36
B. 1/30
C. 1/18
D. 1/12
E. 1/3




total outcomes = 36
possible outcomes => 3 on first and 4 on second dice or 4on first and 3 on second dice => 2
therefore

P reqd = 2/36 = 1/18 Option C
IMO C
_________________

Give Kudos for correct answer and/or if you like the solution.

Director
Director
User avatar
S
Joined: 08 Jun 2015
Posts: 503
Location: India
GMAT 1: 640 Q48 V29
GMAT 2: 700 Q48 V38
GPA: 3.33
Premium Member CAT Tests
Re: What is the probability that rolling two identical dice together will  [#permalink]

Show Tags

New post 13 Apr 2018, 04:48
A small doubt here - The question says that the 2 dice are identical. So should the order matter here ?

I thought it should 1/36 ?

Experts , plz help !
_________________

" The few , the fearless "

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6802
Re: What is the probability that rolling two identical dice together will  [#permalink]

Show Tags

New post 13 Apr 2018, 04:57
1
spetznaz wrote:
A small doubt here - The question says that the 2 dice are identical. So should the order matter here ?

I thought it should 1/36 ?

Experts , plz help !



Hi it depends how are you taking the denominator...
Here you are taking 6*6 so which you pick up matters..
Therefore 3,4 will be different from 4,3..
2/(6*6)=1/18..

Say you took as order does not matter..
6*6/2=18
And 3,4 in one way..so 1/18
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Director
Director
User avatar
S
Joined: 08 Jun 2015
Posts: 503
Location: India
GMAT 1: 640 Q48 V29
GMAT 2: 700 Q48 V38
GPA: 3.33
Premium Member CAT Tests
Re: What is the probability that rolling two identical dice together will  [#permalink]

Show Tags

New post 13 Apr 2018, 05:12
chetan2u wrote:
spetznaz wrote:
A small doubt here - The question says that the 2 dice are identical. So should the order matter here ?

I thought it should 1/36 ?

Experts , plz help !



Hi it depends how are you taking the denominator...
Here you are taking 6*6 so which you pick up matters..
Therefore 3,4 will be different from 4,3..
2/(6*6)=1/18..

Say you took as order does not matter..
6*6/2=18
And 3,4 in one way..so 1/18


Thank you sir :)
_________________

" The few , the fearless "

Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3528
Location: United States (CA)
Re: What is the probability that rolling two identical dice together will  [#permalink]

Show Tags

New post 16 Apr 2018, 17:07
1
Bunuel wrote:
What is the probability that rolling two identical dice together will result in a 3 and a 4?

A. 1/36
B. 1/30
C. 1/18
D. 1/12
E. 1/3


So we can roll a 3 on the first die and 4 on the second or vice versa.

Thus, the probability of rolling a 3 and 4 is 1/6 x 1/6 + 1/6 x 1/6 = 1/36 + 1/36 = 2/36 = 1/18.

Alternate Solution:

There are 36 possible rolls of two dice. There are two ways of obtaining a 3 and a 4: either (3, 4) or (4,3). Thus, there are 2 favorable outcomes out of 36 favorable, and so the probability is 2/36 = 1/18.

Answer: C
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Intern
Intern
avatar
B
Joined: 10 Jul 2017
Posts: 5
Re: What is the probability that rolling two identical dice together will  [#permalink]

Show Tags

New post 23 Sep 2018, 08:17
spetznaz wrote:
A small doubt here - The question says that the 2 dice are identical. So should the order matter here ?

I thought it should 1/36 ?

Experts , plz help !




You can roll 2-dice at the same time; you are expecting to get #3 and #4.

In 2 possible ways to get this outcome:

1st possible outcome: Dice1 with #3 and Dice2 with #4
probabilities 1/6 and 1/6
total prob. is 1/6* 1/6= 1/36

2nd possible outcome: Dice1 with #4 and Dice2 with #3
probabilities 1/6 and 1/6
total prob. is 1/6* 1/6= 1/36

Now add the total number of possibilities: 1/36 + 1/36= 2/36 or 1/18

Hope this helps :)
GMAT Club Bot
Re: What is the probability that rolling two identical dice together will &nbs [#permalink] 23 Sep 2018, 08:17
Display posts from previous: Sort by

What is the probability that rolling two identical dice together will

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.