Find all School-related info fast with the new School-Specific MBA Forum

It is currently 21 Aug 2014, 16:17

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Ps Rolled dices

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
avatar
Joined: 30 May 2005
Posts: 283
Followers: 1

Kudos [?]: 3 [0], given: 0

GMAT Tests User
Ps Rolled dices [#permalink] New post 04 Sep 2005, 16:18
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
hello

from 4gmat software :

3 dices are rolled simultaneously in how many outcomes will the facing side of the 2 dices shows the same number

plz explains your works and your reasoning ...


thanks
Kaplan Promo CodeKnewton GMAT Discount CodesManhattan GMAT Discount Codes
Senior Manager
Senior Manager
avatar
Joined: 04 May 2005
Posts: 284
Location: CA, USA
Followers: 1

Kudos [?]: 11 [0], given: 0

GMAT Tests User
Re: Ps Rolled dices [#permalink] New post 04 Sep 2005, 19:09
mandy wrote:
hello

from 4gmat software :

3 dices are rolled simultaneously in how many outcomes will the facing side of the 2 dices shows the same number

plz explains your works and your reasoning ...


thanks


I am ready to be the first one to get it wrong again, mandy ...

Is that 30 ?

for the first dice, you can choose any of the 6 numbers,
for the second one, you can only one of 5 remaining numbers,
the the third one, you can only choose one - the same as the second dice.

That makes it: 6x5x1 = 30
Senior Manager
Senior Manager
avatar
Joined: 27 Aug 2005
Posts: 332
Location: Montreal, Canada
Followers: 2

Kudos [?]: 7 [0], given: 0

GMAT Tests User
 [#permalink] New post 04 Sep 2005, 21:20
I know this is the long and not-too-elegant solution, but I fudged this out longhand and got 90 as the answer:

Ways in which 2 of the dice will show 1s (but not all 3):
112,113,114,115,116,121,131,141,151,161,211,311,411,511,611 = 15 ways.

Multiplied 15x6 because there are 6 numbers and got 90.

I know there's a way to do this with combination and permutations, but I'm too tired to work it out.
Senior Manager
Senior Manager
avatar
Joined: 30 May 2005
Posts: 283
Followers: 1

Kudos [?]: 3 [0], given: 0

GMAT Tests User
 [#permalink] New post 05 Sep 2005, 09:28
OA is 90 I will post the OA in a few days if needed
Senior Manager
Senior Manager
avatar
Joined: 09 Aug 2005
Posts: 286
Followers: 1

Kudos [?]: 1 [0], given: 0

GMAT Tests User
 [#permalink] New post 22 Jan 2006, 21:42
mandy wrote:
OA is 90 I will post the OA in a few days if needed


Now that you gave us the answer I know the correct approach

total outcomes = 6x6x6 = 216
outcomes with all distinct outcomes = 6x5x4 = 120
outcomes with all same numbers on the 3 dices = 6

216 - 120 - 6 = 90

good one thank you
CEO
CEO
User avatar
Joined: 20 Nov 2005
Posts: 2922
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 15

Kudos [?]: 79 [0], given: 0

GMAT Tests User
 [#permalink] New post 23 Jan 2006, 01:20
This is a nice question.

Total ways = 6* 6* 6 = 216

Ways when all three have same numbers = 6
Ways when none of them has same numbers = 6* 5 * 4 = 120

ANS = 216-6-120 = 90
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Director
Director
User avatar
Joined: 09 Oct 2005
Posts: 728
Location: Madrid
Followers: 3

Kudos [?]: 11 [0], given: 0

GMAT Tests User
 [#permalink] New post 23 Jan 2006, 09:38
ps_dahiya wrote:
This is a nice question.

Total ways = 6* 6* 6 = 216

Ways when all three have same numbers = 6
Ways when none of them has same numbers = 6* 5 * 4 = 120

ANS = 216-6-120 = 90

Good that we have you here)))Gr8 explanation
_________________

IE IMBA 2010

VP
VP
User avatar
Joined: 20 Sep 2005
Posts: 1023
Followers: 3

Kudos [?]: 24 [0], given: 0

GMAT Tests User
 [#permalink] New post 23 Jan 2006, 12:35
First, calculate the probability that a given number ( say 1 ) comes up on two of the dices

1/6*1/6*5/6 ( 5/6 since the third number can be anything but 1 ).

Since there are 6 numbers we multiply it by 6.

The result is (1/6*1/6*5/6)*6. Since for any given outcome with 2 dice having the same number, the outcome can be arranged in 3!/2! = 3 ways, We need to multiply that as well,
(1/6*1/6*5/6)*6*3 = 90/216 is the probability. Thus, the total favourable outcomes are 90.

BTW, I like p_s_dahiya's method better. No need to involve prob...just count.
  [#permalink] 23 Jan 2006, 12:35
    Similar topics Author Replies Last post
Similar
Topics:
3 Probability - rolling a dice Aximili85 5 12 Aug 2012, 13:23
The six fair dice are rolled together. What is the Riuscita 11 08 Feb 2006, 10:28
Two dice are rolled. What is the probability the sum will be sperumba 7 26 Jan 2006, 17:38
Two fair dices are rolled. Find the probability that the TeHCM 4 27 Nov 2005, 16:10
If a fair dice is rolled three times, what is the crackgmat3 12 02 Sep 2004, 17:11
Display posts from previous: Sort by

Ps Rolled dices

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.