It is currently 18 Nov 2017, 03:54

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# What is the probability of getting a sum of 12 when rolling

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Senior Manager
Joined: 24 Jan 2006
Posts: 251

Kudos [?]: 5 [0], given: 0

What is the probability of getting a sum of 12 when rolling [#permalink]

### Show Tags

17 Apr 2006, 06:47
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

31. What is the probability of getting a sum of 12 when rolling 3 dice simultaneously?

a) 10/216
b) 12/216
c) 21/216
d) 23/216
e) 25/216

Kudos [?]: 5 [0], given: 0

Manager
Joined: 09 Apr 2006
Posts: 173

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

Location: Somewhere in Wisconsin!

### Show Tags

18 Apr 2006, 00:22
Ans E.

We need to detect the # of combinations that add up to 12 with three dices. Here are the details -

a. 6,4,2 = can arrange in 6 ways.
b. 5,5,2 = can arrange in 3 ways.
c. 3,3,6 = can arrange in 3 ways.
d. 6,5,1 = can arrange in 6 ways.
e. 3,4,5 = can arrange in 6 ways.
f. 4,4,4 = can arrange in 1 ways.

So there are 6 + 3 + 3 + 6 + 6 + 1 = 25 ways.

The number of total possibilities is 6*6*6 = 216.

So the probability is 25/216.
_________________

Thanks,
Zooroopa

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

Senior Manager
Joined: 24 Jan 2006
Posts: 251

Kudos [?]: 5 [0], given: 0

### Show Tags

18 Apr 2006, 08:06
Yeah i think this is what I need to understand

how? 5,5,2 = can arrange in 3 ways.
how? 3,3,6 = can arrange in 3 ways.

GmatAcer!

Kudos [?]: 5 [0], given: 0

Senior Manager
Joined: 15 Mar 2005
Posts: 418

Kudos [?]: 29 [0], given: 0

Location: Phoenix

### Show Tags

18 Apr 2006, 13:46
gmatacer wrote:
Yeah i think this is what I need to understand

how? 5,5,2 = can arrange in 3 ways.
how? 3,3,6 = can arrange in 3 ways.

GmatAcer!

In general, for permutation of n things, with p things alike (out of n), the permutations are n!/p!. This is because the n! includes p! permutations of those p things, which is not correct.

Therefore, in this case, 5, 5, 2 can be arranged in 3!/2! ways = 3.
_________________

Who says elephants can't dance?

Kudos [?]: 29 [0], given: 0

Intern
Joined: 07 Apr 2006
Posts: 26

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

Location: India

### Show Tags

19 Apr 2006, 03:35
the arrangements are

552,255,525

got it
_________________

go,get it........

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

19 Apr 2006, 03:35
Display posts from previous: Sort by

# What is the probability of getting a sum of 12 when rolling

 post reply Question banks Downloads My Bookmarks Reviews Important topics

Moderator: chetan2u

 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®.