It is currently 24 Sep 2017, 17:58

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In a certain game of dice, the player’s score is determined

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

Hide Tags

2 KUDOS received
Intern
Intern
avatar
Joined: 16 Jan 2013
Posts: 33

Kudos [?]: 32 [2], given: 8

Concentration: Finance, Entrepreneurship
GMAT Date: 08-25-2013
In a certain game of dice, the player’s score is determined [#permalink]

Show Tags

New post 13 Aug 2013, 21:39
2
This post received
KUDOS
8
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (01:18) correct 18% (01:42) wrong based on 140 sessions

HideShow timer Statistics

In a certain game of dice, the player’s score is determined as a sum of three throws of a single die. The player with the highest score wins the round. If more than one player has the highest score, the winnings of the round are divided equally among these players. If Jim plays this game against 21 other players, what is the probability of the minimum score that will guarantee Jim some monetary payoff?

A. 41/50
B. 1/221
C. 1/216
D. 1/84
E. 1/42
[Reveal] Spoiler: OA

Last edited by Bunuel on 14 Aug 2013, 01:13, edited 1 time in total.
Renamed the topic and edited the question.

Kudos [?]: 32 [2], given: 8

Expert Post
5 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41699

Kudos [?]: 124810 [5], given: 12079

Re: In a certain game of dice, the player’s score is determined [#permalink]

Show Tags

New post 14 Aug 2013, 01:16
5
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Countdown wrote:
In a certain game of dice, the player’s score is determined as a sum of three throws of a single die. The player with the highest score wins the round. If more than one player has the highest score, the winnings of the round are divided equally among these players. If Jim plays this game against 21 other players, what is the probability of the minimum score that will guarantee Jim some monetary payoff?

A. 41/50
B. 1/221
C. 1/216
D. 1/84
E. 1/42


To guarantee that Jim will get some monetary payoff he must score the maximum score of 6+6+6=18, because if he gets even one less than that so 17, someone can get 18 and Jim will get nothing.

P(18)=1/6^3=1/216.

Answer: C.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 124810 [5], given: 12079

Intern
Intern
avatar
Joined: 16 Jan 2013
Posts: 33

Kudos [?]: 32 [0], given: 8

Concentration: Finance, Entrepreneurship
GMAT Date: 08-25-2013
Re: In a certain game of dice, the player’s score is determined [#permalink]

Show Tags

New post 14 Aug 2013, 03:29
Bunuel wrote:
Countdown wrote:
In a certain game of dice, the player’s score is determined as a sum of three throws of a single die. The player with the highest score wins the round. If more than one player has the highest score, the winnings of the round are divided equally among these players. If Jim plays this game against 21 other players, what is the probability of the minimum score that will guarantee Jim some monetary payoff?

A. 41/50
B. 1/221
C. 1/216
D. 1/84
E. 1/42


To guarantee that Jim will get some monetary payoff he must score the maximum score of 6+6+6=18, because if he gets even one less than that so 17, someone can get 18 and Jim will get nothing.

P(18)=1/6^3=1/216.

Answer: C.

Hope it's clear.



Bunnel thanks for posting the answer

But can you make one point clear that the question asks for the "minimum value". Won't this make any change while deciding the choices.

Thanks in advance.

Kudos [?]: 32 [0], given: 8

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41699

Kudos [?]: 124810 [0], given: 12079

Re: In a certain game of dice, the player’s score is determined [#permalink]

Show Tags

New post 15 Aug 2013, 03:40
Countdown wrote:
Bunuel wrote:
Countdown wrote:
In a certain game of dice, the player’s score is determined as a sum of three throws of a single die. The player with the highest score wins the round. If more than one player has the highest score, the winnings of the round are divided equally among these players. If Jim plays this game against 21 other players, what is the probability of the minimum score that will guarantee Jim some monetary payoff?

A. 41/50
B. 1/221
C. 1/216
D. 1/84
E. 1/42


To guarantee that Jim will get some monetary payoff he must score the maximum score of 6+6+6=18, because if he gets even one less than that so 17, someone can get 18 and Jim will get nothing.

P(18)=1/6^3=1/216.

Answer: C.

Hope it's clear.



Bunnel thanks for posting the answer

But can you make one point clear that the question asks for the "minimum value". Won't this make any change while deciding the choices.

Thanks in advance.


Not sure I understand your question...

Anyway, minimum score Jim should have to guarantee that he will get some monetary payoff is 18 (maximum possible). No other score will guarantee him that.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 124810 [0], given: 12079

Senior Manager
Senior Manager
avatar
Joined: 10 Jul 2013
Posts: 333

Kudos [?]: 405 [0], given: 102

Re: In a certain game of dice, the player’s score is determined [#permalink]

Show Tags

New post 15 Aug 2013, 05:41
Countdown wrote:
In a certain game of dice, the player’s score is determined as a sum of three throws of a single die. The player with the highest score wins the round. If more than one player has the highest score, the winnings of the round are divided equally among these players. If Jim plays this game against 21 other players, what is the probability of the minimum score that will guarantee Jim some monetary payoff?

A. 41/50
B. 1/221
C. 1/216
D. 1/84
E. 1/42

yes, 1/216

1 = 6+6+6, it ensures money.
every possibility = 6×6×6 = 216

so 1/216
_________________

Asif vai.....

Kudos [?]: 405 [0], given: 102

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 17660

Kudos [?]: 272 [0], given: 0

Premium Member
Re: In a certain game of dice, the player’s score is determined [#permalink]

Show Tags

New post 17 Aug 2014, 07:02
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 272 [0], given: 0

Intern
Intern
avatar
Joined: 25 May 2014
Posts: 49

Kudos [?]: 8 [0], given: 59

Re: In a certain game of dice, the player’s score is determined [#permalink]

Show Tags

New post 01 May 2015, 07:57
Bunuel wrote:
Countdown wrote:
In a certain game of dice, the player’s score is determined as a sum of three throws of a single die. The player with the highest score wins the round. If more than one player has the highest score, the winnings of the round are divided equally among these players. If Jim plays this game against 21 other players, what is the probability of the minimum score that will guarantee Jim some monetary payoff?

A. 41/50
B. 1/221
C. 1/216
D. 1/84
E. 1/42


To guarantee that Jim will get some monetary payoff he must score the maximum score of 6+6+6=18, because if he gets even one less than that so 17, someone can get 18 and Jim will get nothing.

P(18)=1/6^3=1/216.

Answer: C.

Hope it's clear.



Hi Bunnel

Is there no significance of mentioning the number of players as 21 in the question ?
As GMAT questions always have every information worthy

Kudos [?]: 8 [0], given: 59

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 17660

Kudos [?]: 272 [0], given: 0

Premium Member
Re: In a certain game of dice, the player’s score is determined [#permalink]

Show Tags

New post 08 Jan 2017, 15:48
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 272 [0], given: 0

Intern
Intern
avatar
B
Joined: 02 Apr 2014
Posts: 24

Kudos [?]: [0], given: 2

In a certain game of dice, the player’s score is determined [#permalink]

Show Tags

New post 16 Aug 2017, 21:21
Hi Bunel,

One question, it is mentioned that a player victory is found by sum of number on die on three throws.
So there 6 x 6 x 6 possible outcomes, but outcomes {1,2,3},{1,3,2},{2,1,3},{2,3,1},{3,1,2},{3,2,1} ..all these combinations will add up to 6, so there 3! repetitions, so shouldn't we divide (6 x 6 x 6)/3! ? actually i was looking for answer 1/36 based on above logic. Please correct me if wrong

Kudos [?]: [0], given: 2

In a certain game of dice, the player’s score is determined   [#permalink] 16 Aug 2017, 21:21
Display posts from previous: Sort by

In a certain game of dice, the player’s score is determined

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


cron

GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.