Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 23 Jul 2019, 06:35

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

Jim and Renee will play one game of Rock, Paper, Scissors.

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

Hide Tags

Find Similar Topics 
Manager
Manager
avatar
Joined: 07 Feb 2010
Posts: 124
Jim and Renee will play one game of Rock, Paper, Scissors.  [#permalink]

Show Tags

New post 26 Nov 2010, 07:13
4
19
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

64% (01:27) correct 36% (01:29) wrong based on 696 sessions

HideShow timer Statistics


Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is the probability that Jim will win?

A. 5/6
B. 2/3
C. 1/2
D. 5/12
E. 1/3
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56371
Re: Jim and Renee will play one game of Rock, Paper, Scissors.  [#permalink]

Show Tags

New post 26 Nov 2010, 07:23
5
6
anilnandyala wrote:
Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is the probability that Jim will wi

5/6

2/3

1/2

5/12

1/3


There are 3*3=9 combinations (cases) possible. In 3 cases there will be a tie (rock-rock, scissors/scissors, paper/paper). Now, out of 6 cases left Jim and Renee have equal chances of winning, so in 3 cases Jim will win and in other 3 Renee will win. So the probability Jim winning the game is (favorable outcomes) / (total # of outcomes) = 3/9 = 1/3.

Or: no matter what sign Renee will select Jim can select 1 sign to win, 1 sign to get tie and 1 sign to loose, so the probability Jim winning the game is 1/3.

Answer: E.
_________________
General Discussion
Retired Moderator
User avatar
S
Joined: 18 Sep 2014
Posts: 1100
Location: India
GMAT ToolKit User Reviews Badge
Re: Jim and Renee will play one game of Rock, Paper, Scissors.  [#permalink]

Show Tags

New post 17 Aug 2015, 09:41
Bunuel wrote:
anilnandyala wrote:
Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is the probability that Jim will wi

5/6

2/3

1/2

5/12

1/3


There are 3*3=9 combinations (cases) possible. In 3 cases there will be a tie (rock-rock, scissors/scissors, paper/paper). Now, out of 6 cases left Jim and Renee have equal chances of winning, so in 3 cases Jim will win and in other 3 Renee will win. So the probability Jim winning the game is (favorable outcomes) / (total # of outcomes) = 3/9 = 1/3.

Or: no matter what sign Renee will select Jim can select 1 sign to win, 1 sign to get tie and 1 sign to loose, so the probability Jim winning the game is 1/3.

Answer: E.


I got a bit confused reg tie. But now it is clear.
Thanks Bunuel for the solution.
Can u help me refer few more problems such as this?
What can be a general strategy to deal with this kind of problems?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56371
Re: Jim and Renee will play one game of Rock, Paper, Scissors.  [#permalink]

Show Tags

New post 17 Aug 2015, 10:31
Mechmeera wrote:
Bunuel wrote:
anilnandyala wrote:
Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is the probability that Jim will wi

5/6

2/3

1/2

5/12

1/3


There are 3*3=9 combinations (cases) possible. In 3 cases there will be a tie (rock-rock, scissors/scissors, paper/paper). Now, out of 6 cases left Jim and Renee have equal chances of winning, so in 3 cases Jim will win and in other 3 Renee will win. So the probability Jim winning the game is (favorable outcomes) / (total # of outcomes) = 3/9 = 1/3.

Or: no matter what sign Renee will select Jim can select 1 sign to win, 1 sign to get tie and 1 sign to loose, so the probability Jim winning the game is 1/3.

Answer: E.


I got a bit confused reg tie. But now it is clear.
Thanks Bunuel for the solution.
Can u help me refer few more problems such as this?
What can be a general strategy to deal with this kind of problems?


Was not able to find similar questions to this one but you can practice more questions on probability and combinations from the links below:

Theory on Combinations: math-combinatorics-87345.html

DS questions on Combinations: search.php?search_id=tag&tag_id=31
PS questions on Combinations: search.php?search_id=tag&tag_id=52

Tough and tricky questions on Combinations: hardest-area-questions-probability-and-combinations-101361.html


Theory on probability problems: math-probability-87244.html

All DS probability problems to practice: search.php?search_id=tag&tag_id=33
All PS probability problems to practice: search.php?search_id=tag&tag_id=54

Tough probability questions: hardest-area-questions-probability-and-combinations-101361.html


Also, check articles on these topics in our Important Topics Directory.

Hope it helps.
_________________
Intern
Intern
avatar
Joined: 30 Mar 2016
Posts: 2
Re: Jim and Renee will play one game of Rock, Paper, Scissors.  [#permalink]

Show Tags

New post 27 Jul 2016, 06:44
Hello! First question here.

If for example they play 3 times and the question ask for the prob. that Jim will win the three times

Would it be 1/3*1/3*1/3=1/27?

Thanks!
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56371
Re: Jim and Renee will play one game of Rock, Paper, Scissors.  [#permalink]

Show Tags

New post 27 Jul 2016, 06:58
1
CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3857
Location: Canada
Re: Jim and Renee will play one game of Rock, Paper, Scissors.  [#permalink]

Show Tags

New post 29 Aug 2016, 12:43
Top Contributor
anilnandyala wrote:
Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is the probability that Jim will win?

A. 5/6
B. 2/3
C. 1/2
D. 5/12
E. 1/3


Here's another way to look at it.
Let's say that Renee already knows what she is going to select. So, that part is done.

At this point, what are the possible outcomes?
a) Jim selects the one sign that allows him to win
b) Jim selects the one sign that allows Renee to win
c) Jim selects the one sign that results in a tie.

Since each of these outcomes is equally likely, the probability of each outcome is 1/3
So, the probability that Jim wins is 1/3

Answer:
_________________
Test confidently with gmatprepnow.com
Image
Manager
Manager
User avatar
S
Joined: 02 Aug 2017
Posts: 54
Concentration: Strategy, Nonprofit
Schools: ISB '20
GPA: 3.71
Re: Jim and Renee will play one game of Rock, Paper, Scissors.  [#permalink]

Show Tags

New post 02 Sep 2018, 20:32
1
Probability of winning = (3C1*1C1) / (3C1*3C1) = 1/3
_________________

Everything is in flux, nothing stays still


MGMAT1 :590 Q42 V30 (07/07/18)
VERITAS :660 Q48 V33 (16/07/18)
GMATPREP1 :690 Q46 V36 (22/07/18)
GMATPREP2 :740 Q51 V39 (06/08/18)
ECONOMIST :740 Q49 V44 (11/08/18)
KAPLAN :690 Q49 V36 (17/08/18)
PRINCETON :690 Q48 V38 (26/08/18)
MGMAT2 :720 Q43 V45 (02/09/18)
GMAT Club Bot
Re: Jim and Renee will play one game of Rock, Paper, Scissors.   [#permalink] 02 Sep 2018, 20:32
Display posts from previous: Sort by

Jim and Renee will play one game of Rock, Paper, Scissors.

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





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