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# Probability

Author Message
Manager
Joined: 11 Apr 2009
Posts: 157

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20 May 2009, 18:43
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Question Stats:

0% (00:00) correct 100% (00:44) wrong based on 1 sessions

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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?
5/6
2/3
1/2
5/12
1/3

I could not understand the question and hence had problems with figuring out the answer to this.........

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SVP
Joined: 07 Nov 2007
Posts: 1760
Location: New York

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20 May 2009, 21:50
gmatprep09 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?
5/6
2/3
1/2
5/12
1/3

I could not understand the question and hence had problems with figuring out the answer to this.........

Without solving also we can guess answer to this question : 1/3

chances of Jim Win: 1/3
chances of Renee win:1/3
chance of draw :1/3

these below are the wining combination when both of them chose one of the card
R>S
S>P
P>R

e.g Jim choose R and Renee choose S --> Jim Wins

probablity= 1/3*1/3 (J choosing R and R chooses S)+1/3*1/3+1/3*1/3
=1/3

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: Probability   [#permalink] 20 May 2009, 21:50
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