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John and Bill are among five runners in a race where there

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Manager
Joined: 01 Jun 2006
Posts: 139

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John and Bill are among five runners in a race where there [#permalink]

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25 Jun 2006, 20:49
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

John and Bill are among five runners in a race where there are no ties.What is the probability that John finishs the race ahead of Bill ?

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Manager
Joined: 09 Apr 2006
Posts: 173

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

Location: Somewhere in Wisconsin!

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25 Jun 2006, 21:02
Is it 1/12? What's the OA?
_________________

Thanks,
Zooroopa

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Senior Manager
Joined: 12 Mar 2006
Posts: 363

Kudos [?]: 75 [0], given: 3

Schools: Kellogg School of Management

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25 Jun 2006, 21:50
((4+3+2+1)*3!)/5! = 10/(5*4) = 1/2 ?

actually thinking back....the solution seems simpler there are 5! cases totally and J can be either before B or after B so 1/2 ....

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Manager
Joined: 01 Jun 2006
Posts: 139

Kudos [?]: 6 [0], given: 0

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25 Jun 2006, 21:59
Yup!this is just a trick and you need no more than 10sec.
Pick up 2 places for 2 people and we always have the prob that J ahead of B is 50%

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Senior Manager
Joined: 07 Jul 2005
Posts: 404

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Location: Sunnyvale, CA

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26 Jun 2006, 08:26
Interesting.
I also got 1/2 thru' the longer method.

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26 Jun 2006, 08:26
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