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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: 141
Followers: 1

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

John and Bill are among five runners in a race where there [#permalink]  25 Jun 2006, 19:49
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 ?
Manager
Joined: 09 Apr 2006
Posts: 173
Location: Somewhere in Wisconsin!
Followers: 1

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

Is it 1/12? What's the OA?
_________________

Thanks,
Zooroopa

Senior Manager
Joined: 12 Mar 2006
Posts: 367
Schools: Kellogg School of Management
Followers: 2

Kudos [?]: 38 [0], given: 3

((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 ....
Manager
Joined: 01 Jun 2006
Posts: 141
Followers: 1

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

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%
Senior Manager
Joined: 07 Jul 2005
Posts: 404
Location: Sunnyvale, CA
Followers: 2

Kudos [?]: 4 [0], given: 0

Interesting.
I also got 1/2 thru' the longer method.
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