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

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John and Bill are among five runners in a race where there [#permalink] New post 25 Jun 2006, 20:49
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 ?
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 [#permalink] New post 25 Jun 2006, 21:02
Is it 1/12? What's the OA?
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 [#permalink] New post 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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 [#permalink] New post 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% :-D
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 [#permalink] New post 26 Jun 2006, 08:26
Interesting.
I also got 1/2 thru' the longer method.
  [#permalink] 26 Jun 2006, 08:26
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