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Topic: why do buses always come in 3s? , math book?
Replies: 69   Last Post: Jun 19, 2000 2:26 AM

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 James Lawry Posts: 3 Registered: 12/13/04
Re: why do buses always come in 3s? , math book?
Posted: May 27, 2000 12:06 PM

prezky@apple.com says...
> Don McDonald <dsmc@actrix.gen.nz> wrote:

[Mean lowest number in a 40-choose-6 lotto game]

> > > = 41/7
> >
> > =?? (N+1) / (L+1). ??
> > is this correct.?

[snip]
> Yes, how does it go again?

Isn't it something like this:

The N numbers represent gaps between N+1 beads on a string. Choosing L
numbers from N without replacement corresponds one-to-one to choosing a
way of colouring the N+1 beads with L+1 colours, with at least one bead
of each colour (since without replacement), and then stringing them on
the string so that colours are contiguous and in a particular order. (The
gap between two beads of different colours represents a lotto number.)
The mean value of the lowest number equals the mean number of beads of
the first colour (or any colour), and that's easy to work out.

Have I got that right?

James Lawry.

Date Subject Author
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5/31/00 Cyrek the Illogical
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6/1/00 Cyrek the Illogical
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6/4/00 Rich Grise
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6/6/00 foo@bar.com
6/6/00 FinalJustyce
6/6/00 foo@bar.com
6/6/00 FinalJustyce
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6/10/00 Rebecca Macann's News
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6/11/00 Matthew T. Russotto
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6/11/00 Rich Grise
6/11/00 Matthew T. Russotto
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6/5/00 Laurence Bogle
6/11/00 Aidan Stanger
5/22/00 Bill
5/27/00 Rebecca Macann's News
5/22/00 Harpo
5/22/00 Roy Everett Still no BOAT account!!
5/22/00 Jason Rumney
5/22/00 Brian M. Harmer
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5/23/00 don mcdonald
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5/26/00 watwinc
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5/26/00 don mcdonald
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5/27/00 James Lawry
5/30/00 don mcdonald
5/30/00 G Swaine