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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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 don mcdonald Posts: 204 Registered: 12/12/04
Re: why do buses always come in 3s? , math book?
Posted: May 26, 2000 1:01 AM

On Thu, 25 May 2000, Michael Press wrote:

> Date: Thu, 25 May 2000 16:25:31 -0700
> From: Michael Press <prezky@apple.com>
> Newsgroups: sci.math, nz.general, rec.puzzles
> Subject: Re: why do buses always come in 3s? , math book?
>
> In article <Pine.GSO.3.96.1000522175011.4577A-100000@localhost>, Don McDonald
> [...]

> > New Zealand lotto is 40_choose_6 game. Six lucky nos.
> > are drawn without replacement from 1 to 40. 10/. What
> > is the expected lowest numbered ball this week in the
> > lucky 6? nzsm May 1993.
> >
> > unfortunately i have not studied queuing theory.

> [...]
>
> 41/7
> No queuing theory necessary. The probability that the
> smallest number is k is proportional to a binomial coefficient.
> The sum involved in the expectation value is evaluated
> with simple transforms, and the formula
> SUM{0 <= j <= n} Choose (j, m) = Choose (n+1, m+1).
> Want more?

Thanks Michael,
what is expected range of L balls from 1 .. N.

new zealand science monthly May 1993.

(N+1)(1-2/(L+1)).

is this correct?
>
> Number of possible outcomes of the drawings = N = Choose (40, 6).
> Probability that the least number is k = p_k = Choose (40 - k, 5) / N.
> Why?
>
> Expectation value

[snip for brevity, but i need to study.]

> = 41/7

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

>
> Michael Press
>

cheers

/ don. (M) (loto, ANZbank ATM invisible, nz post prev. occupant unclaimed)
--
millennium 57*60^3 = 12/31/2000. | call Mindr/ RECord hit # hash
wats the pattern including no pattern in every Keno #645 ANZAC 1997-2000.
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