Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.


Math Forum
»
Discussions
»
sci.math.*
»
sci.math
Notice: We are no longer accepting new posts, but the forums will continue to be readable.
Topic:
why do buses always come in 3s? , math book?
Replies:
69
Last Post:
Jun 19, 2000 2:26 AM




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.3.96.1000522175011.4577A100000@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)(12/(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.?
possible argument about beads on a necklace. > > Michael Press > cheers
/ don. (M) (loto, ANZbank ATM invisible, nz post prev. occupant unclaimed)  don.mcdonald  ask me about my maths /// lottoit  millennium 57*60^3 = 12/31/2000.  call Mindr/ RECord hit # hash wats the pattern including no pattern in every Keno #645 ANZAC 19972000. rslts +64( 4) 389 6820./puta ~6827./ Pg. 340. Wellington' new zealand R.eplyto no html no http no MS WORD: <lotto@actrix.gen.nz> search dsmcd*



