RE: GLUG: Lotto

["Thinus Pollard" <thinusp@xxxxxxxxxxxxxxxx>]

my R0.02 (for what it's worth these days....)

the chances of picking the correct 6 numbers in sequence....

1/49 * 1/48 * 1/47 * 1/46 * 1/45 * 1/44

or 43!/49!

which comes to...

 1 in 10 068 347 520

pretty slim....

T

> -----Original Message-----
> From: owner-glug@xxxxxxxxxxxx [mailto:owner-glug@xxxxxxxxxxxx]On Behalf
> Of hvisage
> Sent: 03 April 2000 09:11
> To: Dwayne Bailey
> Cc: Wayne Pascoe; glug@xxxxxxxxxxxx
> Subject: Re: GLUG: Lotto
> 
> 
> On Sat, Apr 01, 2000 at 08:05:56AM +0200, Dwayne Bailey wrote:
> > 
> > 
> > > On the same thread, why not just brute force the lotto? There 
> are only a
> > > finite number of possible combinations, so generate a list of every
> > possible
> > > combination, and if cost to enter all the combinations is 
> less than the
> > > winnings, you have a profit... If not, back to random number 
> generation
> > :-)
> > 
> > 49^6 * R2.50 = +- R34.6 billion - enough to run a small African 
> country.  I
> > guess its back to random numbers
> 
> Wrong: 49!/43! which IS less than 49^6
> 10068347520 < 13841287201
> The Logic: First pass there are 49 balls to choose from.
> Second pass there are now only 48 balls 
> etc.
> Thus: 49*48*47..*1=49!
> But we'll stop after 6 tries: thus eliminate every thing after 
> the 49-6'th try
> Thus: 49!/43!=49*48*47*46*45*44
> 
> But it's still a biggish value :(
> 
> > or
> > 49^5 * R2.50 =  +- R706 million - still a lot.
> > 
> > Regards
> > Dwayne Bailey
> > 
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> -- 
> ------------------------
> Hendrik Visage
> hvisage@xxxxxxxxxxxxxx
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