Re: [Phys-L] From a Math Prof (physics BS major) at my institution ( math challenge)

["Rauber, Joel" <Joel.Rauber@SDSTATE.EDU>]

Before giving it away, both lists are in numerical order smallest to largest; so that has been ordered after the numbers were generated.

-----Original Message-----
From: Phys-l [mailto:phys-l-bounces@phys-l.org] On Behalf Of Jeffrey Schnick
Sent: Monday, February 17, 2014 11:32 AM
To: Phys-L@Phys-L.org
Subject: Re: [Phys-L] From a Math Prof (physics BS major) at my institution ( math challenge)

Each set of five numbers in the first set is listed in numerical order from smallest to largest.  Thus, I think the first group was student generated.

> -----Original Message-----
> From: Phys-l [mailto:phys-l-bounces@phys-l.org] On Behalf Of Paul Nord
> Sent: Monday, February 17, 2014 12:28 PM
> To: Phys-L@Phys-L.org
> Subject: Re: [Phys-L] From a Math Prof (physics BS major) at my 
> institution ( math challenge)
>
> That's easy.
>
> The first group is the real lottery numbers.  It is more uniformly distributed.
>
> In the second set, the student-generated numbers, numbers in the 20's 
> are much preferred.
>
> Paul
>
>
> On Feb 17, 2014, at 10:33 AM, Rauber, Joel <Joel.Rauber@SDSTATE.EDU>
> wrote:
>
> > The below may be tangentially related to discussions of entropy (See 
> > subject heading)
> >
> >
> > I asked my Math 316 (Discrete Math) to randomly pick 5 numbers from 
> > 1 to
> 35.  This is the same as the "South Dakota Cash Lottery" that has 
> drawings twice a week.  I told them that I would compare their 
> "random" numbers to actual numbers drawn in the lottery.  They were 
> instructed to try to make their numbers as random as possible so they 
> looked just like the real random numbers.  I had 21 responses, they 
> are in one of the two lists below.  The other list is the numbers 
> drawn in the lottery from Dec 7, 2013 to Feb 15, 2014.  Can you tell 
> which list is the student's list?  Hint: there is an easy, almost trivial, way to do this, or least to locate the most likely student list.
> > 02-06-07-25-34
> > 03-09-12-15-34
> > 06-16-21-28-32
> > 06-10-13-21-23
> > 04-18-26-27-34
> > 03-06-17-27-32
> > 03-11-21-22-35
> > 01-02-08-17-27
> > 07-12-14-24-31
> > 03-07-14-18-27
> > 07-13-22-25-31
> > 07-12-23-31-32
> > 04-17-18-22-35
> > 08-15-17-20-25
> > 12-16-18-29-34
> > 02-07-11-16-21
> > 08-23-24-32-35
> > 17-19-23-29-31
> > 09-16-27-28-32
> > 06-15-19-26-32
> > 06-13-15-23-31
> >
> >
> >
> > 11-17-19-28-31
> > 03-11-29-32-35
> > 14-21-24-28-33
> > 09-14-22-23-31
> > 03-21-26-30-31
> > 05-15-20-27-29
> > 02-23-24-25-26
> > 07-13-20-24-25
> > 03-23-26-27-28
> > 06-20-21-26-29
> > 01-10-14-19-35
> > 12-18-27-32-35
> > 02-06-24-27-28
> > 03-08-11-21-30
> > 09-14-20-25-31
> > 04-13-19-21-28
> > 10-11-12-21-31
> > 02-07-11-20-24
> > 06-17-25-29-30
> > 13-23-24-26-34
> > 09-17-21-25-26
> > _______________________________________________
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>
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