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-----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 (See35. This is the same as the "South Dakota Cash Lottery" that has
subject heading)
I asked my Math 316 (Discrete Math) to randomly pick 5 numbers from
1 to
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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_______________________________________________
Forum for Physics Educators
Phys-l@phys-l.org
http://www.phys-l.org/mailman/listinfo/phys-l