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



Is this with the same random seed? If this is the same random seed, it is pretty obvious where you’ve cut the tail of the distribution.

It does look like some of your most improbable events became more frequent. But something that happens two times out of a million may need a larger statistical sample to be convincing.

Why are you summing over sets of 21?

Paul


On Feb 26, 2014, at 3:50 PM, Jeffrey Schnick <JSchnick@Anselm.Edu> wrote:

Old Code:
getdist(1000000)
totalrounds = 49 482 2723 9827 25707 52175 86488
totalseq2 = 0 14 136 739 2712 7811 18039
total = 0 0 0 18 147 1063 5289

Here are the results with the new code:

octave-3.2.4.exe:13> getdist2(1000000)
totalrounds = 46 436 2662 9580 25606 52869 87332
totalseq2 = 2 17 143 787 2708 7775 18031
total = 0 0 1 9 161 1120 5359

Elapsed time is 14113 seconds.
-----------------
Key:
Each result is 21 sets of 5 unique numbers between 1 and 35 inclusive.
totalrounds(1) = number of results with zero round numbers (10,20,30)
totalrounds(2) = number of results with one round number.
totalrounds(i) = number of results with i-1 round numbers.

totalseq2(1) = number of results with zero sequences of two numbers in a row.
totalseq2(2) = number of results with one sequence of two numbers in a row.
totalseq2(i) = number of results with i-1 sequences of two numbers in a row.

total(1) = number of results with zero round numbers and zero sequences of two numbers in a row.
total(2) = number of results with one OR FEWER round numbers and one OR FEWER sequences of two numbers in a row.
total(i) = number of results with i-1 OR FEWER round numbers and i-1 OR FEWER sequences of two numbers in a row.
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