Challenge #140: Prove the Birthday Paradox!

[neilgallen]

Started down a macro route and then just abandoned it for the brute force method. One I'll come back to when I have more time to work the iterative macro out.

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[ThoreKonrad]

75% @ 33

90% @ 41

[ggruccio]

Thought it would run faster based on tests, but it worked!

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My solution involved a combination of batch and iterative macros.

[OliverW]

Here is my solution for this weeks challenge.

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Went the way that one can configure how many trials they want to run, so basically I created a Batch Macro to be able to run multiple iterations of the actual process and then put this Batch macro into a regular macro where the user can directly influence the number of trials.

Final Workflow:


Regular Macro to influence number of Trials:


Batch Macro to run the actual process multiple times:

[Hary]

Hmm...I know it's not perfect.

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[olivia_paquot]

Done !

[jparcinski]

The program is way too slow, but I completed it using nested iterative macros. Also in bigger groups the probability rises a little bit faster and the last few observations have probability equals to 1.

[JoeS]

I went down the route of allowing the data to explode a little rather than the macro route.

To be above 75% chance I was getting either group size 32 or 33.

Above 90% was 41 and above.

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[OliverW]

Why do you think its slow? So my solution just ran 10000 Simulations in 1:11 (as I configured mine in the way that I just have to enter how many simulations I want to run), haveing an i7 with 16gb ram, so I did not feel that was slow. The recommended 1000 it runs in 8 seconds.

By the way, I gotta say, the more simulations you run, the nicer the curve looks like, so 10000 already gives me a very nice shaped curve with almost no breakouts in between.

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See here the curve after I just ran 50000 simulations in 8 minutes

Cheers

Oliver