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Simulations of super bowl pool#2

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willtownes wants to merge 4 commits intodrewconway:masterfrom
willtownes:master
Open

Simulations of super bowl pool#2
willtownes wants to merge 4 commits intodrewconway:masterfrom
willtownes:master

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@willtownes
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Hi Drew,
I was inspired by your blog post about finding the probabilities of the different digit combinations. I wanted to figure out if there was an advantage to selecting a larger number of cells in the grid at random, so created a new script to do that. Also, I found a couple of places in your original code that didn't work with newer versions of ggplot so I modified the parameters to fix those, and added a few more library declarations. Let me know if you see anything wrong with my code or areas to improve, as I'm kind of new to doing simulations.
Thanks,
Will

…elated bugs in the ggplot commands, added library declarations that were missing
…ft relatively intact. Including the CSVs of the quarterly probabilities
@willtownes
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have you had a chance to look at this?

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