Monte Carlo – Repeated Dice Problem from 404 podcast

Last week a podcast I listen to, the 404, discussed a math problem where you roll six 20-sided die and count how often you get a situation where at least one dice matches another dice.  They discussed the math a little and came to the conclusion that it happens far more than you’d think.  I thought it’d make a good monte carlo programming exercise so I’ve done just that.  Below, you’ll find my C code (though it’s not great) and results for 2-20 dice.

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IHG Priceless Surprises Monte Carlo Simulation

Over at One Mile At A Time, they did an analysis of the recent IHG Priceless Surprises Promotion where you could mail in 94 entrees and get back 94 plays in an online game.  Most entrees only won 500 points but some won 1000, 2000, 5000, and a few won free nights or gift cards.  I liked his analysis and it got me thinking about possible wins and the distribution.  Instead of doing a bunch of math, it was easier to create a Monte Carlo Simulation and the results were a little surprising.

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