Birthday Paradox Monte Carlo Simulation

Many of you are familiar with the Birthday Paradox.  If you want to read more about it you can find a good article here.  Basically, it says that in a room of 23 people, there is a 50% chance that at least two people share a birthday.  And if you increase that number to 75 people, the chances go up to 99.9%.  I wanted to explore this a little more and rather than doing the math (boring!), I decided to do a Monte Carlo simulation, run it a bunch of times, and plot the results.

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