Monty Hall is the devil

I've long been bothered by the Monty Hall Problem. I understand the reasoning for why it's better to always switch doors after the reveal, but it just seems so goddamned wrong. The paradox came up in a novel I'm currently reading, and it's back on my mind's front burner. So, at the risk of personifying the old joke about the difference between a mathematician and a computer scientist, I wrote a little program to play the game over and over again, and lo and behold:

Switching doors does indeed converge to a 2/3 winning probability! Finally, we'll all be able to sleep well tonight. You can thank me later.