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I don't think you need to go through all of this to weed out gamers. I'm sure P[enjoys games | is a programmer] is pretty high.

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I think you want & . The problem is P[gamer] / P[gamer&coder]

You're better off looking for coders and weeding out non gamers.

That's what he wrote, the | meaning "given that". P[enjoys game | is a programmer] filters gamers from a population of programmers.

Shouldn't we look at the reverse? P[programmer|gamer]? Because with this process, you'll only get gamers. The trick will be to find programmers among them.

Now, there's also the self selection bias. So it's more like P[Programmer | Gamer & Has Read Hell of a Job & Followed Through]…

I'm pretty sure the company is doing this mainly for publicity among gamers. I wonder though: will they actually be able to find a good developer to hire.

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