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neq1 comments on Beauty quips, "I'd shut up and multiply!" - Less Wrong
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Do you have to make a condescending remark every time you respond? You told me things that I already know, and then said "This is not very complicated." Great, but nothing accomplished.
You are using an estimator that is valid when you have counts from independent trials. Coin flips are independent here, but interviews are not. You need to take that into account.