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Grading a guesser

Step 1 of 27
The idea

The smoke alarm

A smoke alarm makes a guess: fire or no fire. Four things can happen:

Fire + alarmGood catch.
No fire + quietGood, nothing to do.
No fire + alarmFalse alarm. Annoying.
Fire + quietMissed it. Dangerous!

Every yes/no model (spam filter, loan approval, fraud check) has the same four outcomes.