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Artificial Intelligence / Unit 6   AI 0304 short lesson, about 20 seconds

The Transposed Conditional

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The idea

Swapping "the probability of the evidence, given innocence" for "the probability of innocence, given the evidence" is the transposed conditional — different fractions of different rooms.

In practice

In the clinic, 36 of 40 versus 36 of 132; in court, the same swap is called the prosecutor's fallacy.

Where people slip

On hearing any conditional probability, ask which room is the denominator — three seconds, families of error prevented.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

Unlocks

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