Prob theory

also called evidence theorem = how much you should trust the evidence that comes in.

short example

car alarm is frequently regarded as a false alarm, and we usually ignore it.

long example

Cancer (1%)

Healthy (99%)

Test pos

80%

10%

Test neg

20%

90%

1% of people have cancer

Q: what’s the chance we really have cancer if we get a positive result.

A: ~ 8%

False positives skew results.

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