Now, what’s your overall p(doom)? Well, it’s:(probability that GPT-6 is scary smart * probability of doom conditional on GPT-6 being scary smart) + (probability that GPT-6 isn’t scary smart * probability of doom conditional on GPT-6 not being scary smart)That is, in this case, 42%.[12]
Now, what’s your overall p(doom)? Well, it’s:
(probability that GPT-6 is scary smart * probability of doom conditional on GPT-6 being scary smart) + (probability that GPT-6 isn’t scary smart * probability of doom conditional on GPT-6 not being scary smart)
That is, in this case, 42%.[12]
Note that in this case you will predictably (80% of the time) update upwards.
Note that in this case you will predictably (80% of the time) update upwards.