SpuriusMaximus
Penultimate Amazing
- Joined
- Mar 2, 2009
- Messages
- 25,676
Actually, that's flat out wrong, Unca. You need not only a P(B) for that estimate, but also a P(B|A). _If_ the percentage of rapists wearing a red shirt on the third date were were known to be higher than the percentage of guys wearing red shirts on the third date in the general population, (ETA: or just the percentage of rapists wearing red ever vs the percentage of guys wearing a red shirt ever, that works too,) then yes, Bayes' Theorem would say exactly that: that it's ok to start worrying if the guy you date shows up in a red shirt on a third date.
Just because you obviously don't understand it, doesn't mean it's useless. It just means you obviously don't understand it.
And the whole _idea_ is to predict the probability of an event B when you know event A has happened, even if they're not the same type of event or behaviour. E.g., "If 50% of a high school's students are female, and only 40% of girls wear pants, if you see someone wearing pants from a distance, what's the probability it's a girl?" Nobody (sane) would say that wearing pants is the same kind of behaviour as being a girl, or anything, but you can calculate the probability anyway.
The other objections in the thread boiling down to "yeah, but there are other factors" are invalid too. Yes, if you knew other factors, you should adjust the estimate based on them too. But that doesn't mean you can't calculate a probability until you know all the factors.
E.g., in the girls and pants example, sure, someone could sound all profound by going on about what if genetic preferences influence it too, and what if certain kind of pants are more girl-like, and what if someone deliberately wears pants to deceive you (the Bundy objection.) So what? If you know those you should of course adjust the estimates, but in the meantime you still _can_ calculate a probability based on what you do know.
What she describes there is just the normal and correct way to assess risk. If you know nothing, that person starts at the general P(A). Once you know an event B you can correlate with, you move it to P(A|B). Once you have a C, D and E too, you move it to a P(A|B&C&D&E). And so on.
There is nothing irrational in there. That's how risk assessment works. That's how your insurance can adjust your premium based on what types of incidents you've been in, or conversely how many years without one you had. You start at P(A), then are moved to a P(A|B), then to a P(A|B&C) and so on.
Just because you obviously don't understand it, doesn't mean it's useless. It just means you obviously don't understand it.
And the whole _idea_ is to predict the probability of an event B when you know event A has happened, even if they're not the same type of event or behaviour. E.g., "If 50% of a high school's students are female, and only 40% of girls wear pants, if you see someone wearing pants from a distance, what's the probability it's a girl?" Nobody (sane) would say that wearing pants is the same kind of behaviour as being a girl, or anything, but you can calculate the probability anyway.
The other objections in the thread boiling down to "yeah, but there are other factors" are invalid too. Yes, if you knew other factors, you should adjust the estimate based on them too. But that doesn't mean you can't calculate a probability until you know all the factors.
E.g., in the girls and pants example, sure, someone could sound all profound by going on about what if genetic preferences influence it too, and what if certain kind of pants are more girl-like, and what if someone deliberately wears pants to deceive you (the Bundy objection.) So what? If you know those you should of course adjust the estimates, but in the meantime you still _can_ calculate a probability based on what you do know.
What she describes there is just the normal and correct way to assess risk. If you know nothing, that person starts at the general P(A). Once you know an event B you can correlate with, you move it to P(A|B). Once you have a C, D and E too, you move it to a P(A|B&C&D&E). And so on.
There is nothing irrational in there. That's how risk assessment works. That's how your insurance can adjust your premium based on what types of incidents you've been in, or conversely how many years without one you had. You start at P(A), then are moved to a P(A|B), then to a P(A|B&C) and so on.
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