What are some examples of 'common sense' which are nonsense?
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[email protected]replied to [email protected] last edited by
Adding my own explanation, because I think it clicks better for me (especially when I write it down):
- Pick a door. You have a 66% chance of picking a wrong door, and a 33% of picking the right door.
- Monty excludes a door with 100% certainty
- IF you picked a wrong door, then there's a 100% chance the remaining door is correct (so the contingent probability is
p(switch|picked wrong) = 100%)
, so the total chance of the remaining door being correct isp(switch|picked wrong)* p(picked wrong) = 66%
. - IF you picked the right door, then Monty's reveal gives you no new information, because both the other doors were wrong, so
p(switch|picked right) = 50%
, which means thatp(switch|picked right) * p(picked right) = 50% * 33% = 17%
. p(don't switch|picked wrong) * p(picked wrong) = 50% * 66% = 33%
(because of the remaining doors including the one you picked, you have no more information)p(don't switch|picked right) * p(picked right) = 50% * 33% = 17%
(because both of the unpicked doors are wrong, Monty didn't give you more information)
So there's a strong benefit of switching (66% to 33%) if you picked wrong, and even odds of switching if you picked right (17% in both cases).
Please feel free to correct me if I'm wrong here.
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[email protected]replied to [email protected] last edited by
I work in the risk assessment space, so they are kind of critical to be aware of, for me
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[email protected]replied to [email protected] last edited by
That's more of an turn-of-phrase, no?
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[email protected]replied to [email protected] last edited by
Wait, how does that work? It seems like it should take the same energy to melt it either way.
presumably they mean using something besides your body heat to melt it
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[email protected]replied to [email protected] last edited by
there's actually aword for this type of mixed idiom: malaphor
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[email protected]replied to [email protected] last edited by
Ideally you'd use an external heat source to melt the snow so you're not wasting your body heat on it. Failing that, I've also heard people recommend filling a water bottle with snow and putting it in between the layers of clothing you're wearing so it's not directly touching your skin.
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[email protected]replied to [email protected] last edited by
I like saying "we'll burn that bridge when we come to it".
Most people don't catch it.