3 ms·
Here's another way of phrasing my point. I expect to be able to find an ecologically intuitive example, for any given "non-intuitive" probability problem, where
by mjburgess 2y ago
Here's another way of phrasing my point. I expect to be able to find an ecologically intuitive example, for any given "non-intuitive" probability problem, where the underlying reasoning/model/etc. is the same, and people will solve it exactly correctly.
Try this:
You're at a dinner with two others and you know the host has poisoned the food for you and your friend. He let's you choose your plate first. He then hands another plate to your friend. Do you swap your plate with the one on the table?
I think in this case it "feels" more obvious that the plate on the table, being his, is much less likely to be poisoned since he will necessarily have given a poisoned one to your friend. This makes the necessity in the hosts action more intuitive. I think a lot of people here would swap, even if they couldnt fully explain why.. they know the hosts knows something and this affects what you took and what they were given.
I'm sure a much better example could be created which is even more obvious.
- vitus 2y agoThis sounds like a more complicated (and simultaneously under-analyzed) version of the Princess Bride iocaine powder scene. Assigning probabilities doesn't really make any sense in this context, since you're relying on the trustworthiness of your information as well as the assumption that the game is fair and/or winnable. Besides that, I would expect most people to make their decisions based on their interactions with the host (body language, tone, etc), although there's potential for trying to analyze psychology of the host.
- mjburgess 2y agoYes, indeed. And I think exactly the same problems are at work in understanding any scenario. We don't turn off our scepticism, or all the various heuristics that keep us alive, just because a mathematician comes along with a powerpoint slide.