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TopicMy brother cannot comprehend the Monty Hall problem.
dave_is_slick
05/24/20 10:58:23 PM
#70:


Anteaterking posted...
When I taught math for non-majors, this usually got the same thing across without running into some of the hang ups people have with Monty Hall for whatever reason:

Suppose you are on vacation and you travel to a city with three hotels. You go to the first hotel but it seems kind of junky, so you drive to the second hotel. This one is somehow worse than the first!

It's too late to go back to the first hotel (someone behind you was going to take the last room), so you have two choices: stay at the second hotel or try your luck with the third one.

Which option leads to a better hotel stay (on average)?

(Note: for the purpose of this puzzle we're assuming that there is a strict ordering of the quality of the hotels without ties)
Sticking with the second one. The third one could either be better or worse but you don't know. The first has been eliminated. I'm sticking with the junky one I know instead of risking it for something worse.

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http://www.youtube.com/watch?v=bl61y1XM7sM
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