Can someone please explain the elevator paradox?

AI Thread Summary
The elevator paradox involves the probability of an elevator being above or below a waiting passenger in a multi-floor building. When the elevator is equally likely to be on any floor, if there are more floors above the passenger, the likelihood of the elevator arriving from above increases. This leads to the conclusion that, on average, the elevator will take longer to arrive when the passenger is waiting on a lower floor compared to a higher one. The discussion highlights a preference for simpler explanations over complex ones, particularly criticizing Wikipedia's approach. Understanding the paradox relies on basic probability principles rather than complicated theories.
Nerdydude101
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I tried searching it up but the only good place i found was wikipedia that actually talked about it and i hate wikipedia because it tries to explain complex things in complex ways instead of making them simple. Thanks!
 
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What is the elevator paradox?
 
Yeah
 
This paradox really isn't complicated. Assume that when you arrive and begin to wait for the elevator the elevator is on a random floor in the building (for simplicity assume equal probability of being on each floor). If the elevator is randomly above you then it will have to come down to get you, if it is randomly below you then it will have to come up to get you. If there are more floors above you than below you then the probability of it being above is greater than the probability of it being below and therefore the probability of a downwards elevator is greater than an upwards elevator.
 
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