The slow lane paradox, or: you’re not paranoid, the universe really is out to get you

If you are in one of two identical lanes, then for the majority of the time you’ll be in the slower lane.

This fact does not spring from the psychology of human perception, but from mathematics. (The psychological aspect will enthusiastically add to our travails, of course.)

This violates our sense of symmetry, and so can be considered a paradox. The explanation of this paradox is not terribly sophisticated mathematically, although there are some subtleties to do with probability. However, to the best of my knowledge, it hasn’t been described elsewhere; at least, it isn’t familiar to most people. Since this situation comes up all so often, it seems it should be better known.

And it’s a nice little exercise in simple probability, too, so we’ll work it out in detail. Even if the result is obvious, there are some interesting aspects.

Here’s the article:

https://edgeofthecircle.net/lane_paradox.pdf

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