By my calculations there will be an average of 500 collisions, no? Each shoebox has an effective width of 2 feet, and with 50k of them that's about 1% density. With 50k in the other direction, and about a 1% collision rate, that's 500 collisions.

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WarmWash 5 hours ago | parent [-]

Seems like you're right, I didn't actually run through the statistics and just went with intuition. Yikes

	▲	hatthew 3 hours ago \| parent [-]
		Yeah my intuition was the same; if I had 1 second to make a guess I probably would have said 1% chance of >0 collisions