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