alt Hacker NewsIt turns out that best of 2 random draws outperforms best of 1, best of 3, and best of all in many load balancing scenarios: https://brooker.co.za/blog/2012/01/17/two-random.html
It's a bit unintuitive, but they key idea is roughly 'If you're working on stale load data (as always), best of 2 strikes the right balance between distributing load evenly and giving more work to less loaded hosts'. If you do 'best of k', you end up with herd behavior, overloading one host. 'best of 1' sends too much traffic to slow hosts.
Be careful to not overstate the conclusion of that blog post - best of 3 wins when the cache update rate is more frequent than average task duration, and best of 2 still has herding behavior and loses to 1 random when the update rate is less frequent (which may be high load, or we may also be missing a dimension here). Since the plot chose the window where best of 2 wins, it might bias or prime the reader to believe best of 2 is usually or always best, forgetting that underloaded and overloaded scenarios are in reality more common than all servers having a nice balanced medium size load for long periods.