About twenty years ago, I read about following paradox in probability.
There are two cash decks, and two queues of similar lenghts. You choose one of two queues as you wish, and join it. Paradox claims that whatever queue you choose, the other queue has > 0.5 probability to move faster that your queue. (I think this is funny).
I recalled this recently. But was not able to find any reference. Anybody can recall or guess what is explanation of this paradox ?