If for example one puts all the hearts into the shuffler, in the order A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, and runs that through the shuffler first once, and then, without rearranging the cards, runs it through again, the resulting sequence after the second shuffle is always:
10, 9, Q, 8, K, 3, 4, A, 5, J, 6, 2, 7
The question is:
What was the order of the cards after the first run through this non-randomizing shuffler?
From the Skeptics' Guide to the Universe podcast episode of June 22, 2013 (episode 414).