Reading this was a bit annoying:
Only one statement about a hand of cards is true:
There is a King or Ace or both.
There is a Queen or Ace or both.
Which is more likely, King or Ace?
… The majority of people respond that the Ace is more likely to occur, but this is logically incorrect.
It is just communicating badly https://xkcd.com/169/ . In a common parse, Ace is more likely to occur. It would be more likely to be parsed as you intended if you had said
Only one of the following premises is true about a particular hand of cards:
(like you did on the next question!)
she who wears the magic bracelet of future-self delegation http://i.imgur.com/5Bfq4we.png prefers to do as she is ordered