I think that the communication goals of the OP were not to tell us something about a hand of cards, but rather to demonstrate that certain forms of misunderstanding are common, and that this maybe tells us something about the way our brains work.
The problem quoted unambiguously precludes the possibility of an ace, yet many of us seem to incorrectly assume that the statement is equivalent to something like, ‘One of the following describes the criterion used to select a hand of cards.....,’ under which, an ace is likely. The interesting question is, why?
In order to see the question as interesting, though, I first have to see the effect as real.
I think that the communication goals of the OP were not to tell us something about a hand of cards, but rather to demonstrate that certain forms of misunderstanding are common, and that this maybe tells us something about the way our brains work.
The problem quoted unambiguously precludes the possibility of an ace, yet many of us seem to incorrectly assume that the statement is equivalent to something like, ‘One of the following describes the criterion used to select a hand of cards.....,’ under which, an ace is likely. The interesting question is, why?
In order to see the question as interesting, though, I first have to see the effect as real.