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Puzzle 1: Noting their locations, I place two aces and a jack face down on a
table, in a row; you do not see which card is placed where. Your problem is to
point to one of the three cards and then ask me a single yes-no question, from the
answer to which you can, with certainty, identify one of the three cards as an ace. If
you have pointed to one of the aces, I will answer your question truthfully.
However, if you have pointed to the jack, I will answer your question yes or no,
completely at random

I even don't know the answer. wondering if anyone else does
 Feb 13, 2014
 #1
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I don't see how this is solvable.

If I happen to point to the jack the answer you give me contains zero information. There's no question I could ask that would change that since the answer is completely at random.

Further If I point to an ace, based on your answer there is still a 1/6 probability that I could be pointing to a jack and the random answer happened to be correct. Again this is independent of any question I might come up with.
 Feb 13, 2014

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