It's not a trick question. It's pretty much the same as the example used in the literature and then I have a few other examples that are straight from the literature. The literature on mental models is mainly on deductive reasoning. That is why the question is in the format it is.I have rephrased it to try to make it more clear that it is not about which algorithm is correct.

Note that the robot is a black box. That is, you don't know anything about how it works, for example the algorithm it uses. You do, however, have two statements about the what the possibilities of what the dealt hand could be. These two statements are from two different designers of the robot. The problem is that you know that one of the designers lied to you and the other designer told the truth. This means that you know that only one of the following statements about the dealt hand is true.

Can you please let me know if you think this helps. Also, did you have the same problem with the second problem.

The thing is that the problem requires a particular reading because a different reading makes it a totally different problem. Under your reading the question really is:

The dealt hand will contain cards from only one of the following sets of cards:

• K, A, K and A
• Q, A, Q and A

Obviously, that's a totally different problem. If you have any suggestions on how to improve the question, let me know.