A Logical Puzzle, Part 2

Note: A username and password may be required to access certain documents. Please contact Bill Rapaport.

Only one of the following is true about a particular hand of cards:

1. There is a King in the hand or there is an Ace in the hand, or both.

2. There is a Queen in the hand or there is an Ace in the hand, or both.

3. There is a Jack in the hand or there is a 10 in the hand, or both.

Question: Is it possible that there is an Ace in the hand?

Did you think that it is possible that there is an Ace in the hand?

Why?

(Could it be because you constructed this mental model?:
1. King
   Ace
   King Ace

2. Queen
   Ace
   Queen Ace

3. Jack
   10
   Jack 10

Given these 9 mental models of the situation,
it certainly seems possible that there is an Ace in the hand,
because there is an Ace in the hand in 4 of the 9 models.)

Click here for the correct answer.