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Formal Reasoning (Posted on 2004-12-15) Difficulty: 2 of 5
I present to you a deck of 4 cards. Each card has on one side a letter of the alphabet, and on the other side a single digit from 0-9.

I propose a hypothesis that may apply to this deck:
If the letter is 'E', then the number on the other side is '4'.

I then drop the 4 cards on the table, and you see: 'B', '7', 'E', '4' (on the respective cards).

Which of the 4 cards must you turn over to verify or disprove my hypothesis?

See The Solution Submitted by SilverKnight    
Rating: 3.0000 (22 votes)

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Solution Solution | Comment 22 of 60 |

You need to turn over two of the cards.

The hyposthesis is "If the letter is 'E', then the number on the other side is '4'"

NB: It does NOT say that if the number is 4 then the letter is E.

So, which cards?

B - no, not an E so we don't need to check for a 4.

7 - yes, we need to see if there is an E on the other side as this would disprove the hypothesis.

E - yes, we need to see if there is a 4 on the other side as this would disprove the hypothesis.

4 - no, we don't care if a 4 opposes any letter.

So we turn over E and 7.


  Posted by Richard Carr on 2004-12-17 13:46:38
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