A Test of Reasoning

There is a deck of cards, each of which has a number on one side of the card and a letter on the other side. This fact is a given, and you can assume it is true. Four of these cards are dealt onto a table, showing the following face up:

4 cards showing: 1, 2, A, and B

Conjecture: "For these four cards, every card with an even number on one side has a vowel on the other."

Question: What is the smallest set of cards (list which ones) that must be turned over to test the conjecture?

Definitions: Vowel = a letter in the set {A, E, I, O, U}

Even Number is divisible by 2 without remainder,{...-4, -2, 0, 2, 4,...}

Test: An experiment that would refute (disprove) the conjecture, if the conjecture were false.

1.What is the smallest set of cards that must be turned over in order to test the conjecture? Which ones do we need to turn over?
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2. What is your age in years?

3. What is your gender?


4. Education: What is your highest degree?

Less than 12 years of education
Graduated 12 year high school degree
1 - 3 years of college
College graduate (bachelor's diploma or degree)
Master's degree (M.A., M.S., M.S.W., etc.)
Doctor's degree (Dr., Ph.D., J.D., M.D., etc.)

Please check your answers. Thank you for participating!

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