# Logic Applications

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Logic Application

With this game the players are card counting in a since. It’s a process of elimination. They know what is in there hand and a card that is in the opponents hand. Knowing that there are cards numbered from 1-9 you start by taking out what is in your hand and the cards that are located on each person’s forehead. Then listening to key questions you will be able to come up with an answer. So Andy draws the first question:
Andy draws the question card, “Do you see two or more players whose cards sum to the same value?” He answers, “`yes.”

Sum of Belle's cards = 5 + 4 + 7 = 16
Sum of Carol's cards = 2 + 6 + 4 = 12

Since these have different sums, but Andy sees at least two players whose cards have the same sum, then your cards must add up to either 12 or 16

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Next Belle draws the question card, “Of the five odd numbers, how many different
Odd numbers do you see?” She answers “All of them.”

The only odd cards that Belle sees from Andy and Carol are 5, 7

So you must have 5 and 7

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5 + 7 = 12

You know that sum of your cards = 12 or 16
Since 5 + 7 = 12, and smallest card is 1, then your cards must add to more than 12
Sum of your cards = 13

Third card = 13 - 7 - 5 = 1

So if a person listens to the clues that that are being asked and applies those questions to what they already know with what the hold in there hand they will be able to come up with the unseen card that is located on their forehead and be correct. Card counting can be a tricky thing and with time a person can become quite good at...

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