I shuffled a deck of cards and picked out 5 random cards. I then gave these cards to Adam. Adam gave one card back to me and told me this was the card that he was “coding.” Adam then rearranged the order of the remaining 4 cards and gave them to Belinda. After looking at the order of the 4 cards, Belinda correctly identified the card I was holding. How did Adam and Belinda do this trick? There were no word clues or trick cards used- the trick was entirely involving the ordering of the cards.
Scroll down for a clue and further down for the answer.
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Clue: This is a logic puzzle. When you hand someone 5 cards, at least two of the cards will have the same suit. Is there a way to order the final 3 cards such that they indicate a number from 1-6?
Scroll down for the answer.
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Answer: If someone is given 5 cards, two of the cards at least will always share the same suit. The higher value of these suit sharing cards will be the card designated as the ‘coding card’. This card is handed to the spectator. There are 4 cards left to arrange into an order. One of these remaining 4 cards will share a suit with the coding card. This suit sharing card will be placed in position number 1. There are now 3 cards left to order. When you have 3 cards, you can place them in an order depending on their value. For instance, if we have a 5, jack and 9, we can place them in low, middle, high order (LMH) which would be 5, 9 and jack (If two cards have the same number eg both 7s we rank them according to the suit’s alphabetical order: Clubs, Diamonds, Hearts, Spades.) We could also place them in 5 other permutations, in total 6 possible combinations as listed below:
LMH=1 (5,9,J)
LHM=2 (5,J,9)
MLH=3 (9,5,J)
MHL=4 (9,J,5)
HLM=5 (J,5,9)
HML=6 (J,9,5)
The order we put these cards in depends on how much higher the original “coding card” is than the suit card in position 1. If we have a coding card of value 10 and a suit card of value 7 then we do 10-7=3 and therefore order the 3 remaining cards as number 3 in the above table ie middle, low high.
I will now go through an actual example to hopefully make things clearer. I am given the random cards: 3C, 5C, 7S, JD, 8H.
I notice there are two clubs (3C and 5C) and therefore deem the higher of the two (5C) to be the coding card and I give this to the spectator. I place the 3C in position number 1 so the person doing the uncoding knows the suit of the coded card.
I now have 7S, 8H and JD left. The card in position number 1 has a value of 3 which is two less than the coding card’s value of 5. I therefore need to code 5-3=2. From the above table, 2 is associated with “low, high middle” therefore I order the 7S, 8H and JD as the lowest card first: 7S then the highest:JD then the middle 8H.
I have finished the positioning of the cards:
3C
7S
JD
8H
I give them to the uncoding person.
The uncoding person knows the coded suit immediately is a club as position 1 is clubs. The coding person notices the 7,J,8 remaining cards are ordered low, high and middle and that is associated with 2 hence they add two the position 1 card of 3 and this equals 5. The card is then identified as the 5 of clubs.
I have explained this whole process in a rather convoluted manner and it’s not that complicated in reality. This trick can be performed under the guise of ‘magic’ if you have someone else that also knows the trick and can perform it with you.