Step 1: Set up the Deck
Begin by using a regular deck of cards and shuffling them thoroughly. Then, ask the person you are performing the trick for, to pick a card from the deck without showing it to you. Ask them to remember the card and place it back into the deck.
Step 2: Split the Deck
In this step, you will split the deck into three piles with their face down on the table. The first pile will consist of the top five cards from the deck. The second pile will have the next five cards, and the third pile will have the rest of the remaining cards.
Step 3: Add up the Cards
Now, ask the person to recall their card and give you the value of it; Ace-1, King-13, Queen-12, and so on. Take the value of their card and add it to 10. So if they picked a Queen, you would add 10+12=22. Now, ask them to look at each of the three piles and to place the pile containing their card in front of them. Ask them to add up the values of all the cards in their pile.
Step 4: The Final Reveal
This is where mathematics comes into play to help you reveal their card. Add the total value of the three piles together and subtract the total from the sum of their card value and ten that you calculated in Step 3. The remaining number will be the value of their card.
Here’s an example: If their card was a Queen, you added 10+12, which gave you 22. Now, say the values of the three piles they choose were 19, 27, and 15. You would add these together (19+27+15=61) and then subtract 22 from that (61-22=39). The value of their card would be 39, which in a regular deck is a four of diamonds.
This trick may seem complicated, but with a little practice, you’ll be able to perform it effortlessly while stunning your audience. The reason behind this trick is a mathematical concept called modular arithmetic. In modular arithmetic, we only care about the remainder after dividing two numbers. In this trick, the value of the card they choose helps us figure out the remainder.
Here’s how it works: the value of the card is added to ten because adding ten doesn’t change the final answer. It just simplifies our calculation by making the remainder a single digit. Then we take the total of the three piles they placed their card in and subtract it from the calculated value. This gives us the remainder of the card they chose in a modular arithmetic sense.
In conclusion, with the help of mathematics, you can now perform a magical card trick that’s sure to surprise everyone. Always remember to be patient while practicing and to enjoy the art of magic as a way to connect with others.