04 Agustus 2008

Card Trick (English Version)

Sometimes, when you friend have a birthday party - he/she invites a Magician to make her/his party more rooster. Then, when the magician shows to you some card trick - you say this to yourself : "Hmm, what an amazing work. He can make us enjoy with just one card deck. I hope I can also do such a thing."

Well that's not just a dream. Now you can learn how magician tricked you with their card magic. The key of this is just a Mathematic especially on arithmatic. So, you will learn how magician use their card trick. Because I will tell you the Secret 
Follow my Instruction below  :

Card Trick 1


What must be Prepared :
Materials:
A standard deck of cards
 
What should you do :
Step 1) Have a friend shuffle a standard 52-card deck to his/her satisfaction. Lay the 36 cards out in 6 rows of 6 cards each. Be sure to deal the top row from left to right. Then deal the second row beneath it from left to right. And so on with each succeeding row laid out underneath the one before.

Step 2) Ask your friend to look at the cards and tell you which row the chosen card is in. Remember what number the row is.

Step 3) Carefully pick the cards up in the same order you laid them down. So the first card on the left of the top row is on top of the stack, and the last card on the right of the bottom row is on the bottom of the stack.

Step 4) Now lay the cards down in 6 rows of 6 cards each, but this time spread the card one column at a time. Instead of proceeding from one row to the next, proceed from one column to the next. Lay the first six cards in a column from top to bottom on the far left. Then lay out the next six cards in a second column of six cards just to the right of the first column of six cards. Continue doing this until you have 6 columns of 6 cards each (which looks the same as 6 rows of 6 cards each -- because it is the same).

Step 5) Once again ask your friend which row contains the chosen card.

Step 6) When you friend tells you which row the card is in, you can say what the exact chosen
card is.

If you did everything correctly, it works every time! Amazing!

Mathematical reason how it works:
If your friend said the card was in row 2 the first time, and in row 5 the second time, then the chosen card is the one in the second column of the fifth row. This is because the way you arrange the cards, what were rows the first time around become columns the second time around.


Card Trick 2


What should be Prepare :
Materials:
A standard deck of cards

What should you do :
Start:
Step 1) Have a friend shuffle a standard 52-card deck to his/her satisfaction. Then ask him/her to turn over, face up, a pile of twenty-five cards. As they count out the cards to twenty-five, act like you are intensely memorizing every single one of them in order. In truth you are only interested in the 17th card in the pile. Memorize that card.

Step 2) Turn the twenty-five card pile over, now face down, and set aside.

Step 3) Take the remaining cards and pick a card off the top of the deck and do the following:
a) If it is a two through nine card, place it face up, and count out cards up to the number ten.
ex 1) For instance, if you turn up a six, you would place it face up, and then count out four cards (face down
but not cover up the original card) counting up, (cards can be face up in this part) saying:
“seven, eight, nine, ten”
ex 2) If you turned up a three, then seven cards, saying: “four, five, six, seven, eight, nine, ten”
b) If the card you turn up is an ace, ten, or picture, tell your friend that you must have cards two through nine
for this trick and place the card on the bottom of the deck, face down like the rest of the cards.

Step 4) Repeat this procedure until you have completed four columns of ten counts.

Step 5) Take whatever remaining cards you have after making the four columns, and place them face down on TOP of the twenty-card pile you set aside earlier.

Step 6) Now ask your friend to total up the numbers at the top of the four columns. ex 1) Total was 23.

Step 7) Counting from the very top of the set-aside-pile-plus-remainder-cards, state you are interested in the 23rd card.

Just before turning over the 23rd card, state that it is the card that you memorized at the beginning of the trick!

If you did everything correctly, it works every time! Amazing!

Mathematical reason - how it works:
Step 2) After this step your card is 17 cards from the top of the deck.

Step 3) You have four piles of cards where we will let the top cards be called a, b, c, d; i.e. from ex 1) above a = 6

The number of cards in all the stacks will be:
10 - a + 1 + 10 - b + 1 + 10 - c + 1 + 10 - d + 1 = 44 - (a + b + c + d)
(Note: from ex 1) above when a = 6 there will be 5 cards in that stack: 10 - 6 + 1)
Step 5) Recall: There are 52 cards in the deck and 25 in the set aside pile that has the memorized card 17 cards down;
that leaves 27 cards to be put in stacks and as left overs.

The number of left over cards will be:
27 - 44 - (a + b + c + d) or -17 - (a + b + c + d)
Step 6) Total will be (a + b + c + d)
Step 7) The 17 cards in the set aside pile and the -17 from step 5) cancel each other out so the number of cards to count down to get to the memorize card will be the total from step 6) i.e. (a + b + c + d)

Okey, Enjoy it ...



Special Thanks : R. Greenlee Wheaton Warrenville South High School, Wheaton IL. 08/03/01





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