Focus with finding the card. Effective trick and its solution

EFFECTIVE FOCUSES AND THEIR CLUES
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Focus with finding the card. Focus Secret

Spectacular tricks and their clues

Directory / Spectacular tricks and their clues

Focus Description:

The deck of cards is shuffled. The magician scans it briefly, puts it face down and names one card. Let's say it's a two of hearts. Now someone calls a number from 1 to 26. The showman counts this number of cards one at a time on the table and reveals the top card of the pile he has laid. But it's not a deuce of hearts!

The artist looks puzzled and suggests that the card may have been left in the bottom half of the deck. The wrong card is turned face down and placed on this half-deck, and the rest of the cards from the pile remaining on the table are placed on top. The spectator is asked to name another number, this time from 26 to 52. This number of cards is again dealt to the table. And again, it turns out that the top card in the pile is not a deuce of hearts.

Again, the wrong card is turned over and placed on the bottom of the deck, and the cards taken from the table are placed on top. Now the demonstrator suggests that there will be a two of hearts if the first is subtracted from the second number. A subtraction is made, and the number of cards equal to the difference is counted, the next card is revealed, and this time it turns out to be a two of hearts!

Focus secret:

A cursory glance at the cards showing simply calls the top card of the deck. After two readings, the card automatically finds itself in a position following the indicated difference of the two numbers named by the spectator.

Let m < 26 and n > 26 be the numbers named by the spectator. If the original arrangement of cards in the deck was (top) 1, 2, 3, ..., m-1, m, m + 1, ..., n - 1, n, ..., 51, 52 (bottom) , then after the first procedure it becomes the following: (top) m - 1, m-2, ..., 1; m, m + 1, ..., n - 1, n, ..., 51, 52, (bottom), and after the second procedure - as follows: (top) n-1, n-2, ..., m+1, m, 1, 2, ..., m - 1; n, ..., 51, 52 (bottom).

Obviously, if you count n - m cards from the top, the next one will be 1, which is what is required.

Author: M.Gardner

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