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cards:red_black_relationship_principle [2014/01/18 07:39] tylerwilson |
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====== Red/Black Relationship Principle ====== | ====== Red/Black Relationship Principle ====== | ||

- | This principle makes use of the fact that there is an equal number of red and black cards in the deck. Thus when two piles are formed, one with x cards and the remainder with 52-x cards, then the number of red cards in x equals the number of black cards in the remainder plus 26-x. A special case is that the two piles are equal with 26 cards each, since in that case 26-x=0 and thus the red cards in one half equal the black cards in the other half. | + | This principle makes use of the fact that there is an equal number of red and black cards in the deck. Thus when two piles are formed, one with x cards and the remainder with 52 - x cards, then the number of red cards in x equals the number of black cards in the remainder plus 26 - x. A special case is that the two piles are equal, with 26 cards each, since in that case 26 - x = 0 and thus the red cards in one half equal the black cards in the other half. |

The roots of the trick can be found in an old puzzle involving the literal mixing of wine and water. David Singmaster has traced this puzzle back to //Mathematical Recreations And Problems Of Past And Present Times, Third Edition//, 1896, p. 25. The first application to magic, involving red and black playing cards, appears to be Stewart James's [[http://askalexander.org/display/12684/The+James+File/176|"Tapping a Brain Wave"]] and [[http://askalexander.org/display/12684/The+James+File/178|"The Psychic Pickpocket"]], both devised in 1938, but not published until //The James File//, 2000, p. 1147-1149. | The roots of the trick can be found in an old puzzle involving the literal mixing of wine and water. David Singmaster has traced this puzzle back to //Mathematical Recreations And Problems Of Past And Present Times, Third Edition//, 1896, p. 25. The first application to magic, involving red and black playing cards, appears to be Stewart James's [[http://askalexander.org/display/12684/The+James+File/176|"Tapping a Brain Wave"]] and [[http://askalexander.org/display/12684/The+James+File/178|"The Psychic Pickpocket"]], both devised in 1938, but not published until //The James File//, 2000, p. 1147-1149. |

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