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| cards:red_black_relationship_principle [2014/01/18 08:39] – tylerwilson | cards:red_black_relationship_principle [2014/04/15 20:51] – stephenminch | ||
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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 // | 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 // | ||