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Red and Black Cards is a puzzle in Professor Layton and the Curious Village.
Puzzle
- US Version
A jokerless deck of 52 cards sits on the table. The cards are shuffled thoroughly and divided into two stacks of 26 cards labeled A and B.
If you divide the cards as described above and check the contents of each pile 1,000 times, how many times could you expect the number of red cards in one pile to match the number of black cards in the other?
- UK Version
You have a jokerless deck of 52 cards, which have been shuffled thoroughly. You take the cards and divide them into two stacks of 26 cards each, labelled A and B.
If you divide the cards as described above and check the contents of each pile 1,000 times, how many times could you expect the number of red cards in one pile to match the number of black cards in the other?
Hints
Solution
Incorrect
Give it another shot.
Correct
You can expect a corresponding number of red and black cards to show up between the piles 1,000 times out of 1,000 tries.
- US Version
There are 26 cards of each color in a 52-card deck. If you form two piles of 26 randomly selected cards from this deck, the number of red cards in pile A is equal to 26 cards minus the number of black cards in pile A. In pile B, the situation is reversed. No matter how the cards are divided, the number of red cards in pile A will be equal to the number of black cards in pile B, and vice versa.
- UK Version
There are 26 cards of each colour in a 52-card deck. If you form two piles of 26 randomly selected cards from this deck, the number of red cards in pile A is equal to 26 cards minus the number of black cards in pile A. In pile B, the situation is reversed. No matter how the cards are divided, the number of red cards in pile A will be equal to the number of black cards in pile B and vice versa.
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