Klondike (solitaire)

Klondike
Deck Single 52-card
Family Klondike-like
See also Glossary of solitaire

Klondike is a Patience game (solitaire card game). Many people refer to Klondike as patience or solitaire (North America).

Contents

Rules

Taking a shuffled standard 52-card deck of playing cards (without Jokers), one upturned card is dealt on the left of the playing area, then six downturned cards (from left to right). On top of the downturned cards, an upturned card is dealt on the left-most downturned pile, and downturned cards on the rest until all piles have an upturned card. The piles should look like the figure to the right.

The four foundations (light rectangles in the upper right of the figure) are built up by suit from Ace (low in this game) to King, and the tableau piles can be built down by alternate colors, and partial or complete piles can be moved if they are built down by alternate colors also. Any empty piles can be filled with a King or a pile of cards with a King. The point of the game is to build up a stack of cards starting with 2 and ending with King, all of the same suit. Once this is accomplished, the goal is to move this to a foundation, where the player has previously placed the Ace of that suit. Once the player has done this, they will have "finished" that suit- the goal being, of course, to finish all suits, at which time the player will have won.

There are different ways of dealing the remainder of the deck:

Odds of winning

For a "standard" game of Klondike (of the form: Draw 3, Re-Deal Infinite, Win 52) the number of solvable games (assuming all cards are known) is between 82-91.5%.[1] The number of unplayable games is 0.25%[2] and the number of games that cannot be won is between 8.5-18%.[1]

"Unplayable" means that no cards can be moved anywhere, even at the start of the game. This should not be confused with a game in which some cards are moved but later the game is "lost" because not all 52 cards can be moved to the foundations. A game that has been "won", in this case, has 52 cards placed to the foundations. So there are unplayable lost games, playable lost games, and won games.[2]

A modified version of the game called "Thoughtful Solitaire", in which the identity of all 52 cards is known, has a known solution strategy that works 82% of the time but requires significant computing power. Because the only difference between the two games (Klondike and Thoughtful) is the knowledge of card location, all Thoughtful games with solutions will also have solutions in Klondike (in theory). Similarly, all dead-ends in Thoughtful will be dead ends in Klondike.[1] However, the theoretical odds of winning a standard game of non-Thoughtful Klondike are currently unknown. It has been said that the inability for theoreticians to calculate these odds is "one of the embarrassments of applied probability".[3]

Scoring

Standard Scoring in the Windows Solitaire game is determined as follows:[4]

Move Points
Waste to Tableau 5
Waste to Foundation 10
Tableau to Foundation 10
Turn over Tableau card 5
Foundation to Tableau -15

Moving cards directly from the Waste stack to a Foundation awards 10 points. However, if the card is first moved to a Tableau, and then to a Foundation, then an extra 5 points are received for a total of 15. Thus in order to receive a maximum score, no cards should be moved directly from the Waste to Foundation.

Time can also play a factor in Windows Solitaire, if the Timed game option is selected. For every 10 seconds of play, 2 points are taken away. Bonus points are calculated with the formula of 700,000 / (seconds to finish) if the game takes more than 30 seconds. If the game takes less than 30 seconds, no bonus points are awarded.

Variations

Single 52-card Deck

Below are some variations of the game of Klondike:

Tarot Deck

The game can be played with a Tarot-style 78-card deck (such as a Tarot Nouveau). There are two ways of doing this. Each has 9 increasing tableau stacks.

Computerized versions

See also

Notes

  1. ^ a b c http://web.engr.oregonstate.edu/~afern/papers/solitaire.pdf
  2. ^ a b The Odds of Winning Klondike Solitaire
  3. ^ Diaconis, Persi. "Mathematics of Solitaire". Mathematics Department and Graduate School Colloquium Archive 1998-1999. http://www.math.washington.edu/Seminars/Archives/coll1998-1999.php. Retrieved 22 December 2011. 
  4. ^ Highest Score in Windows Solitaire, Microsoft Help and Support, KB101766.

External links