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{{otheruses4|the card game||Klondike}} {{short description|Solitaire card game}}
{{Infobox card game
|title = Klondike
|subtitle = A ] game
|image_link = GNOME Aisleriot Solitaire (cropped).png
|image_caption = Game setup
|alt_names = Canfield, Solitaire, Patience, Seven up, Sevens
|NamedVariants= ], ], ], ], ], ], ]
|deck = Single 52-card
|type = ]
|Family = Klondike
|odds = 18% to 43%
|playing_time = 10 min<ref name=Arnold>Arnold (2011), pp. 71–72.</ref>
|footnotes =
}}'''Klondike''' is a ] for one player and the best known and most popular version of the ] or ] family,<ref>"Klondike" (p.303) in ''Bicycle Official Rules of Card Games'' by Joli Quentin Kansil (ed.), 1999. {{ISBN|1-889752-06-1}}</ref> as well as one of the most challenging in widespread play.<ref name=Parlett>Parlett (1979), pp. 94–95.</ref> It has spawned numerous variants including ], Easthaven, ], Thumb and Pouch, Somerset or Usk and Whitehead, as well as the American variants of the games, ] and ]. The distinguishing feature of all variants is a triangular layout of the tableau, building in ascending sequence and packing in descending order.<ref name=Coops>Coops (1939), p. 10.</ref>


== Name ==
'''Klondike''' is a ] ]. Many people refer to Klondike as "solitaire".
In the U.S. and Canada, it is so well known that the term "'''Solitaire'''", in the absence of qualifiers, typically refers to Klondike.{{sfn|Parlett|1991|page=156-157}} Equally in the UK, it is often just known as "'''Patience'''".{{sfn|Parlett|1991|page=156-157}} Elsewhere the game is known as '''American Patience'''.<ref>Heinrich, Rudolf (2011). ''Die schönsten Patiencen'', 35th edition. Vienna: ]. p. 16-17. {{ISBN|978-3-99006-001-8}}.</ref>


Historically, Klondike was also called Canfield in America, perhaps because it was a casino game at the ] in ]; this is the name by which it became known in England. Today, however, Canfield is more usually the American name for the patience game called "]" in England,{{sfn|Parlett|1979|p=94/95}} which is a different game altogether. Likewise the rumour prevails that this other game was devised by ] even though Canfield himself called his game "Klondike".<ref>"Canfield" (p.425) in ''The Penguin Book of Card Games'' by David Parlett, Treasure Press, 1987. {{ISBN|1-85051-221-3}}</ref>

== History ==
The origins of the name Klondike are unknown; a handful of authors have speculated the name derives from the late 19th-century ], but no material evidence substantiates such a claim.<ref>{{cite web|url=http://theweek.com/articles/558738/brief-history-solitaire-patience-other-card-games|title=A brief history of Solitaire, Patience, and other card games for one|website=TheWeek|date=5 June 2015}}</ref><ref>{{cite book|title=150 solitaire games|author=Douglas Brown, Walter Brown Gibson|publisher=Barnes & Noble|year=1985|page=|isbn=0064637026|url=https://archive.org/details/150solitairegame1985gibs/page/132}}</ref> The earliest rules for the game known as Klondike today appear in the 1907 edition of ''Hoyle's Games'' under the name "Seven-Card Klondike". ''Hoyles'' calls it a simpler version of "Klondike", also described in the same book, but which turns out to be a gambling version of the game nowadays known as ] in the US and ] elsewhere in the world.<ref>''Hoyle's Games'' (1907), pp. 248–252.</ref>

In the 1913 edition of the so-called ''Official Rules of Card Games'',{{efn|As Parlett and others have pointed out, there is no such thing as 'official rules' for card games, except where there is a governing body for a particular game.}} Seven-Card Klondike has become Klondike, with the modification that the pack is run through one card at a time instead of three, and the original Klondike is now being called Canfield.<ref>''Official Rules of Card Games'' (1913), p. 225.</ref>

Klondike's inclusion in ] in the 1990s contributed significantly to its current popularity. It is considered the most popular version of solitaire.<ref>"Klondike" (p.303) in ''Bicycle Official Rules of Card Games'' by Joli Quentin Kansil (ed.), 1999. {{ISBN|1-889752-06-1}}</ref>


== Rules == == Rules ==
]
Klondike is played with a ], without ].


After shuffling, a ] of seven fanned piles of cards is laid from left to right. From left to right, each pile contains one more card than the last. The first and left-most pile contains a single upturned card, the second pile contains two cards, and so forth. The topmost card of each pile is turned face up.
].]]


The remaining cards form the ] and are placed facedown at the upper left of the layout.
Taking a 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 ] (light rectangles in the upper right of the figure) are ] from Ace to King, and the ] piles can be ], 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 at the top. The four ] (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 ]. Every face-up card in a partial pile, or a complete pile, can be moved, as a unit, to another tableau pile on the basis of its highest card. Any empty piles can be filled with a King, or a pile of cards with a King. The aim of the game is to build up four stacks of cards starting with Ace and ending with King, all of the same suit, on one of the four foundations, at which time the player would have won.


There are different ways of dealing the remainder of the deck: There are different ways of dealing the remainder of the deck from the stock to the ], including the following:
* Turning three cards at once to the waste, with no limit on passes through the deck.
* Turning three cards at once to the waste, with three passes through the deck.
* Turning one card at a time to the waste, with three passes through the deck.
* Turning one card at a time to the waste with only a single pass through the deck and playing it if possible.
* Turning one card at a time to the waste, with no limit on passes through the deck.


If the player can no longer make any meaningful moves, the game is considered lost. At this point, winning is impossible.
* Turning three cards at once to the ], either allowing three passes through the deck or placing no limit on passes through the deck.
* Turning three cards at once, reversing the order of each group of three as the cards are dealt.
* Turning only one card at a time, but only passing through the deck once.
* Turning only one card at a time, but placing no limit on passes through the deck.


== Computerized versions == == Probability of winning ==


]
* Michael A. Casteel's ] version of Klondike for the Macintosh was first released in 1984, and has been continually updated since.
]
* A software version of Klondike, simply named ], has been included in all versions of ] since Windows 3.0 (1990). However, Windows computers used in business or educational environments may have had the game removed to prevent distraction. The embedded versions of Microsoft Windows, originally called Windows CE and now called Windows Mobile, have also included Solitaire.
* ] and ] have solitaire applications (sol and kpat) since early versions.
* '']'' will include Klondike for ], for which the gamer will earn ].
* Klondike is one of the games ]'s "Extras" section.
* Klondike is available at online casinos using Cryptologic, Grand Virtual, Cantor Gaming, and 3Dice software.<ref name="ref1"></ref>


The probability of being able to win a game of Klondike with best-possible play is not known, and the inability of theoreticians to precisely calculate these odds has been referred to by mathematician ] as "one of the embarrassments of applied probability".<ref>{{cite web|last=Diaconis|first=Persi|title=Mathematics of Solitaire|url=http://www.math.washington.edu/Seminars/Archives/coll1998-1999.php|work=Mathematics Department and Graduate School Colloquium Archive 1998-1999|access-date=20 December 2021|archive-url=https://web.archive.org/web/20041216141330/http://www.math.washington.edu/Seminars/Archives/coll1998-1999.php |archive-date=16 December 2004 |url-status=dead}}</ref>
== 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%.<ref name="orst">http://web.engr.oregonstate.edu/~afern/papers/solitaire.pdf</ref> The number of unplayable games is 0.025%<ref name="joel"></ref> and the number of games that cannot be won is between 8.5-18%.<ref name="orst"/> An upper bound on the probability of winning can be found by considering a modified version of the game called "Thoughtful Solitaire" or "Thoughtful Klondike", in which location of all 52 cards is known.<ref name="orst">{{Cite web|url=http://web.engr.oregonstate.edu/~afern/papers/solitaire.pdf |archive-url=https://ghostarchive.org/archive/20221009/http://web.engr.oregonstate.edu/~afern/papers/solitaire.pdf |archive-date=2022-10-09 |url-status=live|title=Searching Solitaire in Real Time|date=September 2007|website=ICGA Journal|access-date=31 July 2020}}</ref>
The probability of winning Thoughtful Klondike (with draw three rules) has been estimated at 81.942% ± 0.081%.<ref>{{cite arXiv|eprint=1906.12314|last1=Blake|first1=Charlie|title=The Winnability of Klondike Solitaire and Many Other Patience Games|last2=Gent|first2=Ian P.|class=cs.AI|year=2019}}</ref><ref name=":0">{{Cite web |last1=Dang |first1=Nguyen |last2=Gent |first2=Ian P. |last3=Nightingale |first3=Peter |last4=Ulrich-Oltean |first4=Felix |last5=Waller |first5=Jack |date=25 August 2024 |title=Constraint Models for Relaxed Klondike Variants |url=https://jack.waller.systems/modref_2024/ModRef_2024_paper.pdf |access-date=26 August 2024 |website=ModRef 2024 (Girona)}}</ref> However the probability of winning regular Klondike is smaller, because sometimes there is no way of knowing the correct move without being able to see the downturned cards.


For the most common variant (turn three cards, unlimited passes), a number of studies have been made. A Klondike-playing AI using ] was able to solve up to 35% of randomly generated games.<ref>{{cite web|url=https://www.aaai.org/ocs/index.php/ICAPS/ICAPS09/paper/viewFile/724/1090|title=Lower Bounding Klondike Solitaire with Monte-Carlo Planning|last1=Bjarnason|first1=Ronald|last2=Fern|first2=Alan|last3=Tadepalli|first3=Prasad|date=2009|website=Proceedings of the Nineteenth International Conference on Automated Planning and Scheduling|access-date=2021-09-24|archive-date=2021-09-24|archive-url=https://web.archive.org/web/20210924183919/https://www.aaai.org/ocs/index.php/ICAPS/ICAPS09/paper/viewFile/724/1090|url-status=dead}}</ref> Another algorithm has a winning rate of 52% in “turn one” mode, and 18% in “turn three”.<ref>{{cite web|url=https://freesolitaire.win/strategy#remarks|title=How to win at Solitaire § Remarks|publisher=FreeSolitaire.win|date=2021|access-date=2024-10-03}}</ref> These results place a lower bound on the winnability percentage. One experiment found a skilled human player could win 189 out of 442 games (43%).<ref name="jsp">{{cite web|url=http://www.jupiterscientific.org/sciinfo/KlondikeSolitaireReport.html|title=The Application of Human Monte Carlo to the Chances of Winning Klondike Solitaire|publisher=Jupiter Scientific|date=2013}}</ref>
"Unplayable" means that no cards can be moved anywhere. This should not be confused with a game that has been "lost" after some moves have been made (but failing to move all cards 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.<ref name="joel"/>


''Hoyle's Rules of Games'' suggests the chances of winning as being 1 in 30 games, when there is only one pass through the deck.<ref>"Klondike" (p.195) in ''Hoyle's Rules of Games'' (3rd edition) by Philip D. Morehead (ed.), 2001. {{ISBN|0-451-20484-0}}</ref>
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.<ref name="orst"/>


== Variants ==
However, the 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 mathematics" <ref name="bjarnason"></ref>


== Scoring == ===Single deck===
Below are some single-pack variants of Klondike:
* ''']''' (US variant): the stock is dealt in batches of seven on reserve piles and every one is available. Furthermore, the bases of the foundations depend on the twenty-ninth card, which is dealt on the foundations.
* {{anchor|Easthaven}}''']''' (less commonly '''Aces Up''',{{efn|But not to be confused with ] which is a different patience, see Parlett and Morehead & Mott-Smith.}}) twenty-one cards are dealt into seven piles of three, two face-down and one face-up. A space in this game may only be filled by a king or sequence starting with a king (several rule sets simplify this and allow any card or sequence to be moved to a vacancy), and when a play goes to a standstill, seven new cards are dealt to the tableau, one top of each pile. Easthaven may be played with 2 or 3 decks. The two-deck version is either called Double Easthaven or Gypsy.
* '''Nine Across''': nine columns of cards are dealt, as opposed to seven in classic Klondike. The player can choose which cards to form the foundations; if one or more eights are exposed, for example, the player may decide to build on eights, and the piles are built up 8-9-10-J-Q-K-Ace-2-3-4-5-6-7. If eights are built on, sevens fill up spaces and so forth. The stock is dealt through one by one as many times as required.
* {{anchor|Somerset}}{{anchor|Usk}}'''Somerset''' or '''Usk''': as Klondike but all the cards are dealt out: 10 in the first row, 9 in the second, and so on until there are 3 in the last.
* {{anchor|Thumb and Pouch}}'''Thumb and Pouch''': a card in the tableau can be built upon another that is any suit other than its own (e.g. spades cannot be placed over spades) and spaces can be filled by any card or sequence.
* {{anchor|Whitehead}}'''Whitehead''': ''all'' cards are dealt face up, building is by color (red on red, black on black), a sequence made up of cards that are of the same suit can be moved as a unit, and a space can be filled by any card or sequence.<ref>"Whitehead" (p.81-83) in ''The Little Book of Solitaire'', Running Press, 2002. {{ISBN|0-7624-1381-6}}</ref>
* ''']''' (US variant): thirty cards are dealt into ten piles of three cards, two face down and one face up. A space in this game can be filled with any card or sequence.
* '''Kuipers''': as Klondike but with eight columns instead of seven, turning one card at a time to the waste, with no limit on passes through the deck. This lowers the probability of winning to approximately 5%{{Citation needed|date=June 2022}}.


=== Gambling variant ===
Standard Scoring in the Windows Solitaire game is determined as follows:<ref>, Microsoft Help and Support, KB101766.</ref>
In some casinos, Klondike is turned into a gambling game, by playing with the rule of dealing cards one at a time and going through the stock once. For example, a player would pay $50 to play, and the house would pay $5 for each card played to the foundations.<ref>"Las Vegas Solitaire" (p.304-305) in ''Bicycle Official Rules of Card Games'' by Joli Quentin Kansil (ed.), 1999. {{ISBN|1-889752-06-1}}</ref> This form of Klondike is sometimes called '''Las Vegas Solitaire'''.


=== Joker Solitaire ===
{| class="wikitable" border="1"
'''Joker Solitaire''' is a variant of Klondike created by ] which adds two jokers that serve as limited wild cards.<ref>"Joker Solitaire" (p.305-306) in ''Bicycle Official Rules of Card Games'' by Joli Quentin Kansil (ed.), 1999. {{ISBN|1-889752-06-1}}</ref>

=== Double Solitaire ===
Klondike has been turned into a two-player game under the name '''Double Solitaire'''.<ref>"Double Solitaire" (p.306-307) in ''Bicycle Official Rules of Card Games'' by Joli Quentin Kansil (ed.), 1999. {{ISBN|1-889752-06-1}}</ref> Players have their own packs and may not play to each other's tableaus but share their foundations. Players take turns until they are unable to play a card from their talons. The first player to play all 52 cards is the winner. Informally, "Double" Solitaire can be played as a party game with more than 2 players.

== Computerized versions ==
Digital versions of Klondike have helped popularize the game and offer advantages over playing with a physical deck. Notable examples of computerized versions include:
* A software version of Klondike named simply '']'' has been a regular inclusion in the ] operating system, beginning with Windows 3.0 in 1990. Initially Microsoft included the game as both a diversion and a teaching tool: for many users, ''Solitaire'' was their first introduction to using a ]. Microsoft officials stated in 1994 that "for years, Solitaire was the most-used application for Windows".<ref>{{cite news |last=Garreau |first=Joel |date=1994-03-09 |title=Office Minefield |newspaper=The Washington Post |url=https://www.washingtonpost.com/archive/lifestyle/1994/03/09/office-minefield/3b74132a-5f0a-455f-a04e-6171d023149b/ |access-date=2021-04-04}}</ref>
* In 1981, the ] published Mark Reid's implementation of Klondike for ], simply titled ''Solitaire''.<ref>{{cite web|title=Solitaire|url=http://www.atarimania.com/game-atari-400-800-xl-xe-solitaire_4788.html|website=Atari Mania|access-date=31 July 2020}}</ref>
* Michael A. Casteel's ] version of Klondike for the Macintosh was first released in 1984, and has been continually updated since.<ref>{{cite web|title=A little history|url=http://casteel.org/Pages/Narrative.html|website=casteel.org|access-date=31 July 2020}}</ref>
* Klondike was added to ] for ], a ] of ].<ref>{{Cite web|url=https://www.nintendolife.com/news/2020/05/nintendo_shares_a_handy_infographic_featuring_all_51_worldwide_classic_clubhouse_games|title=Nintendo Shares A Handy Infographic Featuring All 51 Worldwide Classic Clubhouse Games|website=Nintendo Life|date=25 May 2020|access-date=21 July 2020}}</ref>

Scoring in the Microsoft Windows Solitaire version of Klondike is as follows:<ref>, Microsoft Help and Support, KB101766.</ref>

{| class="wikitable"
|- |-
! Move ! Move
Line 60: Line 109:
|- |-
| Foundation to Tableau | Foundation to Tableau
| -15 | −15
|-
| Recycle waste when playing by ones
| −100 (minimum score is 0)
|} |}


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. Moving cards directly from the Waste stack to a Foundation scores 10 points. However, if the card is first moved to a Tableau, and then to a Foundation, an extra 5 points are scored making a total of 15. Thus, to score the most points, 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 without moving a card 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 ==


Time also plays a role, if the 'Timed game' option is selected. In this case, 2 points are deducted every 10 seconds. Bonus points are scored using the formula 700,000 ÷ (seconds to finish), if the game takes at least 30 seconds. If the game takes under 30 seconds, no bonus points are awarded.
Below are some variations of the game of Klondike:

* In ''']''', the stock is dealt in batches of seven on reserve piles and every one is available. Furthermore, the bases of the foundations depends on the twenty-ninth card, which is dealt on the foundations.
* In '''Thumb and Pouch''', a card in the tableau can be built upon another that is any suit other than its own (e.g. spades cannot be placed over spades) and spaces can be filled by any card or sequence.
* In '''Whitehead''', ''all'' cards are dealt face up, building is by color (red on red, black on black), a sequence made up of cards that are of the same suit can be moved as a unit, and a space can be filled by any card or sequence.
* In ''']''', thirty cards are dealt into ten piles of three cards, two faced down and one faced up. A space in this game can be filled with any card or sequence.
* In '''Easthaven''' (a.k.a. ''']'''), twenty-one cards are dealt into seven piles of three, two faced down and one faced up. A space in this game can only be filled by a king or any sequence starting with a king, and when a play goes to a standstill, seven new cards are dealt to the tableau, one top of each pile. Easthaven may include 2 or 3 card decks.
* In '''Nine Across''' nine columns of cards are dealt, as opposed to the seven of conventional Klondike. The player can choose which cards to form the foundations; if one or more eights are exposed, for example, the player may decide to build on eights, and the piles are built up 8-9-10-J-Q-K-Ace-2-3-4-5-6-7. If eights are built on, sevens fill up spaces and so forth. The stock is dealt through one by one as many times as required.


== See also == == See also ==
* ]
* ]
* ]
* ]


== References ==
* ]
{{reflist|30em}}

== Notes ==

<references/>

== External links ==


==Notes==
* The unpublished Monte Carlo result
{{notelist}}
* Analyzing a version of Klondike
*


== Literature ==
]
* Arnold, Peter (2011). ''Card Games for One''. Chambers.
]
* Coops, Helen Leslie (1939). ''100 Games of Solitaire.'' Whitman. 128 pp.
]
* ] and ] (2001). ''The Complete Book of Solitaire and Patience''. Foulsham, Slough.
]
* {{cite book |last1=Parlett |first1=David |author-link=David Parlett |title=The Penguin Book of Patience |date=1979 |publisher=Penguin |location=London |isbn=978-0-7139-1193-0 |url=https://books.google.com/books?id=nkjtAQAACAAJ |language=en}}
]
* {{cite book |last1=Parlett |first1=David |author-link=David Parlett |title=A History of Card Games |date=1991 |publisher=Oxford University Press |location=Oxford, England |isbn=0-19-282905-X}}


] {{Solitaire}}
]
]
]
]
]
]
]
]
]
]
]
]
]

Latest revision as of 18:19, 15 January 2025

Solitaire card game
Klondike
A patience game
Game setup
Alternative namesCanfield, Solitaire, Patience, Seven up, Sevens
Named variantsAgnes (Bernauer), Batsford, Easthaven, King Albert, Thumb and Pouch, Somerset or Usk, American Westcliff
TypeSimple packer
FamilyKlondike
DeckSingle 52-card
Playing time10 min
Odds of winning18% to 43%

Klondike is a card game for one player and the best known and most popular version of the patience or solitaire family, as well as one of the most challenging in widespread play. It has spawned numerous variants including Batsford, Easthaven, King Albert, Thumb and Pouch, Somerset or Usk and Whitehead, as well as the American variants of the games, Agnes and Westcliff. The distinguishing feature of all variants is a triangular layout of the tableau, building in ascending sequence and packing in descending order.

Name

In the U.S. and Canada, it is so well known that the term "Solitaire", in the absence of qualifiers, typically refers to Klondike. Equally in the UK, it is often just known as "Patience". Elsewhere the game is known as American Patience.

Historically, Klondike was also called Canfield in America, perhaps because it was a casino game at the Canfield Casino in Saratoga Springs, New York; this is the name by which it became known in England. Today, however, Canfield is more usually the American name for the patience game called "Demon" in England, which is a different game altogether. Likewise the rumour prevails that this other game was devised by Richard Canfield even though Canfield himself called his game "Klondike".

History

The origins of the name Klondike are unknown; a handful of authors have speculated the name derives from the late 19th-century Klondike Gold Rush, but no material evidence substantiates such a claim. The earliest rules for the game known as Klondike today appear in the 1907 edition of Hoyle's Games under the name "Seven-Card Klondike". Hoyles calls it a simpler version of "Klondike", also described in the same book, but which turns out to be a gambling version of the game nowadays known as Canfield in the US and Demon elsewhere in the world.

In the 1913 edition of the so-called Official Rules of Card Games, Seven-Card Klondike has become Klondike, with the modification that the pack is run through one card at a time instead of three, and the original Klondike is now being called Canfield.

Klondike's inclusion in Microsoft Windows in the 1990s contributed significantly to its current popularity. It is considered the most popular version of solitaire.

Rules

Video demonstration of Klondike

Klondike is played with a standard 52-card deck, without Jokers.

After shuffling, a tableau of seven fanned piles of cards is laid from left to right. From left to right, each pile contains one more card than the last. The first and left-most pile contains a single upturned card, the second pile contains two cards, and so forth. The topmost card of each pile is turned face up.

The remaining cards form the stock and are placed facedown at the upper left of the layout.

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. Every face-up card in a partial pile, or a complete pile, can be moved, as a unit, to another tableau pile on the basis of its highest card. Any empty piles can be filled with a King, or a pile of cards with a King. The aim of the game is to build up four stacks of cards starting with Ace and ending with King, all of the same suit, on one of the four foundations, at which time the player would have won.

There are different ways of dealing the remainder of the deck from the stock to the waste, including the following:

  • Turning three cards at once to the waste, with no limit on passes through the deck.
  • Turning three cards at once to the waste, with three passes through the deck.
  • Turning one card at a time to the waste, with three passes through the deck.
  • Turning one card at a time to the waste with only a single pass through the deck and playing it if possible.
  • Turning one card at a time to the waste, with no limit on passes through the deck.

If the player can no longer make any meaningful moves, the game is considered lost. At this point, winning is impossible.

Probability of winning

A lost game of Thoughtful Klondike (under draw three rules). The stock is shown at the upper-left. The upper section of the Tableau shows downturned cards, and the lower section shows the upturned cards. No cards can be moved except for two pointless moves: 2♥ from foundation to tableau, or 7♠ between tableau piles.
An alternate method for dealing a game of Thoughtful Klondike with physical cards. Across the top in the tableau the downturned cards are dealt sideways to discern them from the upturned cards. The stock is shown at the bottom. Full knowledge of card location allows the player to make informed decisions when multiple moves are possible.

The probability of being able to win a game of Klondike with best-possible play is not known, and the inability of theoreticians to precisely calculate these odds has been referred to by mathematician Persi Diaconis as "one of the embarrassments of applied probability".

An upper bound on the probability of winning can be found by considering a modified version of the game called "Thoughtful Solitaire" or "Thoughtful Klondike", in which location of all 52 cards is known. The probability of winning Thoughtful Klondike (with draw three rules) has been estimated at 81.942% ± 0.081%. However the probability of winning regular Klondike is smaller, because sometimes there is no way of knowing the correct move without being able to see the downturned cards.

For the most common variant (turn three cards, unlimited passes), a number of studies have been made. A Klondike-playing AI using Monte Carlo tree search was able to solve up to 35% of randomly generated games. Another algorithm has a winning rate of 52% in “turn one” mode, and 18% in “turn three”. These results place a lower bound on the winnability percentage. One experiment found a skilled human player could win 189 out of 442 games (43%).

Hoyle's Rules of Games suggests the chances of winning as being 1 in 30 games, when there is only one pass through the deck.

Variants

Single deck

Below are some single-pack variants of Klondike:

  • Agnes (US variant): the stock is dealt in batches of seven on reserve piles and every one is available. Furthermore, the bases of the foundations depend on the twenty-ninth card, which is dealt on the foundations.
  • Easthaven (less commonly Aces Up,) twenty-one cards are dealt into seven piles of three, two face-down and one face-up. A space in this game may only be filled by a king or sequence starting with a king (several rule sets simplify this and allow any card or sequence to be moved to a vacancy), and when a play goes to a standstill, seven new cards are dealt to the tableau, one top of each pile. Easthaven may be played with 2 or 3 decks. The two-deck version is either called Double Easthaven or Gypsy.
  • Nine Across: nine columns of cards are dealt, as opposed to seven in classic Klondike. The player can choose which cards to form the foundations; if one or more eights are exposed, for example, the player may decide to build on eights, and the piles are built up 8-9-10-J-Q-K-Ace-2-3-4-5-6-7. If eights are built on, sevens fill up spaces and so forth. The stock is dealt through one by one as many times as required.
  • Somerset or Usk: as Klondike but all the cards are dealt out: 10 in the first row, 9 in the second, and so on until there are 3 in the last.
  • Thumb and Pouch: a card in the tableau can be built upon another that is any suit other than its own (e.g. spades cannot be placed over spades) and spaces can be filled by any card or sequence.
  • Whitehead: all cards are dealt face up, building is by color (red on red, black on black), a sequence made up of cards that are of the same suit can be moved as a unit, and a space can be filled by any card or sequence.
  • Westcliff (US variant): thirty cards are dealt into ten piles of three cards, two face down and one face up. A space in this game can be filled with any card or sequence.
  • Kuipers: as Klondike but with eight columns instead of seven, turning one card at a time to the waste, with no limit on passes through the deck. This lowers the probability of winning to approximately 5%.

Gambling variant

In some casinos, Klondike is turned into a gambling game, by playing with the rule of dealing cards one at a time and going through the stock once. For example, a player would pay $50 to play, and the house would pay $5 for each card played to the foundations. This form of Klondike is sometimes called Las Vegas Solitaire.

Joker Solitaire

Joker Solitaire is a variant of Klondike created by Joli Quentin Kansil which adds two jokers that serve as limited wild cards.

Double Solitaire

Klondike has been turned into a two-player game under the name Double Solitaire. Players have their own packs and may not play to each other's tableaus but share their foundations. Players take turns until they are unable to play a card from their talons. The first player to play all 52 cards is the winner. Informally, "Double" Solitaire can be played as a party game with more than 2 players.

Computerized versions

Digital versions of Klondike have helped popularize the game and offer advantages over playing with a physical deck. Notable examples of computerized versions include:

Scoring in the Microsoft Windows Solitaire version of Klondike is as follows:

Move Points
Waste to Tableau 5
Waste to Foundation 10
Tableau to Foundation 10
Turn over Tableau card 5
Foundation to Tableau −15
Recycle waste when playing by ones −100 (minimum score is 0)

Moving cards directly from the Waste stack to a Foundation scores 10 points. However, if the card is first moved to a Tableau, and then to a Foundation, an extra 5 points are scored making a total of 15. Thus, to score the most points, no cards should be moved directly from the Waste to Foundation.

Time also plays a role, if the 'Timed game' option is selected. In this case, 2 points are deducted every 10 seconds. Bonus points are scored using the formula 700,000 ÷ (seconds to finish), if the game takes at least 30 seconds. If the game takes under 30 seconds, no bonus points are awarded.

See also

References

  1. Arnold (2011), pp. 71–72.
  2. "Klondike" (p.303) in Bicycle Official Rules of Card Games by Joli Quentin Kansil (ed.), 1999. ISBN 1-889752-06-1
  3. Parlett (1979), pp. 94–95.
  4. Coops (1939), p. 10.
  5. ^ Parlett 1991, p. 156-157.
  6. Heinrich, Rudolf (2011). Die schönsten Patiencen, 35th edition. Vienna: Perlen-Reihe. p. 16-17. ISBN 978-3-99006-001-8.
  7. Parlett 1979, p. 94/95.
  8. "Canfield" (p.425) in The Penguin Book of Card Games by David Parlett, Treasure Press, 1987. ISBN 1-85051-221-3
  9. "A brief history of Solitaire, Patience, and other card games for one". TheWeek. 5 June 2015.
  10. Douglas Brown, Walter Brown Gibson (1985). 150 solitaire games. Barnes & Noble. p. 132. ISBN 0064637026.
  11. Hoyle's Games (1907), pp. 248–252.
  12. Official Rules of Card Games (1913), p. 225.
  13. "Klondike" (p.303) in Bicycle Official Rules of Card Games by Joli Quentin Kansil (ed.), 1999. ISBN 1-889752-06-1
  14. Diaconis, Persi. "Mathematics of Solitaire". Mathematics Department and Graduate School Colloquium Archive 1998-1999. Archived from the original on 16 December 2004. Retrieved 20 December 2021.
  15. "Searching Solitaire in Real Time" (PDF). ICGA Journal. September 2007. Archived (PDF) from the original on 2022-10-09. Retrieved 31 July 2020.
  16. Blake, Charlie; Gent, Ian P. (2019). "The Winnability of Klondike Solitaire and Many Other Patience Games". arXiv:1906.12314 .
  17. Dang, Nguyen; Gent, Ian P.; Nightingale, Peter; Ulrich-Oltean, Felix; Waller, Jack (25 August 2024). "Constraint Models for Relaxed Klondike Variants" (PDF). ModRef 2024 (Girona). Retrieved 26 August 2024.
  18. Bjarnason, Ronald; Fern, Alan; Tadepalli, Prasad (2009). "Lower Bounding Klondike Solitaire with Monte-Carlo Planning". Proceedings of the Nineteenth International Conference on Automated Planning and Scheduling. Archived from the original on 2021-09-24. Retrieved 2021-09-24.
  19. "How to win at Solitaire § Remarks". FreeSolitaire.win. 2021. Retrieved 2024-10-03.
  20. "The Application of Human Monte Carlo to the Chances of Winning Klondike Solitaire". Jupiter Scientific. 2013.
  21. "Klondike" (p.195) in Hoyle's Rules of Games (3rd edition) by Philip D. Morehead (ed.), 2001. ISBN 0-451-20484-0
  22. "Whitehead" (p.81-83) in The Little Book of Solitaire, Running Press, 2002. ISBN 0-7624-1381-6
  23. "Las Vegas Solitaire" (p.304-305) in Bicycle Official Rules of Card Games by Joli Quentin Kansil (ed.), 1999. ISBN 1-889752-06-1
  24. "Joker Solitaire" (p.305-306) in Bicycle Official Rules of Card Games by Joli Quentin Kansil (ed.), 1999. ISBN 1-889752-06-1
  25. "Double Solitaire" (p.306-307) in Bicycle Official Rules of Card Games by Joli Quentin Kansil (ed.), 1999. ISBN 1-889752-06-1
  26. Garreau, Joel (1994-03-09). "Office Minefield". The Washington Post. Retrieved 2021-04-04.
  27. "Solitaire". Atari Mania. Retrieved 31 July 2020.
  28. "A little history". casteel.org. Retrieved 31 July 2020.
  29. "Nintendo Shares A Handy Infographic Featuring All 51 Worldwide Classic Clubhouse Games". Nintendo Life. 25 May 2020. Retrieved 21 July 2020.
  30. Highest Score in Windows Solitaire, Microsoft Help and Support, KB101766.

Notes

  1. As Parlett and others have pointed out, there is no such thing as 'official rules' for card games, except where there is a governing body for a particular game.
  2. But not to be confused with Aces Up which is a different patience, see Parlett and Morehead & Mott-Smith.

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