Flush In Crib Hand

• Flush In Crib Hand
• Flush In Your Hand Crib
• How Do You Count A Flush In Crib
• Can You Peg A Flush In Cribbage

In cribbage, the probability and maximum and minimum score of each type of hand can be computed.

Distinct hands[edit]

• There are 12,994,800 possible hands in Cribbage: 52 choose 4 for the hand, and any one of the 48 left as the starter card.

These are standard hand rankings for most poker games and apply to all high-hand poker variations including Texas Hold'em, Omaha and Stud. You'll find a printable poker hand rankings chart below the hand rankings as well as answers to some of the most frequently asked questions about poker hands and poker hand ranking. Easily converts the Emery 4-in-1 Crib into a toddler bed. Available in a variety of finishes. Easily transforms the Emery 4-in-1 Crib into a full size bed. A supportive, healthy and comfy crib and toddler mattress for your baby from infancy to toddlerhood. A stylish and spacious dresser for all of your baby storage needs.

• Interestingly, a hand with two 5s also can score only two points; an example is 2 5 5 7 9, which would be most likely a crib hand, and would not score a flush because of the pair, although said hand can be a non-crib four-card flush if either 5 is the starter. A hand with three 5s scores at least eight points; a hand with all four 5s scores 20.
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${\displaystyle (\genfrac{}{}{0ex}{}{52}{4})\times 48=12,994,800}$

• Another, and perhaps more intuitive way of looking at it, is to say that there are 52 choose 5 different 5-card hands, and any one of those 5 could be the turn-up, or starter card.
  Therefore, the calculation becomes:

${\displaystyle (\genfrac{}{}{0ex}{}{52}{5})\times 5=12,994,800}$

• 1,009,008 (approximately 7.8%) of these score zero points,^[1] or 1,022,208 if the hand is the crib, as the starter must be the same suit as the crib's four cards for a flush.
• Not accounting for suit, there are 14,715 unique hands.^[2]

Maximum scores[edit]

• The highest score for one hand is 29: 555J in hand with the starter 5 of the same suit as the Jack (8 points for four J-5 combinations, 8 points for four 5-5-5 combinations, 12 points for pairs of 5s and one for his nob).
• The second highest score is 28 (hand and starter together comprise any ten-point card plus all four 5s, apart from the 29-point hand above).
• The third highest score is 24 (A7777, 33339, 36666, 44447, 44556, 44566, 45566, 67788 or 77889).
• The highest score as a dealer from the hand and crib is 53. The starter must be a 5, the hand must be J555, with the Jack suit matching the starter (score 29), and the crib must be 4466 (score 24), or vice versa.
• The highest number of points possible (excluding pegging points) in one round is 77. The dealer must score 53, the opponent must then have the other 4466 making another 24 point hand for a total of 77.
• The highest number of points from a hand that has a potential to be a '19 hand' is 15. It is a crib hand of one suit, 46J and another ten card, with a 5 of that suit cut up. The points are 15 for 6, a run for 9, nobs for 10, and a flush for 15. Any of the following cards in an unlike suit yields a '19 hand'; 2,3,7,8,and an unpaired ten card.
• The most points that can be pegged by playing one card is 15, by completing a double pair royal on the last card and making the count 15: 12 for double pair royal, 2 for the 15, and 1 for the last card. This can happen in two ways in a two-player game. The non-dealer must have two ten-value cards and two 2s, and the dealer must have one ten-value card and 722, in which case the play must go: 10-10-10-go; 7-2-2-2-2. For example:

• Alternatively, the players can each have two deuces, with one also holding A-4 and the other two aces. Then play might go 4-A-A-A-2-2-2-2.
• The maximum number of points that can be scored in a single deal by the dealer in a two player game is 78 (pegging + hand + crib):
  Non-dealer is dealt 3 3 4 4 5 J and Dealer is dealt 3 3 4 4 5 5. Non-dealer discards J 5 to the crib (as ill-advised as this may be). Dealer discards 5 5 to the crib. Note that the J is suited to the remaining 5. The remaining 5 is cut.
  Play is 3 3 3 3 4 4 4 4 go. The dealer scores 29 total peg points.
  The dealer's hand is 3 3 4 4 5 = 20
  The dealer's crib is J(nobs) 5 5 5 5 = 29
  The total score for the dealer is 29 + 20 + 29 = 78.
  Note that the correct play for both players is to keep 3 3 4 5 worth 10 points and discarding J 4 and 4 5 to the crib respectively, meaning in reality, this hand would never take place. A more realistic hand would be both players being dealt 3 3 4 4 J J with both discarding J J and a 5 cut. In this case, with pegging as described above, the total score would be 20 (hand) + 21 (crib) + 29 (pegging) = 70 points.
• The maximum number of points that can be scored in a single deal by the non-dealer in a two player game is 48 (pegging + hand), with the following example :
  Non-dealer is dealt 5 5 4 4 crib crib and Dealer is dealt 4 4 5 9 crib crib. Cut card is a 6.
  Play is 5 5 5 4 4 4 4, with the Non-dealer pegging 24. The Non-dealer scores 24 in the hand for a total of 48 points.
• The maximum number of points that can be scored with a four-card flush is 21, which is achieved with a hand of 5 5 10 J Q or 5 5 J Q K: a pair, six fifteens, a three-card sequence, and the flush. A five-card flush of 5 10 J Q K scores 18 if the Jack is not the starter.

Minimum scores[edit]

• The dealer in two-player, 6-card cribbage will always peg at least one point during the play (the pegging round), unless the opponent wins the game before the pegging is finished. If non-dealer is able to play at each turn then dealer must score at least one for 'last'; if not, then dealer scores at least one for 'go'.
• While 19 is generally recognized as 'the impossible hand', meaning that there is no combination of 5 cards that will produce a score of 19 points, scores of 25, 26, 27, and greater than 29 are also impossible in-hand point totals.^[1] Sometimes if a player scores 0 points in their hand they will claim they have a '19-point hand.'^[3]

Minimum while holding a 5[edit]

If a player holds a 5 in their hand, that player is guaranteed at least two points, as shown below:

A 0-point hand must have five distinct cards without forming a run or a fifteen combination. If such a hand includes a 5, it cannot hold a 10 or a face card. It also cannot include both an A and a 9; both a 2 and an 8; both a 3 and a 7; or both a 4 and a 6. Since four more cards are needed, exactly one must be taken from each of those sets. Let us run through the possible choices:

• If the hand includes a 9, it cannot hold a 6, so it must hold a 4. Having both a 4 and a 9, it cannot hold a 2, so it must hold an 8. Holding both a 4 and an 8, it cannot hold a 3, so it must hold a 7. But now the hand includes a 7-8 fifteen, which is a contradiction.
• Therefore, the hand must include an A. If the hand includes a 7, it now cannot contain an 8, as that would form a 7-8 fifteen. However it cannot hold a 2, as that would form a 7-5-2-A fifteen. This is a contradiction.
• Therefore, the hand must include a 3. Either a 2 or a 4 would complete a run, so the hand must therefore include a 6 and an 8. But this now forms an 8-6-A fifteen, which is a contradiction.

Therefore, every set of five cards including a 5 has a pair, a run, or a fifteen, and thus at least two points.

Interestingly, a hand with two 5s also can score only two points; an example is 2 5 5 7 9, which would be most likely a crib hand, and would not score a flush because of the pair, although said hand can be a non-crib four-card flush if either 5 is the starter. A hand with three 5s scores at least eight points; a hand with all four 5s scores 20 points and is improved only with a 10, J, Q, or K (scoring 28 except for the 29 hand previously described.)

It is also true that holding both a 2 and a 3, or an A and a 4 (pairs of cards adding up to five) also guarantees a non-zero score:

• If a hand includes both a 2 and a 3 and is to score 0 points, it cannot have a face card, an A, a 4, or a 5. This requires three cards from the 6, 7, 8, and 9, and any such selection will include a fifteen.
• If a hand includes both an A and a 4 and is to score 0 points, it cannot have a face card or a 5. It also cannot have both a 2 and a 3; both a 6 and a 9; or both a 7 and an 8. If the hand includes a 2, it cannot have a 9 (9-4-2 fifteen). Thus it must have a 6. It then cannot have an 8 (8-4-2-A fifteen) or a 7 (7-6-2 fifteen). If, however, the hand includes a 3, it cannot include an 8 (8-4-3 fifteen) or a 7 (7-4-3-A fifteen). These are all contradictions, so every hand containing both an A and a 4 scores at least two points.

Odds[edit]

• The table below assumes the card(s) discarded to the crib are randomly chosen. Given this assumption, the odds of getting a 28 hand in a two-player game are about 1 in 170984, and a perfect 29 hand 1 in 3,248,700.^[3]

• However, if we assume that the player will always keep J555 if those cards are included in the hand, the odds of getting a perfect 29 hand starting with a six-card hand are 1 in 216,580, while the odds after discarding from a five-card hand are 1 in 649,740.^[4]

Scoring Breakdown, assuming random discard(s) to the crib^[1]

• Mean = 4.7692
• Standard deviation = 3.1254
• Skewness = 0.9039
• Excess kurtosis = 1.4599

Note that these statistics do not reflect frequency of occurrence in 5 or 6-card play. For 6-card play the mean for non-dealer is 7.8580 with standard deviation 3.7996, and for dealer is 7.7981 and 3.9082 respectively. The means are higher because the player can choose those four cards that maximize their point holdings. For 5-card play the mean is about 5.4.

Slightly different scoring rules apply in the crib - only 5-point flushes are counted, in other words you need to flush all cards including the turn-up and not just the cards in the crib. Because of this, a slightly different distribution is observed:

Scoring Breakdown (crib/box hands only)

• Mean = 4.7348

As above, these statistics do not reflect the true distributions in 5 or 6 card play, since both the dealer and non-dealer will discard tactically in order to maximise or minimise the possible score in the crib/box.

Card combinations[edit]

• A hand of four aces (AAAA) is the only combination of cards wherein no flip card will add points to its score.
• There are 71 distinct combinations of card values that add to 15:

Flush In Crib Hand

Hand and Crib statistics[edit]

If both the hand and the crib are considered as a sum (and both are drawn at random, rather than formed with strategy as is realistic in an actual game setting) there are 2,317,817,502,000 (2.3 trillion) 9-card combinations.${\displaystyle (\genfrac{}{}{0ex}{}{52}{4})\times (\genfrac{}{}{0ex}{}{48}{4})\times 44=2,317,817,502,000}$

• As stated above, the highest score a dealer can get with both hand and crib considered is 53.
• The only point total between 0 and 53 that is not possible is 51.

Scoring Breakdown

• Mean: 9.50397
• Median: 9
• Mode: 8

See also[edit]

References[edit]

1. ^ ^abcSteven S. Lumetta (2007-05-15). 'Amusing Cribbage Facts'. Archived from the original on 2018-01-16. Retrieved 2008-03-03.
2. ^Tim Wood (2008-08-05). 'All Possible Cribbage Hands'. Archived from the original on 2013-02-09. Retrieved 2008-08-05.
3. ^ ^abWeisstein, Eric W. 'Cribbage'. MathWorld. Retrieved 2008-03-02. All scores from 0 to 29 are possible, with the exception of 19, 25, 26, and 27. For this reason, hand scoring zero points is sometimes humorously referred to as a '19-point' hand.
4. ^Cribbage Corner (2008-05-05). 'Perfect cribbage hand odds'. Retrieved 2008-05-05.

Cribbage, or crib, is a card game traditionally for two players, but commonly played with three, four or more, that involves playing and grouping cards in combinations which gain points.

Cribbage has several distinctive features: the cribbage board used for score-keeping, the eponymouscrib, box, or kitty (in parts of Canada)—a separate hand counting for the dealer—two distinct scoring stages (the play and the show) and a unique scoring system including points for groups of cards that total fifteen. It has been characterized as 'Britain's national card game' and the only one legally playable on licensed premises (pubs and clubs) without requiring local authority permission.^[1]

The game has relatively few rules yet yields endless subtleties during play. Tactical play varies, depending on which cards one's opponent has played, how many cards in the remaining deck will help the hand one holds, and what one's position on the board is. A game may be decided by only a few points—or even a single point—and the edge often goes to an experienced player who utilizes strategy, including calculating odds and making decisions based on the relative positions of players on the board.

Both cribbage and its close relative Costly Colours are descended from the old English card game of noddy. Cribbage added the distinctive feature of a crib and changed the scoring system for points, whereas Costly Colours added more combinations but retained the original noddy scoring scheme.

History[edit]

According to John Aubrey, cribbage was created by the English poet Sir John Suckling in the early 17th century, as a derivation of the game 'noddy'. While noddy has become a historical, rarely-played game,^[2] cribbage has continued unchanged as a popular game in the English-speaking world.^[3] The objective of the game is to be the first player to score a target number of points, typically 61 or 121. Points are scored for showing certain jacks, playing the last card, for card combinations adding up to 15 or 31, and for pairs, triples, quadruples (cards of the same rank), runs (sequences of consecutive numbers irrespective of suit) and flushes (sets of cards of the same suit).^[4]

Cribbage was played by American submariners,^[5] serving as a common pastime. The wardroom of the oldest active submarine in the United States Pacific Fleet carries on board the personal cribbage board of World War II submarine commander and Medal of Honor recipient, Rear Admiral Dick O'Kane, and upon the boat's decommissioning, the board is transferred to the next oldest boat.^[6]

Rules[edit]

Flush In Your Hand Crib

Play proceeds through a succession of 'hands', each hand consisting of a 'deal', 'the play' and 'the show'. At any time during any of these stages, if a player reaches the target score (usually 121), play ends immediately with that player being the winner of the game. This can even happen during the deal, since the dealer scores if a jack is cut as the starter.

Deal[edit]

The players cut for first deal, and the person who cuts the lowest card deals. The dealer shuffles and deals five or six cards to each player, depending on the number of players. For two players, each is dealt six cards; for three or four players, each is dealt five cards. In the case of three players, a single card is dealt face down in the centre of the table to start the crib. Once the cards have been dealt, each player chooses four cards to retain, then discards the other one or two face-down to form the 'crib' (also called the box), which will be used later by the dealer.^[7]

How Do You Count A Flush In Crib

At this point, each player's hand and the crib will contain exactly four cards. The player on the dealer's left cuts the remaining deck, and the dealer reveals the top card, called the 'starter' or the 'cut'.^[8] If this card is a jack, the dealer scores two points for 'his heels' or 'his nibs'.

Play[edit]

Starting with the player on the dealer's left, the players each in turn lay one card face up on the table in front of them, stating the count—that is, the cumulative value of the cards that have been laid (for example, the first player lays a five and says 'five', the next lays a six and says 'eleven', and so on)—without the count going above 31. Face cards (kings, queens, and jacks) count as 10. The cards are not laid in the centre of the table as, at the end of the 'play', each player needs to pick up the cards they have laid.

Players score points during the play as follows:

• 15 – For causing the count to reach exactly 15 a player scores two points, then play continues.
• Pair – Completing a pair (two of a kind) scores two points.
  • Three of a kind is the same as three different pairs, or 6 points.
  • Four of a kind is 6 different pairs, or 12 points.
• A run of three or more cards (consecutively played, but not necessarily in order) scores the number of cards in the run.

If a player cannot play without causing the count to exceed 31, they call 'Go'. Continuing with the player on their left, the other player(s) continue(s) the play until no one can play without the count exceeding 31. A player is obliged to play a card unless there is no card in their hand that can be played without the count exceeding 31 (one cannot voluntarily pass). Once 31 is reached or no one is able to play, the player who played the last card scores one point if the count is still under 31 and two if it is exactly 31. The count is then reset to zero and those players with cards remaining in their hands repeat the process starting with the player to the left of the player who played the last card. When all players have played all of their cards the game proceeds to the 'show'.

Can You Peg A Flush In Cribbage

Players choose the order in which to lay their cards in order to maximize their scores; experienced players refer to this as either good or poor 'pegging' or 'pegsmanship'. If one player reaches the target (usually 61 or 121), the game ends immediately and that player wins. When the scores are level during a game, the players' pegs will be side by side, and it is thought that this gave rise to the phrase 'level pegging'.^[9]

Show[edit]

Once the play is complete, each player in turn, starting with the player on the left of the dealer, displays their own hand on the table and scores points based on its content in conjunction with the starter card. Points are scored for:

• Combinations of any number of cards totalling fifteen
• Runs
• Pairs (Multiple pairs are scored pair by pair but may be referred to as three or four of a kind.)
• Flush (A four-card flush scores four and cannot include the starter card; a five-card flush scores five.)
• Having a jack of the same suit as the starter card ('one for his nob [or nobs or nibs]', sometimes called the 'right' jack)

The dealer scores their hand last and then turns the cards in the crib face up. These cards are then scored by the dealer as an additional hand, also in conjunction with the starter card. Unlike the dealer's own hand, the crib cannot score a four-card flush, but it can score a five-card flush with the starter.

All scores from 0 to 29 are possible, with the exception of 19, 25, 26 and 27.^[10] Players may refer colloquially to a hand scoring zero points as a “nineteen hand”.^[11]

Muggins[edit]

Muggins (also known as cut-throat) is a commonly used but optional rule, which must be announced before game play begins. If a player fails to claim their full score on any turn, the opponent may call out 'Muggins' and peg any points overlooked by the player.^[12]

Match[edit]

A match (much like tennis) consists of more than one game, often an odd number. The match points are scored on the cribbage board using the holes reserved for match points. On a spiral board, these are often at the bottom of the board in a line with 5 or 7 holes. On a conventional board, they are often in the middle of the board or at the top or bottom.

In a two-player game of cribbage, a player scores one match point for winning a game. Their opponent will start as dealer in the next game. If a player lurches (British) or skunks (US) their opponent (reaches 121 points before their opponent scores 91 points), that player wins two match points for that game. If a player double skunks their opponent (reaches 121 points before their opponent reaches 61), they score three or four match points for the game, depending on local convention.^[13] If a player triple skunks their opponent (reaches 121 points before their opponent reaches 31 points), they automatically win the match. Double and triple skunks are not included in the official rules of cribbage play and are optional. There are several different formats for scoring match points.

Cribbage board[edit]

Visually, cribbage is known for its scoring board—a series of holes ('streets') on which the score is tallied with pegs (also known as 'spilikins').^[14] Scores can be kept on a piece of paper, but a cribbage board is almost always used, since scoring occurs throughout the game, not just at the conclusion of hands as in most other card games.

Points are registered as having been scored by 'pegging' along the crib board. Two pegs are used in a leapfrog fashion, so that if a player loses track during the count one peg still marks the previous score. Some boards have a 'game counter' with many additional holes for use with a third peg to count the games won by each side.

There are several designs of crib board:

• The classic design is a flat wooden board approximately 250–300 mm (10–12 in) by 70–80 mm (3–4 in) and 10–20 mm (0.4–0.8 in) deep. There are two sets of 60 holes (30 'out' and 30 'back') divided into 5 point sections. A pegging-out hole in the middle at each end allows the board to be used in either direction. One player or team scores on one set of 60 holes and the other player or team scores on the second set. Different arrangements are made for three player games.
• A relatively old design is that of an equilateral triangle with two rows of forty holes on each side. These boards did not generally include extra pegging-out holes or holes to count games.
• A newer design has three or four rows of 120 holes in a 'paperclip' shape (with a pegging-out hole at the end) and is often brightly coloured. It is best suited to games played to 121, though it can also be used for 61-point games.
• A tournament long board is used in sanctioned tournaments in the American Cribbage Congress and consists of four rows of 60 pegs (two rows for each player), no number markings or five point segments, and only a mark indicating the skunk line. Movement around the board starts on the outside and ends on the inside. Players start and end in the same hole.
• Another common variation is based on features of the highest-scoring cribbage hand. The board takes the form of the number 29 (the highest possible score), with the pegging rows following the contour of the numbers '2' and '9'. The design can sometimes include a background image of three fives and a jack, with the fourth five offset—the 'perfect hand' giving that score. The count being 8 combinations of 15 for 16 points, 6 pairs of 2 for 12 points and a matching 'nobs' jack (matching the cut card) for 1 totalling 29.

Each of the four 30-point divisions of the cribbage board (1–30, 31–60, 61–90, and 91–120) is colloquially called a 'street'. Being at 15 points would be on first street, being at 59 points would be on second street, etc.

Noddy and costly colours[edit]

The ancestor of cribbage is noddy, a game for two or four players, each receiving just three cards and playing and scoring in a similar manner to modern cribbage. However, instead of scoring 2 points for reaching 15 or 31 (called hitter), players scored the number of constituent cards making up the point. In addition, there was originally a third point at 25. Players also scored for pairs, prials, runs and flushes as in cribbage. There was no crib and game was 31.

Costly colours may have developed separately from noddy, as it retains several original features that are no longer part of cribbage. Again, only three cards are dealt, there is no crib and it uses the same scoring scheme for points at 15, 25 and 31 or hitter. What is new is that deuces play a similar role to jacks and that players may score for colours—i.e., having three or four cards of the same suit or colour. Four cards of the same suit are costly colours, hence the name.

See also[edit]

• Cribbage Solitaire and Cribbage Square Solitaire, two solitaire card games based on Cribbage
• Hounds and Jackals, an Ancient Egyptian game, which uses a similar board
• Kings Cribbage, a game with cribbage hands being constructed crossword-style
• American Cribbage Congress, sanctioning body for cribbage clubs and tournaments in the US

References[edit]

1. ^Parlett, David. The Penguin Book of Card Games. London: Penguin (2008), p. 423. ISBN978-0-141-03787-5
2. ^Cash, Cassidy (12 January 2019). 'Experience Shakespeare: How to Play Noddy, a 16th Century Card Game'. youtube. Retrieved 11 May 2019.
3. ^Aubrey, John (1898). Andrew Clark (ed.). Brief Lives chiefly of Contemporaries set down John Aubrey between the Years 1669 and 1696, Volume II. Clarendon Press. p. 245.
4. ^'American Cribbage Congress Website'. www.cribbage.org. Retrieved 11 May 2019.
5. ^Klemenc, Stacey Enesey. 'Cribbage: It's not just a game, it's an obsession'. Retrieved 22 July 2018.
6. ^'The O'Kane Cribbage Board Is Passed Down'. US Department of Defense. 8 November 2019. Retrieved 23 February 2020.
7. ^Parlett, David (October 1987). The Penguin Book of Card Games. Treasure Press. ISBN1-85051-221-3.
8. ^'The Mechanics of Playing Cribbage'. The American Cribbage Congress. 2004-10-01. Retrieved 2008-03-01.
9. ^Oxford Dictionaries, OxfordWords blog http://blog.oxforddictionaries.com/2012/11/popular-idioms-explained/ extracted 31 Oct 2014
10. ^Steven S. Lumetta (2007-05-15). 'Amusing Cribbage Facts'. Archived from the original on 2008-05-16. Retrieved 2008-03-03.
11. ^Cribbage Corner (2008-05-05). 'The nineteen hand at cribbage'. Retrieved 2008-05-05.
12. ^'Rule 10. Muggins'.
13. ^Cribbage Corner. 'Cribbage rules – winning the game'. Retrieved 2015-02-23.
14. ^'Spilikin'. Webster's Revised Unabridged Dictionary. Retrieved 2008-03-08. One of a number of small pieces or pegs of wood, ivory, bone, or other material, for playing a game, or for counting the score in a game, as in cribbage.

Further reading[edit]

• Scarne, John (1965). Scarne on Card Games. Dover Publications. pp. 395–404. ISBN0-486-43603-9.
• Wergin, Joe (1980). Win at Cribbage. Oldcastle Books. ISBN0-948353-97-X.

External links[edit]