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Talk:Cribbage statistics
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[edit]"If a player holds a 5 in his hand, he is guaranteed at least two points."
Can someone explain this to me? I can't really figure out how... 72.83.147.28 (talk) 20:13, 21 May 2008 (UTC)
- If you have a five, and you want to score less than two, you can't have a ten (two for fifteen), another five (two for a pair) or indeed any other pair. You can't have a six and a four (six, five and four score two for fifteen and three for a run), you can't have a seven and a three, you can't have a eight and a two and you can't have a nine and an ace. So for a hand of four and a starter card, you have to have the five plus an extra four cards, so you need one of six and four, one of seven and three, one of eight and two and one of nine and ace. This gives sixteen possibilities. However, in each of these cases you can make fifteen from at least one combination of the cards:
Cards Fifteen 
- Hope that makes sense. TimR (talk) 17:52, 22 May 2008 (UTC)
Highest Combined Score
[edit]I have added a paragraph on the highest score for both players in a single deal. I state that 105 is the highest known score. Can anyone find a higher one? Sicherman (talk) 16:02, 3 November 2012 (UTC)
- Yes. The counterexample is two paragraphs up. In the maximum score for the dealer hand where the dealer gets 78 points, the non-dealer pegs 12 and then scores 20 for a total of 32 points - 110 points combined for both players in a single deal. --Noren (talk) 18:38, 18 July 2014 (UTC)
Removed a section
[edit]I took out a section incorrectly claimed that a 55-0 was the best possible score for a shutout. I was tempted to edit it to show a higher scoring version but I could also be wrong about the best possible hand ... and this was unreferenced anyhow.
- In a 2-person game, dealer can theoretically shutout his opponent while scoring 58 points. Play could proceed as shown:
| Bob | holds 7TQK | cut card 4 |
T | Q | K | 7 | Hand: 7TQK + 4 for 0 | Total: 0 |
| discards 56 | 10 | 25 | 10 | 22 | ||||
| Alice | holds 5566 | 5 | 6 | 5 | 6 | Hand: 5566 + 4 for 24 | Total: 58 | |
| discards 56 | 15 for 2 | 31 for 2 | 15 for 2 | 28; 1 for last + 3 for a run of 3 | Crib: 5566 + 4 for 24 |
--Noren (talk) 07:10, 27 August 2014 (UTC)
59-0 is possible.
| Bob | holds 67TQ | cut card 4 |
T | 7 | Q | 6 | Hand: 67TQ + 4 for 0 | Total: 0 |
| discards 46 | 10 | 22 | 10 | 21 | ||||
| Alice | holds 5566 | 5 | 6 | 5 | 6 | Hand: 5566 + 4 for 24 | Total: 59 | |
| discards 55 | 15 for 2 | 28; 1 for last + 3 for a run of 3 | 15 for 2 | 27; 1 for last + 2 for a pair | Crib: 4556 + 4 for 24 |
--Noren (talk) 07:28, 27 August 2014 (UTC)
60-0 is possible, not sure how I missed this.
| Bob | holds 67TQ | cut card 4 |
T | 7 | Q | 6 | Hand: 67TQ + 4 for 0 | Total: 0 |
| discards 46 | 10 | 22 | 10 | 21 | ||||
| Alice | holds 4556 | 5 | 6 | 5 | 4 | Hand: 4556 + 4 for 24 | Total: 60 | |
| discards 55 | 15 for 2 | 28; 1 for last + 3 for a run of 3 | 15 for 2 | 25; 1 for last + 3 for a run of 3 | Crib: 4556 + 4 for 24 |
--Noren (talk) 05:12, 28 July 2018 (UTC)
External links modified
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Median of Crib point distribution
[edit]The median of the crib point distribution assuming random discards to the crib is 4 because the probability that the crib is worth 4 or less is about 56% and the probability that the crib is worth 4 or more is about 66%. Should we add
Median = 4
to the list of descriptive statistics of the crib point distribution?
Irchans (talk) 04:34, 3 February 2024 (UTC) irchans
Sourcing updates for the score tables and 29-hand odds
[edit] | The user below has a request that an edit be made to Cribbage statistics. That user has an actual or apparent conflict of interest. The requested edits backlog is very high. Please be extremely patient. There are currently 938 requests waiting for review. Please read the instructions for the parameters used by this template for accepting and declining them, and review the request below and make the edit if it is well sourced, neutral, and follows other Wikipedia guidelines and policies. Remember to set the |answered= parameter to "yes" when the request has been accepted, rejected or on hold awaiting user input. |
Hi, I'd like to suggest a few sourcing fixes for this article. Three use independent sources. The fourth is an optional external link to a site I run, so I'd rather another editor decide on that one.
- Hand score table (Mean = 4.7692): please add a citation to OEIS A066354 next to the existing Lumetta reference (the original page is gone; Wikipedia links to an Internet Archive copy). The sequence lists how many hands score each value from 0 to 29, and it matches the table exactly. (The table's mean is the weighted average of those counts.)
{{Cite OEIS|A066354|Number of hands that peg n points in the "show" phase of 6-card cribbage}}
- Crib score table (Mean = 4.7348): this table has no source. OEIS A346266 lists the same distribution.
{{Cite OEIS|A346266|Number of cribs that score n points in 6-card cribbage}}
- "1 in 216,580" (six-card deal): the cited page, cribbagecorner.com/facts/perfect, is now a 404. The American Cribbage Congress glossary gives the same figure ("216,580 to 1"): https://www.cribbage.org/NewSite/tips/glossary.asp. It doesn't cover the five-card figure (1 in 649,740), so that one would keep its current reference.
- External links (optional): a new section with one entry:
* [https://www.nobscribbage.com/odds/ Cribbage Odds and Statistics] – complete hand and crib score distributions, with downloadable data
Disclosure: I'm Kyle McGahey. I develop the Nobs Cribbage app and run nobscribbage.com. In September I added a link to that page, plus a signed comment giving the mean, to OEIS A066354 and A346266; OEIS editors reviewed and approved both edits. Thanks for taking a look. DanFlashes19 (talk) 13:41, 8 October 2026 (UTC)