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Talk:Cribbage statistics

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Latest comment: 2 years ago by Irchans in topic Median of Crib point distribution

Untitled

[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)Reply

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:
CardsFifteen
5 of diamonds6 of spades7 of hearts8 of clubs9 of diamonds6 of spades9 of diamonds
5 of diamonds6 of spades7 of hearts8 of clubsAce of diamonds7 of hearts8 of clubs
5 of diamonds6 of spades7 of hearts2 of clubs9 of diamonds6 of spades9 of diamonds
5 of diamonds6 of spades7 of hearts2 of clubsAce of diamonds6 of spades7 of hearts2 of clubs
5 of diamonds6 of spades3 of hearts8 of clubs9 of diamonds6 of spades9 of diamonds
5 of diamonds6 of spades3 of hearts8 of clubsAce of diamonds6 of spades8 of clubsAce of diamonds
5 of diamonds6 of spades3 of hearts2 of clubs9 of diamonds6 of spades9 of diamonds
5 of diamonds6 of spades3 of hearts2 of clubsAce of diamonds5 of diamonds6 of spades3 of heartsAce of diamonds
5 of diamonds4 of spades7 of hearts8 of clubs9 of diamonds7 of hearts8 of clubs
5 of diamonds4 of spades7 of hearts8 of clubsAce of diamonds7 of hearts8 of clubs
5 of diamonds4 of spades7 of hearts2 of clubs9 of diamonds4 of spades2 of clubs9 of diamonds
5 of diamonds4 of spades7 of hearts2 of clubsAce of diamonds5 of diamonds7 of hearts2 of clubsAce of diamonds
5 of diamonds4 of spades3 of hearts8 of clubs9 of diamonds4 of spades3 of hearts8 of clubs
5 of diamonds4 of spades3 of hearts8 of clubsAce of diamonds4 of spades3 of hearts8 of clubs
5 of diamonds4 of spades3 of hearts2 of clubs9 of diamonds4 of spades2 of clubs9 of diamonds
5 of diamonds4 of spades3 of hearts2 of clubsAce of diamonds5 of diamonds4 of spades3 of hearts2 of clubsAce of diamonds
Hope that makes sense. TimR (talk) 17:52, 22 May 2008 (UTC)Reply

Highest Combined Score

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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)Reply

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)Reply

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:
Bobholds 7TQKcut
card
4
TQK7Hand: 7TQK + 4 for 0Total: 0
discards 5610251022
Aliceholds 55665656Hand: 5566 + 4 for 24Total: 58
discards 5615 for 231 for 215 for 228; 1 for last + 3 for a run of 3Crib: 5566 + 4 for 24

--Noren (talk) 07:10, 27 August 2014 (UTC)Reply

59-0 is possible.

Bobholds 67TQcut
card
4
T7Q6Hand: 67TQ + 4 for 0Total: 0
discards 4610221021
Aliceholds 55665656Hand: 5566 + 4 for 24Total: 59
discards 5515 for 228; 1 for last + 3 for a run of 315 for 227; 1 for last + 2 for a pairCrib: 4556 + 4 for 24

--Noren (talk) 07:28, 27 August 2014 (UTC)Reply

60-0 is possible, not sure how I missed this.

Bobholds 67TQcut
card
4
T7Q6Hand: 67TQ + 4 for 0Total: 0
discards 4610221021
Aliceholds 45565654Hand: 4556 + 4 for 24Total: 60
discards 5515 for 228; 1 for last + 3 for a run of 315 for 225; 1 for last + 3 for a run of 3Crib: 4556 + 4 for 24

--Noren (talk) 05:12, 28 July 2018 (UTC)Reply

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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) irchansReply