Facts about cribbage

Facts about cribbage.

  • The origins of cribbage are uncertain, but the game dates back almost five hundred years.

  • The rules of cribbage are simple to learn, but can take a lifetime to master!

  • The highest possible hand in cribbage is 29, the perfect cribbage hand.

  • There are several 'impossible totals' - point counts which cannot be made with any hand. The lowest such total is 19 - hence the expression 'a nineteen hand', or 'I have nineteen', almost universally (perhaps sarcastically) used to describe a zero-point hand.

  • Cribbage has given the English language a number of expressions which it is hard to imagine doing without, including "level pegging", "what a turn-up/a turn-up for the books", "streets ahead", and "pegged out".

  • The fact that the crib alternates with the deal means that on average, the lead should also change hands with each deal - which means it ain't over till it's over!

  • The biggest possible improvement in your score from the cut is 20 points, when you hold 4-4-6-6 and cut a 5.

  • The first dealer in a game wins 55% to 60% of the time.

The distribution of cribbage hands

What is the most common point value of a cribbage hand? What is the average point value?

The MathWorld Cribbage page has a graph showing the frequency of different hand values in cribbage. This shows that the most frequent point value, ignoring the skew effect of the discard, is 4 (closely followed by 2).

Most common cribbage hands

Points Probability
4 0.2212
2 0.2188
6 0.1375
8 0.0860
0 0.0788

The average point value of a hand is 4.7249. Of course, in real play scores will be slightly higher because of the discard, but the distribution will be similar.

The 5-scores-2 conjecture

Does any hand containing a 5 score at least two points? The answer is yes. This question is addressed in detail here, complete with computer programs in Perl to generate all possible such hands and verify the conjecture:

4 and a ace in your crib

u cannot name 5 cards that do not total 15 or a pair. u r gauranteed points in ur crib when u toss and 4 and a ACE

scoring

Could you please tell me the total score of
a 4, two 5s, and two 6s in.

THANKS LOTS.

The Count

24 points! - 8 points for 15's; 4 points for two pairs; and 12 points for a quadruple 3-card run.

Question

What is the Point value for 3-3-4-5-5?

345 3 points 345 3

345 3 points
345 3 points
345 3 points
345 3 points
3-3 2 points
5-5 2 points
3+3+4+5 = 15 2 points
3+3+4+5 = 15 2 points
that is a total of 20 points

is it possible for the dealer

is it possible for the dealer to peg zero?

Yes, it is possible and

Yes, it is possible and happened recently at an ACC cribbage tournament.It happened because the dealer threw 3 cards into the crib and thus did not get the normal guaranteed last card peg. He also made his crib void since it had too many cards in it. to top it all he didn't have any points in his hand and after all was said and done he didn't get out of the starting hole. If he hadn't made the discarding error he could have gotten at least one point out of the deal.