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The Ultimate Cribbage Hand (Posted on 2006-06-07) Difficulty: 4 of 5
In Cribbage, a hand scores as follows:

  • 2 points for each set of cards that totals 15 (face cards count 10, aces count 1)
  • 2 points for each pair (this means 3-of-a-kind is worth 6 points and 4-of-a-kind is worth 12 points)
  • n points for each maximal straight containing n cards
  • (i.e. a four card straight does not also count as two three card straights)
  • n points for each maximal flush containing n cards
  • (i.e. a four card flush does not also count as four three card flushes)
  • 1 point for the jack of trumps

  • It's easy to show that the best five card hand is J5555, worth 29 points, and, although impossible in an actual game, the best six card hand would be 445566, worth 46 points.

    If the entire deck of 52 cards was considered to be a single cribbage hand, what would be its value?

    See The Solution Submitted by Jer    
    Rating: 3.3333 (3 votes)

    Comments: ( You must be logged in to post comments.)
      Subject Author Date
    answerK Sengupta2008-02-06 05:43:59
    re: Oppsrobert2006-10-01 10:50:26
    QuestionNo Subjectrobert2006-10-01 09:58:11
    Ultimate cribbage handgrant2006-09-22 01:33:44
    Solution?Penny Slaton2006-08-19 19:35:59
    Solutionre(4): Part of the solutionCharlie2006-06-08 09:19:09
    re(2): A Fist Fullbrianjn2006-06-08 04:12:55
    re: Hey CharlieCharlie2006-06-08 00:19:03
    New TotalEric2006-06-07 23:40:52
    re(3): Part of the solutionEric2006-06-07 23:31:17
    re: A Fist FullEric2006-06-07 23:24:21
    re: some help from the computer (spoiler)Eric2006-06-07 23:15:06
    SolutionA Fist Fullbrianjn2006-06-07 21:09:39
    re: Part of the solutionbrianjn2006-06-07 20:45:56
    re: Why is J5555 only 29 pts?Jer2006-06-07 17:55:16
    Hints/TipsHey Charlietomarken2006-06-07 16:10:53
    Some Thoughtsre(2): Part of the solutiontomarken2006-06-07 16:06:28
    re: Part of the solutionCharlie2006-06-07 15:41:15
    Solutionsome help from the computer (spoiler)Charlie2006-06-07 15:38:26
    Hints/TipsPart of the solutiontomarken2006-06-07 15:38:09
    QuestionWhy is J5555 only 29 pts?Charlie2006-06-07 14:08:00
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