Cribbage Statistics - Distinct Hands

Distinct Hands

  • 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.

  • 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:

  • 1,009,008 (approximately 7.8%) of these score zero points, or 1,022,208 if the hand is the crib.
  • Not accounting for suit, there are 14715 unique hands.

Read more about this topic:  Cribbage Statistics

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