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

Famous quotes containing the words distinct and/or hands:

    It is best for all parties in the combined family to take matters slowly, to use the crock pot instead of the pressure cooker, and not to aim for a perfect blend but rather to recognize the pleasures to be enjoyed in retaining some of the distinct flavors of the separate ingredients.
    Claire Berman (20th century)

    A belief in hell and the knowledge that every ambition is doomed to frustration at the hands of a skeleton have never prevented the majority of human beings from behaving as though death were no more than an unfounded rumour.
    Aldous Huxley (1894–1963)