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:
“Man has no Body distinct from his Soul; for that call’d Body is a portion of Soul discern’d by the five Senses, the chief inlets of Soul in this age.”
—William Blake (1757–1827)
“This world has many rings, like Saturn, and we live now on the outmost of them all. None can say deliberately that he inhabits the same sphere, or is contemporary, with the flower which his hands have plucked, and though his feet may seem to crush it, inconceivable spaces and ages separate them, and perchance there is no danger that he will hurt it.”
—Henry David Thoreau (1817–1862)