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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—George Bernard Shaw (1856–1950)