A hand-count exercise explains rarity. It cannot predict a shuffled hand or guarantee a result.
| Quantity | Calculation | Result |
|---|---|---|
| Unordered three-card hands | 52 × 51 × 50 ÷ 6 | 22,100 |
| Trail hands | 13 × 4 | 52 |
| Trail frequency | 52 ÷ 22,100 × 100 | About 0.2353% |
| Next-hand prediction | Not supplied by these counts | Unknown |
FIELD NOTE 01
Define the model
Use one fair 52-card deck, no jokers, and three unordered cards. The number of possible hands is 52 × 51 × 50 ÷ 6 = 22,100.
FIELD NOTE 02
Count a trail
Choose one of 13 ranks and any three of its four suits: 13 × 4 = 52 trail hands. Their share is 52 ÷ 22,100, approximately 0.2353 percent.
FIELD NOTE 03
Separate rarity from ranking
The classic category ladder is a game convention. A frequency calculation does not override it or settle a room-specific ace rule.
FIELD NOTE 04
Respect the assumptions
The calculation assumes a standard deck and uniform three-card combinations. It is not evidence of a particular app’s shuffle implementation or a method for knowing the next card.
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Rules reference: Teen Patti rules . Exact variants and ace conventions remain room-specific.
