COUNT THE POSSIBILITIES
Probability Studio
Exact counts, explicit assumptions and the mathematics behind three cards.
Your starting point
Teen Patti probability starts with a declared sample space and a clearly worded event. The standard Hub model counts 22,100 unordered hands from one 52-card pack. Study the category constructions, inspect known-card changes and connect exact fractions to the fixed teaching examples. Each calculation states its assumptions so the result can be checked independently.
The Hub study profile uses one 52-card pack, six standard categories and suit-neutral comparisons. It places A-K-Q above A-2-3, then K-Q-J down to 4-3-2. Practice points count complete explanations within the current page. Read the named convention beside every worked comparison and keep rummy transfer lessons within their own rule system.
The complete category table
The category table partitions all 22,100 standard three-card hands into six mutually exclusive groups. Each row supplies an exact count, its construction and a rounded percentage. Read the count before the percentage and use the full-pack assumptions throughout. The total row provides a direct check that every possible hand has one category.
| Category | Hands | Exact construction | Frequency |
|---|---|---|---|
| Trail | 52 | 13 × C(4,3) | 0.2353% |
| Pure sequence | 48 | 12 × 4 | 0.2172% |
| Sequence | 720 | 12 × (4³ − 4) | 3.2579% |
| Colour | 1,096 | 4 × C(13,3) − 48 | 4.9593% |
| Pair | 3,744 | 13 × C(4,2) × 12 × 4 | 16.9412% |
| High card | 16,440 | 22,100 − 5,660 | 74.3891% |
| Total | 22,100 | C(52,3) | 100% |
Explore the collection
Continue through the related study route by connecting a rule definition, a calculation or a practical comparison. Read the topic that addresses your next question, then return to the fixed hand and explain it again. The links below connect specific learning tasks within the same entertainment-only publication and its wider card-study collections.
Connect the next skill
A useful learning route connects a definition with an example and an explanation check. Move between rules, probability, strategy and practice according to the question in front of you. Each collection develops a different part of the same card-study process, while the editorial method keeps its sources, conventions and learning purpose visible throughout.