3 Patti Hand Rankings: Simple Odds & Math Guide
The Math Behind a 52-Card Deck
If you take a regular pack of 52 playing cards and deal any 3 cards to a player, how many different combinations can you possibly make? In high school mathematics, we use the combination formula 52 choose 3:
Total Possible 3-Card Hands = (52 × 51 × 50) ÷ (3 × 2 × 1) = 22,100 hands
Out of these 22,100 hands, some hands come very rarely, while some hands come almost every second round. Knowing this simple math will stop you from folding good hands too early.
All 6 Hands Ranked from Best to Worst
| Hand Rank | Hand Name | How Many in Deck | Chances (%) | How Often It Comes |
|---|---|---|---|---|
| Rank 1 (Best) | Trail / Trio (e.g. AAA) | 52 hands | 0.24% | 1 in every 425 deals |
| Rank 2 | Pure Sequence (e.g. 4-5-6♥) | 48 hands | 0.22% | 1 in every 460 deals |
| Rank 3 | Normal Sequence (e.g. 7♠ 8♦ 9♣) | 720 hands | 3.26% | 1 in every 31 deals |
| Rank 4 | Color / Flush (Same suit) | 1,096 hands | 4.96% | 1 in every 20 deals |
| Rank 5 | Pair (e.g. KK plus a 7) | 3,744 hands | 16.94% | 1 in every 6 deals |
| Rank 6 (Worst) | High Card (Mixed cards) | 16,440 hands | 74.39% | 3 out of every 4 deals |
Smart Tips Every Beginner Should Know
Look at the table above carefully. High Card happens in almost 75% of all deals! That means most players at the table are holding nothing special.
If you get dealt even a decent Pair, like a pair of 9s or Queens, your hand is already stronger than 75% of all hands in the deck! Don't get scared and pack immediately just because an opponent looks confident.
