Poker Pair Probability
Calculator
Exactly one pair probability (%)
42.256902
Results
- Exactly one pair probability (%)
- 42.256902
- Total possible hands
- 2,598,960
- Favorable hands
- 1,098,240
Gaming results
| Exactly one pair probability (%) | 42.256902 |
| Total possible hands | 2,598,960 |
| Favorable hands | 1,098,240 |
formula-map diagram
- Exactly one pair probability (%)
- 42.256902
- Total possible hands
- 2,598,960
- Favorable hands
- 1,098,240
Game math relationship
Formula
P(one pair) = [C(13,1)·C(4,2)·C(12,3)·4³] ÷ C(52,5)= 42.256902761104
Note
This is a simplified model: it applies the standard probability or game-math formula to the numbers you entered. Real games add pity systems, drop-rate tiers, rounding, server-side variance and balance patches, so treat the result as an estimate rather than a guarantee.