Exact model
Texas Hold’em: exactly two pair
- Probability:
- 23.5%
- Odds:
- 1 to 3.3
- dBan
- −5.1 dBan
Two different pairs form the best hand in nearly one quarter of seven-card deals; the fifth card has another rank.
Calculation
p = 31,433,400 exact two-pair hands / C(52, 7) = 31,433,400 / 133,784,560
Assumptions
A standard 52-card deck has no jokers. Two private cards and five community cards are dealt with no cards known in advance. The best five of seven cards sets the exact category, so stronger categories are excluded. Folding, opponents, and the chance of winning are outside this model.