How often is the flop paired, monotone, two-tone or rainbow?
Independent of anyone's hand, 39.8% of flops are rainbow, 55.1% two-tone and 5.18% monotone; about 17% come paired.
Probability
39.76%
about 1 time in 2.5
monotone
5.18%
Exact. All 22,100 three-card flops, counted by suit pattern and by rank pattern.
Suit pattern and rank pattern are independent questions. By suit, most flops are two-tone (55%), four in ten are rainbow, and one in twenty is monotone. By rank, five in six flops are unpaired; one in six comes with a pair, and trips on board is a once-in-400 event.
These are the base rates behind texture talk. A flush draw is possible on 60% of flops (two-tone or monotone); on the 17% that come paired, every two-pair and straight is already vulnerable to a full house.
| Texture | Flops | Probability |
|---|---|---|
| Rainbow | 8,788 | 39.8% |
| Two-tone | 12,168 | 55.1% |
| Monotone | 1,144 | 5.18% |
| Unpaired | 18,304 | 82.8% |
| Paired | 3,744 | 16.9% |
| Trips on board | 52 | 0.24% |
- All flops22,100C(52, 3)
- Monotone (one suit)1,1444 × C(13, 3)
- Two-tone (two of one suit)12,1684 × C(13, 2) × 39
- Rainbow (three suits)8,788remainder
- Paired (one pair)3,74413 × C(4, 2) × 48
- Trips5213 × C(4, 3)
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