22
46.70%
Wins 45.33%, ties 2.73%
76s
53.30%
Wins 51.94%, ties 2.73%
22 against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 22 | 45.334 | 2.731 | 51.935 | 46.699 |
| 76s | 51.935 | 2.731 | 45.334 | 53.301 |
22 is a pocket pair and 76s is a suited hand. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
This is close to even money, with 76s a little ahead. Split pots make up 2.73% of the boards, and both equity figures count them as half a win each.
Place 87 of 169 belongs to 22 and place 115 belongs to 76s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 22 | 18,630,000 | 1,122,000 | 21,343,000 |
| 76s | 21,343,000 | 1,122,000 | 18,630,000 |
Exact total: 24 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 22 | 0.876 | 2.206 | 1.925 | 1.141 |
| 76s | 1.141 | 1.925 | 2.206 | 0.876 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: 76s holds 65.09% on low rainbow flops (nine high or lower) and 50.07% on paired flops. 76s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | 22 wins | Ties | 76s wins | 22 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 48.603 | 1.532 | 49.865 | 49.369 |
| Rainbow, nine or lower | 5.065 | 34.375 | 1.077 | 64.548 | 34.913 |
| Two-tone | 46.545 | 44.550 | 1.388 | 54.062 | 45.244 |
| Monotone | 5.212 | 44.872 | 4.578 | 50.550 | 47.161 |
| Paired | 17.334 | 45.906 | 8.051 | 46.043 | 49.932 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 50.33% for 22, 45.37% for 76s. Here the change is -3.63 and +7.93 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 22, all flops | 46.699 | 50.334 | -3.635 | 0.92778 |
| 22, rainbow, ten or higher | 49.369 | 50.334 | -0.965 | 0.98083 |
| 22, rainbow, nine or lower | 34.913 | 50.334 | -15.421 | 0.69363 |
| 22, two-tone | 45.244 | 50.334 | -5.090 | 0.89888 |
| 22, monotone | 47.161 | 50.334 | -3.173 | 0.93696 |
| 22, paired | 49.932 | 50.334 | -0.402 | 0.99201 |
| 76s, all flops | 53.301 | 45.372 | +7.929 | 1.17476 |
| 76s, rainbow, ten or higher | 50.631 | 45.372 | +5.259 | 1.11591 |
| 76s, rainbow, nine or lower | 65.087 | 45.372 | +19.715 | 1.43452 |
| 76s, two-tone | 54.756 | 45.372 | +9.384 | 1.20682 |
| 76s, monotone | 52.839 | 45.372 | +7.467 | 1.16457 |
| 76s, paired | 50.068 | 45.372 | +4.696 | 1.10350 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, 76s has 53.16%; looking only at deals where they do not, 53.44%. 76s does better with no shared suit, by 0.28 points.
| Deals | Specific deals | Share of deals | 22 wins | Ties | 76s wins | 22 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 45.464 | 2.749 | 51.787 | 46.838 |
| No shared suit | 12 | 50.00 | 45.204 | 2.713 | 52.083 | 46.560 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
Take a $200 pot built from $100 each. 76s' equity of 53.30% is worth $106.60, a $6.60 edge, and 22's 46.70% is worth $93.40, which is $6.60 under its stake.
Per 1,000 deals: 76s wins about 520, 22 wins about 453, and about 27 end in a split pot.
The same matchup from the other side
One page covers both views. From 76s' side the equity is 53.30%, and from 22's side it is 46.70%.
Keep exploring
Open the calculator with 2s2h against 7d6d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of 22 against 76s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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