J9s
52.67%
Wins 51.95%, ties 1.45%
22
47.33%
Wins 46.60%, ties 1.45%
J9s against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| J9s | 51.948 | 1.450 | 46.602 | 52.673 |
| 22 | 46.602 | 1.450 | 51.948 | 47.327 |
Here a suited hand (J9s) meets a pocket pair (22). 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.
That is a slim edge: neither hand is far ahead. 1.45% of boards are ties, so the equity of each hand is its win rate plus half of that.
By strength against a random hand, J9s holds place 55 of 169 and 22 holds place 87.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| J9s | 21,348,000 | 596,000 | 19,151,000 |
| 22 | 19,151,000 | 596,000 | 21,348,000 |
The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| J9s | 1.113 | 1.925 | 2.146 | 0.899 |
| 22 | 0.899 | 2.146 | 1.925 | 1.113 |
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
By flop texture, J9s' equity runs from 44.06% on low rainbow flops (nine high or lower) up to 53.72% on two-tone flops. The overall edge for J9s hides low rainbow flops (nine high or lower), where 22 comes out in front.
| Flop | Share of flops | J9s wins | Ties | 22 wins | J9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 53.217 | 0.751 | 46.032 | 53.592 |
| Rainbow, nine or lower | 5.689 | 43.583 | 0.949 | 55.468 | 44.058 |
| Two-tone | 46.545 | 53.342 | 0.748 | 45.910 | 53.716 |
| Monotone | 5.212 | 50.105 | 4.053 | 45.842 | 52.132 |
| Paired | 17.334 | 49.655 | 3.734 | 46.611 | 51.522 |
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
Relative to a random opponent, J9s changes by -2.99 points (baseline 55.66%) and 22 by -3.00 points (baseline 50.33%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| J9s, all flops | 52.673 | 55.662 | -2.989 | 0.94630 |
| J9s, rainbow, ten or higher | 53.592 | 55.662 | -2.070 | 0.96281 |
| J9s, rainbow, nine or lower | 44.058 | 55.662 | -11.604 | 0.79153 |
| J9s, two-tone | 53.716 | 55.662 | -1.946 | 0.96504 |
| J9s, monotone | 52.132 | 55.662 | -3.530 | 0.93658 |
| J9s, paired | 51.522 | 55.662 | -4.140 | 0.92562 |
| 22, all flops | 47.327 | 50.334 | -3.007 | 0.94026 |
| 22, rainbow, ten or higher | 46.408 | 50.334 | -3.926 | 0.92200 |
| 22, rainbow, nine or lower | 55.942 | 50.334 | +5.608 | 1.11142 |
| 22, two-tone | 46.284 | 50.334 | -4.050 | 0.91954 |
| 22, monotone | 47.868 | 50.334 | -2.466 | 0.95101 |
| 22, paired | 48.478 | 50.334 | -1.856 | 0.96313 |
Does a shared suit matter?
Split by suits, the deals give J9s 52.52% when the hands overlap in a suit and 52.83% when they do not. J9s does better with no shared suit, by 0.31 points.
| Deals | Specific deals | Share of deals | J9s wins | Ties | 22 wins | J9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 51.780 | 1.470 | 46.750 | 52.515 |
| No shared suit | 12 | 50.00 | 52.115 | 1.429 | 46.456 | 52.830 |
How often this matchup comes up
The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.
A worked example
Take a $200 pot built from $100 each. J9s' equity of 52.67% is worth $105.34, a $5.34 edge, and 22's 47.33% is worth $94.66, which is $5.34 under its stake.
Think in thousands: about 519 of 1,000 go to J9s, about 466 go to 22, and about 15 are chopped.
The same matchup from the other side
The reversed view, 22 against J9s, shows 47.33% for 22 and 52.67% for J9s. It is the same count, so it redirects here.
Keep exploring
Js9s against 2h2d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of J9s against 22, 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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