JJ
71.44%
Wins 71.25%, ties 0.38%
ATo
28.56%
Wins 28.37%, ties 0.38%
JJ against ATo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 71.248 | 0.377 | 28.375 | 71.437 |
| ATo | 28.375 | 0.377 | 71.248 | 28.563 |
The first hand is a pocket pair; the second is an offsuit hand. One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.
A lead of 42.88 points is large but not decisive: ATo still takes about 284 of every 1,000 deals. Ties are 0.38% of the outcomes here; each tied board gives both hands half the pot.
Ranked by equity against a random hand, JJ is number 4 of the 169 starting hands and ATo is number 19.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 87,839,000 | 465,000 | 34,982,000 |
| ATo | 34,982,000 | 465,000 | 87,839,000 |
72 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| JJ | 2.501 | 1.404 | 3.524 | 0.400 |
| ATo | 0.400 | 3.524 | 1.404 | 2.501 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
The flop changes the picture. JJ does best on low rainbow flops (nine high or lower), at 83.27%, and worst on monotone flops, at 66.76%. JJ 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 | JJ wins | Ties | ATo wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 67.181 | 0.139 | 32.680 | 67.250 |
| Rainbow, nine or lower | 7.771 | 82.785 | 0.963 | 16.252 | 83.267 |
| Two-tone | 46.485 | 70.592 | 0.331 | 29.077 | 70.757 |
| Monotone | 5.151 | 65.900 | 1.713 | 32.387 | 66.757 |
| Paired | 17.333 | 74.885 | 0.156 | 24.959 | 74.963 |
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, JJ changes by -6.03 points (baseline 77.47%) and ATo by -34.16 points (baseline 62.72%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 71.437 | 77.469 | -6.032 | 0.92214 |
| JJ, rainbow, ten or higher | 67.250 | 77.469 | -10.219 | 0.86809 |
| JJ, rainbow, nine or lower | 83.267 | 77.469 | +5.798 | 1.07484 |
| JJ, two-tone | 70.757 | 77.469 | -6.712 | 0.91336 |
| JJ, monotone | 66.757 | 77.469 | -10.712 | 0.86173 |
| JJ, paired | 74.963 | 77.469 | -2.506 | 0.96765 |
| ATo, all flops | 28.563 | 62.722 | -34.159 | 0.45539 |
| ATo, rainbow, ten or higher | 32.750 | 62.722 | -29.972 | 0.52215 |
| ATo, rainbow, nine or lower | 16.733 | 62.722 | -45.989 | 0.26678 |
| ATo, two-tone | 29.243 | 62.722 | -33.479 | 0.46623 |
| ATo, monotone | 33.243 | 62.722 | -29.479 | 0.53001 |
| ATo, paired | 25.037 | 62.722 | -37.685 | 0.39917 |
Does a shared suit matter?
Split by suits, the deals give JJ 71.47% when the hands overlap in a suit and 71.26% when they do not. The two rows differ by only 0.21 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | JJ wins | Ties | ATo wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 71.275 | 0.393 | 28.332 | 71.472 |
| No shared suit | 12 | 16.67 | 71.113 | 0.297 | 28.590 | 71.262 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 72 are JJ in one seat and ATo in the other (0.0044%); with the seats swapped too, 144 (0.0089%).
A worked example
Put $100 each into a $200 pot and deal every board once: JJ averages $142.88 back, ahead of its $100 by $42.88, while ATo averages $57.12, short of its $100 by $42.88.
Per 1,000 deals: JJ wins about 712, ATo wins about 284, and about 4 end in a split pot.
The same matchup from the other side
The reversed view, ATo against JJ, shows 28.56% for ATo and 71.44% for JJ. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in JsJh against AdTc, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Each figure is a complete count over boards. Take the 72 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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