JJ
72.08%
Wins 71.90%, ties 0.37%
A9o
27.92%
Wins 27.73%, ties 0.37%
JJ against A9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 71.895 | 0.368 | 27.737 | 72.079 |
| A9o | 27.737 | 0.368 | 71.895 | 27.921 |
The matchup pits a pocket pair against 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 44.16 points is large but not decisive: A9o still takes about 277 of every 1,000 deals. Split pots make up 0.37% of the boards, and both equity figures count them as half a win each.
The hand ranking puts JJ at 4 and A9o at 25 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 88,636,000 | 454,000 | 34,196,000 |
| A9o | 34,196,000 | 454,000 | 88,636,000 |
The total is exact: 72 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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 | 2.582 | 1.391 | 3.605 | 0.387 |
| A9o | 0.387 | 3.605 | 1.391 | 2.582 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Low rainbow flops (nine high or lower) are the best for JJ (80.59%); monotone flops are the worst (67.37%). JJ stays ahead on all five textures.
| Flop | Share of flops | JJ wins | Ties | A9o wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 69.512 | 0.144 | 30.344 | 69.584 |
| Rainbow, nine or lower | 7.042 | 80.095 | 0.983 | 18.922 | 80.586 |
| Two-tone | 46.485 | 71.395 | 0.321 | 28.284 | 71.555 |
| Monotone | 5.151 | 66.518 | 1.706 | 31.776 | 67.371 |
| Paired | 17.334 | 74.799 | 0.155 | 25.046 | 74.877 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -5.39 points for JJ, from 77.47%, and -32.85 for A9o, from 60.77%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 72.079 | 77.469 | -5.390 | 0.93042 |
| JJ, rainbow, ten or higher | 69.584 | 77.469 | -7.885 | 0.89822 |
| JJ, rainbow, nine or lower | 80.586 | 77.469 | +3.117 | 1.04024 |
| JJ, two-tone | 71.555 | 77.469 | -5.914 | 0.92366 |
| JJ, monotone | 67.371 | 77.469 | -10.098 | 0.86965 |
| JJ, paired | 74.877 | 77.469 | -2.592 | 0.96654 |
| A9o, all flops | 27.921 | 60.773 | -32.852 | 0.45943 |
| A9o, rainbow, ten or higher | 30.416 | 60.773 | -30.357 | 0.50049 |
| A9o, rainbow, nine or lower | 19.414 | 60.773 | -41.359 | 0.31945 |
| A9o, two-tone | 28.445 | 60.773 | -32.328 | 0.46805 |
| A9o, monotone | 32.629 | 60.773 | -28.144 | 0.53690 |
| A9o, paired | 25.123 | 60.773 | -35.650 | 0.41339 |
Does a shared suit matter?
Two kinds of deal exist here. In 60 of them the hands share a suit and JJ holds 72.12%. In 12 they do not, and it holds 71.89%. The two rows differ by only 0.23 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | JJ wins | Ties | A9o wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 71.925 | 0.384 | 27.691 | 72.117 |
| No shared suit | 12 | 16.67 | 71.743 | 0.288 | 27.969 | 71.887 |
How often this matchup comes up
Exactly 72 specific deals fit this matchup in one seat order, which is 0.0044% of 1,624,350; both orders together give 144, or 0.0089%.
A worked example
With $100 from each side, the $200 pot is split on average as $144.16 for JJ and $55.84 for A9o; the first side gains $44.16 per all-in and the second gives up $44.16.
Think in thousands: about 719 of 1,000 go to JJ, about 277 go to A9o, and about 4 are chopped.
The same matchup from the other side
A9o versus JJ is this same page seen from the other hand: 27.92% for A9o, 72.08% for JJ.
Keep exploring
Try JsJh against Ad9c in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of JJ against A9o, 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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