JTo
73.36%
Wins 70.79%, ties 5.13%
T9o
26.64%
Wins 24.08%, ties 5.13%
JTo against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JTo | 70.794 | 5.131 | 24.075 | 73.359 |
| T9o | 24.075 | 5.131 | 70.794 | 26.641 |
The matchup is offsuit hands on both sides, JTo against T9o. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
JTo is well ahead, and T9o needs a specific kind of board to catch up. About 5.13% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
The hand ranking puts JTo at 57 and T9o at 78 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JTo | 130,919,000 | 9,489,000 | 44,522,000 |
| T9o | 44,522,000 | 9,489,000 | 130,919,000 |
The board total is exact, 108 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) |
|---|---|---|---|---|
| JTo | 2.754 | 1.413 | 4.154 | 0.363 |
| T9o | 0.363 | 4.154 | 1.413 | 2.754 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
The flop changes the picture. JTo does best on rainbow flops topped by a ten or better, at 76.33%, and worst on low rainbow flops (nine high or lower), at 63.78%. JTo stays ahead on all five textures.
| Flop | Share of flops | JTo wins | Ties | T9o wins | JTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.003 | 73.792 | 5.075 | 21.133 | 76.329 |
| Rainbow, nine or lower | 7.042 | 63.124 | 1.315 | 35.561 | 63.782 |
| Two-tone | 46.477 | 71.025 | 4.131 | 24.844 | 73.090 |
| Monotone | 5.144 | 67.494 | 4.719 | 27.787 | 69.854 |
| Paired | 17.334 | 70.118 | 9.562 | 20.320 | 74.899 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
A random hand would give JTo 55.25% and T9o 51.53%. Against each other the change is +18.11 points for JTo and -24.89 for T9o.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JTo, all flops | 73.359 | 55.248 | +18.111 | 1.32781 |
| JTo, rainbow, ten or higher | 76.329 | 55.248 | +21.081 | 1.38157 |
| JTo, rainbow, nine or lower | 63.782 | 55.248 | +8.534 | 1.15447 |
| JTo, two-tone | 73.090 | 55.248 | +17.842 | 1.32294 |
| JTo, monotone | 69.854 | 55.248 | +14.606 | 1.26437 |
| JTo, paired | 74.899 | 55.248 | +19.651 | 1.35569 |
| T9o, all flops | 26.641 | 51.532 | -24.891 | 0.51698 |
| T9o, rainbow, ten or higher | 23.671 | 51.532 | -27.861 | 0.45935 |
| T9o, rainbow, nine or lower | 36.218 | 51.532 | -15.314 | 0.70283 |
| T9o, two-tone | 26.910 | 51.532 | -24.622 | 0.52220 |
| T9o, monotone | 30.146 | 51.532 | -21.386 | 0.58500 |
| T9o, paired | 25.101 | 51.532 | -26.431 | 0.48710 |
Does a shared suit matter?
Two kinds of deal exist here. In 84 of them the hands share a suit and JTo holds 73.53%. In 24 they do not, and it holds 72.77%. JTo does better with a shared suit, by 0.76 points.
| Deals | Specific deals | Share of deals | JTo wins | Ties | T9o wins | JTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 70.946 | 5.165 | 23.889 | 73.528 |
| No shared suit | 24 | 22.22 | 70.262 | 5.011 | 24.727 | 72.767 |
How often this matchup comes up
JTo against T9o is made up of 108 specific-card matchups in one seat order, 0.0066% of the 1,624,350 ordered deals, and 216 counting both seat orders, 0.0133%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, JTo's average share is $146.72 (a gain of $46.72) and T9o's is $53.28 (a loss of $46.72).
A thousand deals look like this: JTo takes 708, T9o takes 241, 51 are ties.
The same matchup from the other side
T9o against JTo adds nothing new: it is 26.64% for T9o and 73.36% for JTo, the same figures reversed.
Keep exploring
Open the calculator with JsTh against Td9c 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
Nothing here is simulated. The 108 deals of JTo against T9o fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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