JTs
64.33%
Wins 63.75%, ties 1.16%
75s
35.67%
Wins 35.09%, ties 1.16%
JTs against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JTs | 63.746 | 1.159 | 35.095 | 64.326 |
| 75s | 35.095 | 1.159 | 63.746 | 35.674 |
Each side holds one of the suited hands: JTs and 75s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Of every 100 boards, about 1.16 are split pots, and the equity figures already include them.
The hand ranking puts JTs at 45 and 75s at 124 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JTs | 17,464,000 | 318,000 | 9,615,000 |
| 75s | 9,615,000 | 318,000 | 17,464,000 |
The board total is exact, 16 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) |
|---|---|---|---|---|
| JTs | 1.803 | 1.569 | 2.849 | 0.555 |
| 75s | 0.555 | 2.849 | 1.569 | 1.803 |
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
The flop changes the picture. JTs does best on rainbow flops topped by a ten or better, at 71.21%, and worst on low rainbow flops (nine high or lower), at 41.11%. 75s is ahead on low rainbow flops (nine high or lower), even though it trails JTs when every flop is counted.
| Flop | Share of flops | JTs wins | Ties | 75s wins | JTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 70.892 | 0.632 | 28.476 | 71.208 |
| Rainbow, nine or lower | 6.314 | 40.870 | 0.478 | 58.652 | 41.109 |
| Two-tone | 46.727 | 63.645 | 0.557 | 35.798 | 63.924 |
| Monotone | 5.273 | 59.603 | 3.629 | 36.768 | 61.417 |
| Paired | 17.091 | 63.468 | 3.054 | 33.478 | 64.995 |
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 JTs 57.53% and 75s 43.68%. Against each other the change is +6.80 points for JTs and -8.01 for 75s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JTs, all flops | 64.326 | 57.528 | +6.798 | 1.11817 |
| JTs, rainbow, ten or higher | 71.208 | 57.528 | +13.680 | 1.23780 |
| JTs, rainbow, nine or lower | 41.109 | 57.528 | -16.419 | 0.71459 |
| JTs, two-tone | 63.924 | 57.528 | +6.396 | 1.11118 |
| JTs, monotone | 61.417 | 57.528 | +3.889 | 1.06760 |
| JTs, paired | 64.995 | 57.528 | +7.467 | 1.12980 |
| 75s, all flops | 35.674 | 43.676 | -8.002 | 0.81679 |
| 75s, rainbow, ten or higher | 28.792 | 43.676 | -14.884 | 0.65922 |
| 75s, rainbow, nine or lower | 58.891 | 43.676 | +15.215 | 1.34836 |
| 75s, two-tone | 36.076 | 43.676 | -7.600 | 0.82599 |
| 75s, monotone | 38.583 | 43.676 | -5.093 | 0.88339 |
| 75s, paired | 35.005 | 43.676 | -8.671 | 0.80147 |
Does a shared suit matter?
Split by suits, the deals give JTs 66.78% when the hands overlap in a suit and 63.51% when they do not. JTs does better with a shared suit, by 3.27 points.
| Deals | Specific deals | Share of deals | JTs wins | Ties | 75s wins | JTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 66.143 | 1.272 | 32.585 | 66.779 |
| No shared suit | 12 | 75.00 | 62.947 | 1.122 | 35.931 | 63.508 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. JTs averages $128.66 from the $200, up $28.66; 75s averages $71.34, down $28.66.
Per 1,000 deals: JTs wins about 637, 75s wins about 351, and about 12 end in a split pot.
The same matchup from the other side
Swap the hands and you get 75s with 35.67% against JTs with 64.33%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with JsTs against 7h5h 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
Each figure is a complete count over boards. Take the 16 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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