JTo
61.90%
Wins 61.33%, ties 1.15%
75s
38.10%
Wins 37.52%, ties 1.15%
JTo against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JTo | 61.330 | 1.145 | 37.525 | 61.902 |
| 75s | 37.525 | 1.145 | 61.330 | 38.098 |
JTo is an offsuit hand and 75s is a suited hand. 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 1.15 are split pots, and the equity figures already include them.
Place 57 of 169 belongs to JTo and place 124 belongs to 75s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JTo | 50,407,000 | 941,000 | 30,842,000 |
| 75s | 30,842,000 | 941,000 | 50,407,000 |
48 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) |
|---|---|---|---|---|
| JTo | 1.625 | 1.631 | 2.665 | 0.615 |
| 75s | 0.615 | 2.665 | 1.631 | 1.625 |
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
Split by what the flop looks like, JTo peaks at 69.94% on rainbow flops topped by a ten or better and bottoms out at 38.79% on low rainbow flops (nine high or lower). 75s is ahead on low rainbow flops (nine high or lower), even though it trails JTo when every flop is counted.
| Flop | Share of flops | JTo wins | Ties | 75s wins | JTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 69.614 | 0.649 | 29.737 | 69.938 |
| Rainbow, nine or lower | 6.313 | 38.543 | 0.501 | 60.956 | 38.793 |
| Two-tone | 46.667 | 60.362 | 0.586 | 39.052 | 60.655 |
| Monotone | 5.212 | 58.669 | 2.639 | 38.692 | 59.988 |
| Paired | 17.091 | 61.219 | 3.172 | 35.609 | 62.805 |
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
Start from the random-hand figures, 55.25% for JTo and 43.68% for 75s. This opponent changes them by +6.65 and -5.58 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JTo, all flops | 61.902 | 55.248 | +6.654 | 1.12044 |
| JTo, rainbow, ten or higher | 69.938 | 55.248 | +14.690 | 1.26589 |
| JTo, rainbow, nine or lower | 38.793 | 55.248 | -16.455 | 0.70216 |
| JTo, two-tone | 60.655 | 55.248 | +5.407 | 1.09787 |
| JTo, monotone | 59.988 | 55.248 | +4.740 | 1.08579 |
| JTo, paired | 62.805 | 55.248 | +7.557 | 1.13678 |
| 75s, all flops | 38.098 | 43.676 | -5.578 | 0.87229 |
| 75s, rainbow, ten or higher | 30.062 | 43.676 | -13.614 | 0.68830 |
| 75s, rainbow, nine or lower | 61.207 | 43.676 | +17.531 | 1.40139 |
| 75s, two-tone | 39.345 | 43.676 | -4.331 | 0.90084 |
| 75s, monotone | 40.012 | 43.676 | -3.664 | 0.91611 |
| 75s, paired | 37.195 | 43.676 | -6.481 | 0.85161 |
Does a shared suit matter?
The suit split reads 62.63% for JTo with a shared suit and 61.18% without one. JTo does better with a shared suit, by 1.45 points.
| Deals | Specific deals | Share of deals | JTo wins | Ties | 75s wins | JTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 62.032 | 1.188 | 36.780 | 62.626 |
| No shared suit | 24 | 50.00 | 60.627 | 1.102 | 38.271 | 61.178 |
How often this matchup comes up
JTo against 75s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says JTo gets $123.80 of it on average and 75s gets $76.20.
Think in thousands: about 613 of 1,000 go to JTo, about 375 go to 75s, and about 12 are chopped.
The same matchup from the other side
If you came looking for 75s against JTo, the numbers are the same with the hands swapped: 38.10% and 61.90%.
Keep exploring
JsTh against 7d5d 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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