J9s
63.59%
Wins 62.94%, ties 1.29%
75s
36.41%
Wins 35.77%, ties 1.29%
J9s against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| J9s | 62.942 | 1.291 | 35.767 | 63.588 |
| 75s | 35.767 | 1.291 | 62.942 | 36.412 |
Two suited hands meet here: J9s against 75s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are part of the picture: 1.29% of boards end in a split pot, and each side counts that as half a win.
By strength against a random hand, J9s holds place 55 of 169 and 75s holds place 124.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| J9s | 17,244,000 | 354,000 | 9,799,000 |
| 75s | 9,799,000 | 354,000 | 17,244,000 |
Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| J9s | 1.746 | 1.589 | 2.796 | 0.573 |
| 75s | 0.573 | 2.796 | 1.589 | 1.746 |
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
J9s prefers rainbow flops topped by a ten or better, where it holds 68.23%, and likes low rainbow flops (nine high or lower) least, where it holds 46.07%. J9s is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | J9s wins | Ties | 75s wins | J9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 67.850 | 0.761 | 31.389 | 68.230 |
| Rainbow, nine or lower | 5.689 | 45.831 | 0.483 | 53.686 | 46.073 |
| Two-tone | 46.727 | 62.768 | 0.652 | 36.580 | 63.094 |
| Monotone | 5.273 | 58.884 | 3.689 | 37.427 | 60.728 |
| Paired | 17.091 | 63.127 | 3.347 | 33.526 | 64.800 |
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
Against one random hand instead, J9s holds 55.66% and 75s holds 43.68%. Facing each other changes that by +7.93 points for J9s and -7.27 points for 75s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| J9s, all flops | 63.588 | 55.662 | +7.926 | 1.14240 |
| J9s, rainbow, ten or higher | 68.230 | 55.662 | +12.568 | 1.22579 |
| J9s, rainbow, nine or lower | 46.073 | 55.662 | -9.589 | 0.82773 |
| J9s, two-tone | 63.094 | 55.662 | +7.432 | 1.13352 |
| J9s, monotone | 60.728 | 55.662 | +5.066 | 1.09101 |
| J9s, paired | 64.800 | 55.662 | +9.138 | 1.16417 |
| 75s, all flops | 36.412 | 43.676 | -7.264 | 0.83368 |
| 75s, rainbow, ten or higher | 31.770 | 43.676 | -11.906 | 0.72740 |
| 75s, rainbow, nine or lower | 53.927 | 43.676 | +10.251 | 1.23471 |
| 75s, two-tone | 36.906 | 43.676 | -6.770 | 0.84499 |
| 75s, monotone | 39.272 | 43.676 | -4.404 | 0.89917 |
| 75s, paired | 35.200 | 43.676 | -8.476 | 0.80593 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, J9s has 66.00%; looking only at deals where they do not, 62.78%. J9s does better with a shared suit, by 3.22 points.
| Deals | Specific deals | Share of deals | J9s wins | Ties | 75s wins | J9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.299 | 1.411 | 33.290 | 66.004 |
| No shared suit | 12 | 75.00 | 62.157 | 1.251 | 36.592 | 62.782 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are J9s in one seat and 75s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average J9s takes back $127.18 of it, which is $27.18 more than it put in, and 75s takes back $72.82, $27.18 less than it put in.
In 1,000 deals of exactly this matchup, expect about 629 won outright by J9s, about 358 won outright by 75s and about 13 split.
The same matchup from the other side
75s versus J9s is this same page seen from the other hand: 36.41% for 75s, 63.59% for J9s.
Keep exploring
The calculator link fills in Js9s against 7h5h, 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 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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