97s
67.16%
Wins 62.39%, ties 9.53%
75s
32.84%
Wins 28.08%, ties 9.53%
97s against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 97s | 62.390 | 9.532 | 28.078 | 67.156 |
| 75s | 28.078 | 9.532 | 62.390 | 32.844 |
The matchup is suited hands on both sides, 97s against 75s. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
A lead of 34.32 points is large but not decisive: 75s still takes about 281 of every 1,000 deals. Of every 100 boards, about 9.53 are split pots, and the equity figures already include them.
For context, 97s sits at number 94 of 169 starting hands and 75s at number 124 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 97s | 12,820,000 | 1,959,000 | 5,769,000 |
| 75s | 5,769,000 | 1,959,000 | 12,820,000 |
The total is exact: 12 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) |
|---|---|---|---|---|
| 97s | 2.045 | 1.603 | 3.562 | 0.489 |
| 75s | 0.489 | 3.562 | 1.603 | 2.045 |
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
Break the boards down by their first three cards and 97s is strongest on rainbow flops topped by a ten or better (70.28%) and weakest on low rainbow flops (nine high or lower) (61.26%). 97s stays ahead on all five textures.
| Flop | Share of flops | 97s wins | Ties | 75s wins | 97s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 65.743 | 9.064 | 25.193 | 70.275 |
| Rainbow, nine or lower | 5.065 | 58.344 | 5.825 | 35.831 | 61.257 |
| Two-tone | 46.543 | 62.440 | 7.808 | 29.752 | 66.344 |
| Monotone | 5.215 | 56.905 | 9.172 | 33.923 | 61.491 |
| Paired | 17.333 | 60.089 | 16.051 | 23.860 | 68.115 |
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, 49.12% for 97s and 43.68% for 75s. This opponent changes them by +18.04 and -10.84 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 97s, all flops | 67.156 | 49.118 | +18.038 | 1.36724 |
| 97s, rainbow, ten or higher | 70.275 | 49.118 | +21.157 | 1.43074 |
| 97s, rainbow, nine or lower | 61.257 | 49.118 | +12.139 | 1.24714 |
| 97s, two-tone | 66.344 | 49.118 | +17.226 | 1.35071 |
| 97s, monotone | 61.491 | 49.118 | +12.373 | 1.25190 |
| 97s, paired | 68.115 | 49.118 | +18.997 | 1.38676 |
| 75s, all flops | 32.844 | 43.676 | -10.832 | 0.75199 |
| 75s, rainbow, ten or higher | 29.725 | 43.676 | -13.951 | 0.68058 |
| 75s, rainbow, nine or lower | 38.743 | 43.676 | -4.933 | 0.88705 |
| 75s, two-tone | 33.656 | 43.676 | -10.020 | 0.77058 |
| 75s, monotone | 38.509 | 43.676 | -5.167 | 0.88170 |
| 75s, paired | 31.885 | 43.676 | -11.791 | 0.73003 |
Does a shared suit matter?
Every legal deal of 97s against 75s leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | 97s wins | Ties | 75s wins | 97s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 62.390 | 9.532 | 28.078 | 67.156 |
How often this matchup comes up
This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. 97s averages $134.32 from the $200, up $34.32; 75s averages $65.68, down $34.32.
Think in thousands: about 624 of 1,000 go to 97s, about 281 go to 75s, and about 95 are chopped.
The same matchup from the other side
Read it from the other side: 75s against 97s is the same matchup with the numbers swapped, so 75s holds 32.84% and 97s holds 67.16%. That address sends you back to this page.
Keep exploring
Try 9s7s against 7h5h 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
Each figure is a complete count over boards. Take the 12 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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