97s
63.33%
Wins 61.88%, ties 2.89%
53s
36.67%
Wins 35.23%, ties 2.89%
97s against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 97s | 61.881 | 2.889 | 35.230 | 63.325 |
| 53s | 35.230 | 2.889 | 61.881 | 36.675 |
97s and 53s are both suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
97s is ahead, but 53s is far from dead: it takes 352 of every 1,000 deals outright. Ties are 2.89% of the outcomes here; each tied board gives both hands half the pot.
Ranked by equity against a random hand, 97s is number 94 of the 169 starting hands and 53s is number 146.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 97s | 16,953,000 | 791,000 | 9,652,000 |
| 53s | 9,652,000 | 791,000 | 16,953,000 |
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) |
|---|---|---|---|---|
| 97s | 1.727 | 1.616 | 2.838 | 0.579 |
| 53s | 0.579 | 2.838 | 1.616 | 1.727 |
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. 97s does best on rainbow flops topped by a ten or better, at 65.00%, and worst on low rainbow flops (nine high or lower), at 59.50%. 97s stays ahead on all five textures.
| Flop | Share of flops | 97s wins | Ties | 53s wins | 97s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 63.901 | 2.207 | 33.892 | 65.004 |
| Rainbow, nine or lower | 5.065 | 59.222 | 0.545 | 40.233 | 59.495 |
| Two-tone | 46.727 | 62.178 | 1.732 | 36.090 | 63.044 |
| Monotone | 5.273 | 58.519 | 4.490 | 36.991 | 60.764 |
| Paired | 17.091 | 59.835 | 7.287 | 32.878 | 63.479 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Against one random hand instead, 97s holds 49.12% and 53s holds 39.69%. Facing each other changes that by +14.21 points for 97s and -3.02 points for 53s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 97s, all flops | 63.325 | 49.118 | +14.207 | 1.28924 |
| 97s, rainbow, ten or higher | 65.004 | 49.118 | +15.886 | 1.32343 |
| 97s, rainbow, nine or lower | 59.495 | 49.118 | +10.377 | 1.21127 |
| 97s, two-tone | 63.044 | 49.118 | +13.926 | 1.28352 |
| 97s, monotone | 60.764 | 49.118 | +11.646 | 1.23710 |
| 97s, paired | 63.479 | 49.118 | +14.361 | 1.29238 |
| 53s, all flops | 36.675 | 39.693 | -3.018 | 0.92397 |
| 53s, rainbow, ten or higher | 34.996 | 39.693 | -4.697 | 0.88167 |
| 53s, rainbow, nine or lower | 40.505 | 39.693 | +0.812 | 1.02046 |
| 53s, two-tone | 36.956 | 39.693 | -2.737 | 0.93105 |
| 53s, monotone | 39.236 | 39.693 | -0.457 | 0.98849 |
| 53s, paired | 36.521 | 39.693 | -3.172 | 0.92009 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, 97s has 65.74%; looking only at deals where they do not, 62.52%. 97s does better with a shared suit, by 3.22 points.
| Deals | Specific deals | Share of deals | 97s wins | Ties | 53s wins | 97s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.180 | 3.110 | 32.710 | 65.735 |
| No shared suit | 12 | 75.00 | 61.114 | 2.816 | 36.070 | 62.522 |
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
With $100 from each side, the $200 pot is split on average as $126.66 for 97s and $73.34 for 53s; the first side gains $26.66 per all-in and the second gives up $26.66.
In 1,000 deals of exactly this matchup, expect about 619 won outright by 97s, about 352 won outright by 53s and about 29 split.
The same matchup from the other side
One page covers both views. From 53s' side the equity is 36.67%, and from 97s' side it is 63.33%.
Keep exploring
The calculator link fills in 9s7s against 5h3h, 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
This is an exact count with no sampling. For the 16 ways to deal one 97s and one 53s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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