97s
62.43%
Wins 60.99%, ties 2.89%
54s
37.57%
Wins 36.12%, ties 2.89%
97s against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 97s | 60.990 | 2.888 | 36.122 | 62.434 |
| 54s | 36.122 | 2.888 | 60.990 | 37.566 |
Each side holds one of the suited hands: 97s and 54s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
97s is ahead, but 54s is far from dead: it takes 361 of every 1,000 deals outright. The tie share is 2.89%: on those boards the pot is chopped and neither hand wins outright.
Place 94 of 169 belongs to 97s and place 136 belongs to 54s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 97s | 16,709,000 | 791,000 | 9,896,000 |
| 54s | 9,896,000 | 791,000 | 16,709,000 |
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 | 1.662 | 1.640 | 2.768 | 0.602 |
| 54s | 0.602 | 2.768 | 1.640 | 1.662 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for 97s (64.22%); low rainbow flops (nine high or lower) are the worst (57.38%). 97s stays ahead on all five textures.
| Flop | Share of flops | 97s wins | Ties | 54s wins | 97s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 63.115 | 2.207 | 34.678 | 64.218 |
| Rainbow, nine or lower | 5.065 | 57.102 | 0.545 | 42.353 | 57.375 |
| Two-tone | 46.727 | 61.277 | 1.731 | 36.992 | 62.142 |
| Monotone | 5.273 | 57.814 | 4.481 | 37.705 | 60.055 |
| Paired | 17.091 | 59.127 | 7.283 | 33.590 | 62.768 |
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
Against one random hand instead, 97s holds 49.12% and 54s holds 41.45%. Facing each other changes that by +13.31 points for 97s and -3.88 points for 54s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 97s, all flops | 62.434 | 49.118 | +13.316 | 1.27110 |
| 97s, rainbow, ten or higher | 64.218 | 49.118 | +15.100 | 1.30742 |
| 97s, rainbow, nine or lower | 57.375 | 49.118 | +8.257 | 1.16811 |
| 97s, two-tone | 62.142 | 49.118 | +13.024 | 1.26516 |
| 97s, monotone | 60.055 | 49.118 | +10.937 | 1.22267 |
| 97s, paired | 62.768 | 49.118 | +13.650 | 1.27790 |
| 54s, all flops | 37.566 | 41.453 | -3.887 | 0.90623 |
| 54s, rainbow, ten or higher | 35.782 | 41.453 | -5.671 | 0.86319 |
| 54s, rainbow, nine or lower | 42.625 | 41.453 | +1.172 | 1.02827 |
| 54s, two-tone | 37.858 | 41.453 | -3.595 | 0.91328 |
| 54s, monotone | 39.945 | 41.453 | -1.508 | 0.96362 |
| 54s, paired | 37.232 | 41.453 | -4.221 | 0.89817 |
Does a shared suit matter?
When the hands share a suit, 97s holds 64.76%; when they do not, it holds 61.66%. 97s does better with a shared suit, by 3.10 points.
| Deals | Specific deals | Share of deals | 97s wins | Ties | 54s wins | 97s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.207 | 3.110 | 33.683 | 64.762 |
| No shared suit | 12 | 75.00 | 60.251 | 2.815 | 36.934 | 61.659 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
Take a $200 pot built from $100 each. 97s' equity of 62.43% is worth $124.86, a $24.86 edge, and 54s' 37.57% is worth $75.14, which is $24.86 under its stake.
Think in thousands: about 610 of 1,000 go to 97s, about 361 go to 54s, and about 29 are chopped.
The same matchup from the other side
54s against 97s adds nothing new: it is 37.57% for 54s and 62.43% for 97s, the same figures reversed.
Keep exploring
The calculator link fills in 9s7s against 5h4h, 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
We counted every case. Each suit pattern of the 16 specific 97s against 54s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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