55
81.07%
Wins 78.46%, ties 5.21%
54s
18.93%
Wins 16.33%, ties 5.21%
55 against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 55 | 78.458 | 5.214 | 16.328 | 81.065 |
| 54s | 16.328 | 5.214 | 78.458 | 18.935 |
We compare a pocket pair with a suited hand. One hand holds a card of the same rank as the pair, which removes a card the pair needs and makes the pair a bigger favorite.
This is one of the lopsided matchups: 54s wins only 16.33% of the boards outright. About 5.21% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
For context, 55 sits at number 27 of 169 starting hands and 54s at number 136 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 55 | 16,121,000 | 1,071,000 | 3,355,000 |
| 54s | 3,355,000 | 1,071,000 | 16,121,000 |
12 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) |
|---|---|---|---|---|
| 55 | 4.281 | 1.275 | 6.124 | 0.234 |
| 54s | 0.234 | 6.124 | 1.275 | 4.281 |
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 55 is strongest on rainbow flops topped by a ten or better (86.41%) and weakest on monotone flops (73.32%). 55 stays ahead on all five textures.
| Flop | Share of flops | 55 wins | Ties | 54s wins | 55 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.786 | 84.848 | 3.114 | 12.038 | 86.405 |
| Rainbow, nine or lower | 4.995 | 69.915 | 9.058 | 21.027 | 74.444 |
| Two-tone | 46.236 | 78.172 | 3.803 | 18.025 | 80.073 |
| Monotone | 5.152 | 71.014 | 4.618 | 24.368 | 73.323 |
| Paired | 17.831 | 74.502 | 11.005 | 14.493 | 80.004 |
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, 55 holds 60.33% and 54s holds 41.45%. Facing each other changes that by +20.74 points for 55 and -22.52 points for 54s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 55, all flops | 81.065 | 60.325 | +20.740 | 1.34380 |
| 55, rainbow, ten or higher | 86.405 | 60.325 | +26.080 | 1.43232 |
| 55, rainbow, nine or lower | 74.444 | 60.325 | +14.119 | 1.23405 |
| 55, two-tone | 80.073 | 60.325 | +19.748 | 1.32736 |
| 55, monotone | 73.323 | 60.325 | +12.998 | 1.21547 |
| 55, paired | 80.004 | 60.325 | +19.679 | 1.32622 |
| 54s, all flops | 18.935 | 41.453 | -22.518 | 0.45678 |
| 54s, rainbow, ten or higher | 13.595 | 41.453 | -27.858 | 0.32796 |
| 54s, rainbow, nine or lower | 25.556 | 41.453 | -15.897 | 0.61651 |
| 54s, two-tone | 19.927 | 41.453 | -21.526 | 0.48071 |
| 54s, monotone | 26.677 | 41.453 | -14.776 | 0.64355 |
| 54s, paired | 19.996 | 41.453 | -21.457 | 0.48238 |
Does a shared suit matter?
A shared suit is impossible for this matchup, so 55's 81.07% is the answer for every suit pattern.
| Deals | Specific deals | Share of deals | 55 wins | Ties | 54s wins | 55 equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 78.458 | 5.214 | 16.328 | 81.065 |
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
Take a $200 pot built from $100 each. 55's equity of 81.07% is worth $162.14, a $62.14 edge, and 54s' 18.93% is worth $37.86, which is $62.14 under its stake.
Per 1,000 deals: 55 wins about 785, 54s wins about 163, and about 52 end in a split pot.
The same matchup from the other side
The mirror image, 54s against 55, is 18.93% to 81.07%, and its address redirects to this page.
Keep exploring
Open the calculator with 5s5h against 5d4d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one 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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