77
79.85%
Wins 79.17%, ties 1.35%
54s
20.15%
Wins 19.48%, ties 1.35%
77 against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 79.174 | 1.345 | 19.481 | 79.847 |
| 54s | 19.481 | 1.345 | 79.174 | 20.153 |
The matchup pits a pocket pair against a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
77 is well ahead, and 54s needs a specific kind of board to catch up. The tie share is 1.35%: on those boards the pot is chopped and neither hand wins outright.
Place 9 of 169 belongs to 77 and place 136 belongs to 54s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 32,537,000 | 553,000 | 8,006,000 |
| 54s | 8,006,000 | 553,000 | 32,537,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| 77 | 3.962 | 1.263 | 5.133 | 0.252 |
| 54s | 0.252 | 5.133 | 1.263 | 3.962 |
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
If you know the kind of flop that came, the numbers shift: 77 holds 83.80% on rainbow flops topped by a ten or better and 71.17% on low rainbow flops (nine high or lower). 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | 54s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 83.379 | 0.837 | 15.784 | 83.798 |
| Rainbow, nine or lower | 5.065 | 70.869 | 0.599 | 28.532 | 71.169 |
| Two-tone | 46.545 | 77.797 | 0.750 | 21.453 | 78.172 |
| Monotone | 5.212 | 72.963 | 2.846 | 24.191 | 74.386 |
| Paired | 17.334 | 80.898 | 3.467 | 15.635 | 82.631 |
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
Each hand has a baseline against a random hand: 66.24% for 77, 41.45% for 54s. Here the change is +13.61 and -21.30 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 79.847 | 66.236 | +13.611 | 1.20549 |
| 77, rainbow, ten or higher | 83.798 | 66.236 | +17.562 | 1.26514 |
| 77, rainbow, nine or lower | 71.169 | 66.236 | +4.933 | 1.07448 |
| 77, two-tone | 78.172 | 66.236 | +11.936 | 1.18020 |
| 77, monotone | 74.386 | 66.236 | +8.150 | 1.12304 |
| 77, paired | 82.631 | 66.236 | +16.395 | 1.24752 |
| 54s, all flops | 20.153 | 41.453 | -21.300 | 0.48617 |
| 54s, rainbow, ten or higher | 16.202 | 41.453 | -25.251 | 0.39085 |
| 54s, rainbow, nine or lower | 28.831 | 41.453 | -12.622 | 0.69551 |
| 54s, two-tone | 21.828 | 41.453 | -19.625 | 0.52657 |
| 54s, monotone | 25.614 | 41.453 | -15.839 | 0.61790 |
| 54s, paired | 17.369 | 41.453 | -24.084 | 0.41900 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (77 at 80.40%) and 12 do not (79.29%). 77 does better with a shared suit, by 1.11 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | 54s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.709 | 1.386 | 18.905 | 80.402 |
| No shared suit | 12 | 50.00 | 78.639 | 1.305 | 20.056 | 79.292 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, 77's average share is $159.70 (a gain of $59.70) and 54s' is $40.30 (a loss of $59.70).
Per 1,000 deals: 77 wins about 792, 54s wins about 195, and about 13 end in a split pot.
The same matchup from the other side
If you came looking for 54s against 77, the numbers are the same with the hands swapped: 20.15% and 79.85%.
Keep exploring
7s7h against 5d4d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
This is an exact count with no sampling. For the 24 ways to deal one 77 and one 54s 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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