A5s
56.07%
Wins 55.81%, ties 0.51%
76s
43.93%
Wins 43.68%, ties 0.51%
A5s against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A5s | 55.811 | 0.510 | 43.679 | 56.066 |
| 76s | 43.679 | 0.510 | 55.811 | 43.934 |
Both hands are suited hands: A5s and 76s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 12.14 point lead is real, and 76s still takes about 437 of every 1,000 deals outright. Split pots make up 0.51% of the boards, and both equity figures count them as half a win each.
A5s ranks number 30 of 169 starting hands, and 76s ranks number 115, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A5s | 15,290,000 | 140,000 | 11,967,000 |
| 76s | 11,967,000 | 140,000 | 15,290,000 |
The total is exact: 16 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) |
|---|---|---|---|---|
| A5s | 1.276 | 1.792 | 2.289 | 0.784 |
| 76s | 0.784 | 2.289 | 1.792 | 1.276 |
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
By flop texture, A5s' equity runs from 36.27% on low rainbow flops (nine high or lower) up to 61.94% on paired flops. On low rainbow flops (nine high or lower) the numbers flip and 76s is the one ahead.
| Flop | Share of flops | A5s wins | Ties | 76s wins | A5s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 59.294 | 0.228 | 40.478 | 59.408 |
| Rainbow, nine or lower | 5.689 | 35.988 | 0.570 | 63.442 | 36.273 |
| Two-tone | 46.727 | 54.659 | 0.265 | 45.076 | 54.792 |
| Monotone | 5.273 | 51.955 | 3.435 | 44.610 | 53.673 |
| Paired | 17.091 | 61.608 | 0.673 | 37.719 | 61.944 |
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
Compared with a random opponent, this matchup shifts A5s from 59.92% by -3.85 points and 76s from 45.37% by -1.44 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A5s, all flops | 56.066 | 59.923 | -3.857 | 0.93563 |
| A5s, rainbow, ten or higher | 59.408 | 59.923 | -0.515 | 0.99141 |
| A5s, rainbow, nine or lower | 36.273 | 59.923 | -23.650 | 0.60533 |
| A5s, two-tone | 54.792 | 59.923 | -5.131 | 0.91437 |
| A5s, monotone | 53.673 | 59.923 | -6.250 | 0.89570 |
| A5s, paired | 61.944 | 59.923 | +2.021 | 1.03373 |
| 76s, all flops | 43.934 | 45.372 | -1.438 | 0.96831 |
| 76s, rainbow, ten or higher | 40.592 | 45.372 | -4.780 | 0.89465 |
| 76s, rainbow, nine or lower | 63.727 | 45.372 | +18.355 | 1.40454 |
| 76s, two-tone | 45.208 | 45.372 | -0.164 | 0.99639 |
| 76s, monotone | 46.327 | 45.372 | +0.955 | 1.02105 |
| 76s, paired | 38.056 | 45.372 | -7.316 | 0.83876 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (A5s at 57.86%) and 12 do not (55.47%). A5s does better with a shared suit, by 2.39 points.
| Deals | Specific deals | Share of deals | A5s wins | Ties | 76s wins | A5s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 57.567 | 0.587 | 41.846 | 57.861 |
| No shared suit | 12 | 75.00 | 55.226 | 0.484 | 44.290 | 55.468 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are A5s against 76s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Take a $200 pot built from $100 each. A5s' equity of 56.07% is worth $112.14, a $12.14 edge, and 76s' 43.93% is worth $87.86, which is $12.14 under its stake.
In 1,000 deals of exactly this matchup, expect about 558 won outright by A5s, about 437 won outright by 76s and about 5 split.
The same matchup from the other side
76s versus A5s is this same page seen from the other hand: 43.93% for 76s, 56.07% for A5s.
Keep exploring
As5s against 7h6h 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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