A3s
54.90%
Wins 54.64%, ties 0.52%
76s
45.10%
Wins 44.84%, ties 0.52%
A3s against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A3s | 54.638 | 0.524 | 44.838 | 54.900 |
| 76s | 44.838 | 0.524 | 54.638 | 45.100 |
Both hands are suited hands: A3s and 76s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A3s leads by less than 10 points of equity, so the result of any one deal is close to a toss-up. Of every 100 boards, about 0.52 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, A3s is number 38 and 76s is number 115.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A3s | 14,969,000 | 144,000 | 12,284,000 |
| 76s | 12,284,000 | 144,000 | 14,969,000 |
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) |
|---|---|---|---|---|
| A3s | 1.217 | 1.830 | 2.230 | 0.821 |
| 76s | 0.821 | 2.230 | 1.830 | 1.217 |
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
Paired flops are the best for A3s (61.22%); low rainbow flops (nine high or lower) are the worst (32.49%). 76s is ahead on low rainbow flops (nine high or lower), even though it trails A3s when every flop is counted.
| Flop | Share of flops | A3s wins | Ties | 76s wins | A3s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 58.418 | 0.228 | 41.354 | 58.532 |
| Rainbow, nine or lower | 5.689 | 32.155 | 0.665 | 67.180 | 32.487 |
| Two-tone | 46.727 | 53.448 | 0.279 | 46.273 | 53.587 |
| Monotone | 5.273 | 51.141 | 3.444 | 45.415 | 52.863 |
| Paired | 17.091 | 60.875 | 0.682 | 38.443 | 61.216 |
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
Compared with a random opponent, this matchup shifts A3s from 58.22% by -3.32 points and 76s from 45.37% by -0.27 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A3s, all flops | 54.900 | 58.220 | -3.320 | 0.94297 |
| A3s, rainbow, ten or higher | 58.532 | 58.220 | +0.312 | 1.00536 |
| A3s, rainbow, nine or lower | 32.487 | 58.220 | -25.733 | 0.55800 |
| A3s, two-tone | 53.587 | 58.220 | -4.633 | 0.92042 |
| A3s, monotone | 52.863 | 58.220 | -5.357 | 0.90799 |
| A3s, paired | 61.216 | 58.220 | +2.996 | 1.05146 |
| 76s, all flops | 45.100 | 45.372 | -0.272 | 0.99401 |
| 76s, rainbow, ten or higher | 41.468 | 45.372 | -3.904 | 0.91396 |
| 76s, rainbow, nine or lower | 67.513 | 45.372 | +22.141 | 1.48799 |
| 76s, two-tone | 46.413 | 45.372 | +1.041 | 1.02294 |
| 76s, monotone | 47.137 | 45.372 | +1.765 | 1.03890 |
| 76s, paired | 38.784 | 45.372 | -6.588 | 0.85480 |
Does a shared suit matter?
The suit split reads 56.52% for A3s with a shared suit and 54.36% without one. A3s does better with a shared suit, by 2.16 points.
| Deals | Specific deals | Share of deals | A3s wins | Ties | 76s wins | A3s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 56.215 | 0.604 | 43.181 | 56.517 |
| No shared suit | 12 | 75.00 | 54.112 | 0.497 | 45.391 | 54.360 |
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
A $100 all-in from each player makes a $200 pot, and the exact equity says A3s gets $109.80 of it on average and 76s gets $90.20.
A thousand deals look like this: A3s takes 547, 76s takes 448, 5 are ties.
The same matchup from the other side
If you came looking for 76s against A3s, the numbers are the same with the hands swapped: 45.10% and 54.90%.
Keep exploring
Open the calculator with As3s against 7h6h 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
Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session