A6s
67.69%
Wins 66.46%, ties 2.46%
65s
32.31%
Wins 31.08%, ties 2.46%
A6s against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 66.461 | 2.456 | 31.083 | 67.689 |
| 65s | 31.083 | 2.456 | 66.461 | 32.311 |
Both hands are suited hands: A6s and 65s. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
That is a clear edge, 67.69% to 32.31%, but 65s still wins often enough that one hand proves nothing. Of every 100 boards, about 2.46 are split pots, and the equity figures already include them.
Place 31 of 169 belongs to A6s and place 128 belongs to 65s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 13,656,000 | 505,000 | 6,387,000 |
| 65s | 6,387,000 | 505,000 | 13,656,000 |
Exact total: 12 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) |
|---|---|---|---|---|
| A6s | 2.095 | 1.505 | 3.217 | 0.477 |
| 65s | 0.477 | 3.217 | 1.505 | 2.095 |
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, A6s' equity runs from 47.26% on low rainbow flops (nine high or lower) up to 72.97% on paired flops. The lead reverses on low rainbow flops (nine high or lower): there 65s is the favorite even though A6s is ahead overall.
| Flop | Share of flops | A6s wins | Ties | 65s wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.254 | 72.130 | 1.459 | 26.411 | 72.859 |
| Rainbow, nine or lower | 5.654 | 43.667 | 7.179 | 49.154 | 47.257 |
| Two-tone | 46.543 | 64.973 | 2.177 | 32.850 | 66.061 |
| Monotone | 5.215 | 59.521 | 4.513 | 35.966 | 61.777 |
| Paired | 17.334 | 71.718 | 2.501 | 25.781 | 72.969 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Start from the random-hand figures, 59.91% for A6s and 43.13% for 65s. This opponent changes them by +7.78 and -10.82 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 67.689 | 59.906 | +7.783 | 1.12992 |
| A6s, rainbow, ten or higher | 72.859 | 59.906 | +12.953 | 1.21622 |
| A6s, rainbow, nine or lower | 47.257 | 59.906 | -12.649 | 0.78885 |
| A6s, two-tone | 66.061 | 59.906 | +6.155 | 1.10274 |
| A6s, monotone | 61.777 | 59.906 | +1.871 | 1.03123 |
| A6s, paired | 72.969 | 59.906 | +13.063 | 1.21806 |
| 65s, all flops | 32.311 | 43.133 | -10.822 | 0.74910 |
| 65s, rainbow, ten or higher | 27.141 | 43.133 | -15.992 | 0.62924 |
| 65s, rainbow, nine or lower | 52.743 | 43.133 | +9.610 | 1.22280 |
| 65s, two-tone | 33.939 | 43.133 | -9.194 | 0.78685 |
| 65s, monotone | 38.223 | 43.133 | -4.910 | 0.88617 |
| 65s, paired | 27.031 | 43.133 | -16.102 | 0.62669 |
Does a shared suit matter?
The hands cannot hold a suit in common here, which leaves a single case and a single number: 67.69% for A6s.
| Deals | Specific deals | Share of deals | A6s wins | Ties | 65s wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 66.461 | 2.456 | 31.083 | 67.689 |
How often this matchup comes up
The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A6s gets $135.38 of it on average and 65s gets $64.62.
Think in thousands: about 665 of 1,000 go to A6s, about 311 go to 65s, and about 24 are chopped.
The same matchup from the other side
Swap the hands and you get 65s with 32.31% against A6s with 67.69%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try As6s against 6h5h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 12 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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