AA
86.69%
Wins 86.06%, ties 1.27%
A5s
13.31%
Wins 12.67%, ties 1.27%
AA against A5s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 86.056 | 1.274 | 12.670 | 86.693 |
| A5s | 12.670 | 1.274 | 86.056 | 13.307 |
AA, a pocket pair, plays A5s, a suited hand. The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.
This is one of the lopsided matchups: A5s wins only 12.67% of the boards outright. A split pot comes up on 1.27% of boards, so the wins and the equity differ by half of that.
Place 1 of 169 belongs to AA and place 30 belongs to A5s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 17,682,000 | 262,000 | 2,603,000 |
| A5s | 2,603,000 | 262,000 | 17,682,000 |
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) |
|---|---|---|---|---|
| AA | 6.515 | 1.162 | 7.893 | 0.153 |
| A5s | 0.153 | 7.893 | 1.162 | 6.515 |
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 AA is strongest on rainbow flops topped by a ten or better (92.21%) and weakest on monotone flops (76.83%). AA stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | AA wins | Ties | A5s wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.740 | 91.598 | 1.220 | 7.182 | 92.208 |
| Rainbow, nine or lower | 7.042 | 81.485 | 2.403 | 16.112 | 82.686 |
| Two-tone | 46.236 | 84.467 | 1.350 | 14.183 | 85.142 |
| Monotone | 5.151 | 75.649 | 2.359 | 21.992 | 76.828 |
| Paired | 17.831 | 87.608 | 0.393 | 11.999 | 87.805 |
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
The table below sets each hand against its own random-hand baseline: a change of +1.49 points for AA, from 85.20%, and -46.61 for A5s, from 59.92%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 86.693 | 85.204 | +1.489 | 1.01748 |
| AA, rainbow, ten or higher | 92.208 | 85.204 | +7.004 | 1.08220 |
| AA, rainbow, nine or lower | 82.686 | 85.204 | -2.518 | 0.97045 |
| AA, two-tone | 85.142 | 85.204 | -0.062 | 0.99927 |
| AA, monotone | 76.828 | 85.204 | -8.376 | 0.90169 |
| AA, paired | 87.805 | 85.204 | +2.601 | 1.03053 |
| A5s, all flops | 13.307 | 59.923 | -46.616 | 0.22207 |
| A5s, rainbow, ten or higher | 7.792 | 59.923 | -52.131 | 0.13003 |
| A5s, rainbow, nine or lower | 17.314 | 59.923 | -42.609 | 0.28894 |
| A5s, two-tone | 14.858 | 59.923 | -45.065 | 0.24795 |
| A5s, monotone | 23.172 | 59.923 | -36.751 | 0.38670 |
| A5s, paired | 12.195 | 59.923 | -47.728 | 0.20351 |
Does a shared suit matter?
For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.
| Deals | Specific deals | Share of deals | AA wins | Ties | A5s wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 86.056 | 1.274 | 12.670 | 86.693 |
How often this matchup comes up
Counting specific cards, AA against A5s appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AA is worth $173.38 on average (+$73.38); A5s is worth $26.62 (-$73.38).
Out of 1,000 deals you should see around 860 outright wins for AA, 127 for A5s, and 13 split pots.
The same matchup from the other side
The mirror image, A5s against AA, is 13.31% to 86.69%, and its address redirects to this page.
Keep exploring
Open the calculator with AsAh against Ad5d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 12 specific deals of AA against A5s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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