A9s
63.05%
Wins 62.77%, ties 0.57%
43s
36.95%
Wins 36.66%, ties 0.57%
A9s against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9s | 62.765 | 0.570 | 36.665 | 63.050 |
| 43s | 36.665 | 0.570 | 62.765 | 36.950 |
Both hands are suited hands: A9s and 43s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A9s is ahead, but 43s is far from dead: it takes 366 of every 1,000 deals outright. Split pots make up 0.57% of the boards, and both equity figures count them as half a win each.
Place 18 of 169 belongs to A9s and place 150 belongs to 43s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9s | 17,196,000 | 156,000 | 10,045,000 |
| 43s | 10,045,000 | 156,000 | 17,196,000 |
16 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) |
|---|---|---|---|---|
| A9s | 1.706 | 1.593 | 2.727 | 0.586 |
| 43s | 0.586 | 2.727 | 1.593 | 1.706 |
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
A9s prefers rainbow flops topped by a ten or better, where it holds 66.13%, and likes low rainbow flops (nine high or lower) least, where it holds 50.04%. A9s 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 | A9s wins | Ties | 43s wins | A9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.012 | 0.239 | 33.749 | 66.132 |
| Rainbow, nine or lower | 5.689 | 49.597 | 0.880 | 49.523 | 50.037 |
| Two-tone | 46.727 | 62.043 | 0.322 | 37.635 | 62.204 |
| Monotone | 5.273 | 58.236 | 3.654 | 38.110 | 60.063 |
| Paired | 17.091 | 65.726 | 0.682 | 33.592 | 66.067 |
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
Against one random hand instead, A9s holds 62.78% and 43s holds 38.64%. Facing each other changes that by +0.27 points for A9s and -1.69 points for 43s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9s, all flops | 63.050 | 62.781 | +0.269 | 1.00428 |
| A9s, rainbow, ten or higher | 66.132 | 62.781 | +3.351 | 1.05338 |
| A9s, rainbow, nine or lower | 50.037 | 62.781 | -12.744 | 0.79701 |
| A9s, two-tone | 62.204 | 62.781 | -0.577 | 0.99081 |
| A9s, monotone | 60.063 | 62.781 | -2.718 | 0.95671 |
| A9s, paired | 66.067 | 62.781 | +3.286 | 1.05234 |
| 43s, all flops | 36.950 | 38.642 | -1.692 | 0.95621 |
| 43s, rainbow, ten or higher | 33.868 | 38.642 | -4.774 | 0.87646 |
| 43s, rainbow, nine or lower | 49.963 | 38.642 | +11.321 | 1.29297 |
| 43s, two-tone | 37.796 | 38.642 | -0.846 | 0.97811 |
| 43s, monotone | 39.937 | 38.642 | +1.295 | 1.03351 |
| 43s, paired | 33.933 | 38.642 | -4.709 | 0.87814 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and A9s holds 65.38%. In 12 they do not, and it holds 62.27%. A9s does better with a shared suit, by 3.11 points.
| Deals | Specific deals | Share of deals | A9s wins | Ties | 43s wins | A9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.061 | 0.645 | 34.294 | 65.383 |
| No shared suit | 12 | 75.00 | 61.999 | 0.545 | 37.456 | 62.272 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are A9s against 43s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A9s' average share is $126.10 (a gain of $26.10) and 43s' is $73.90 (a loss of $26.10).
A thousand deals look like this: A9s takes 628, 43s takes 366, 6 are ties.
The same matchup from the other side
43s versus A9s is this same page seen from the other hand: 36.95% for 43s, 63.05% for A9s.
Keep exploring
Open the calculator with As9s against 4h3h 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 16 specific deals of A9s against 43s, 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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