A4s
54.73%
Wins 54.48%, ties 0.51%
98s
45.27%
Wins 45.01%, ties 0.51%
A4s against 98s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A4s | 54.481 | 0.506 | 45.013 | 54.734 |
| 98s | 45.013 | 0.506 | 54.481 | 45.266 |
Here suited hands face each other, A4s on one side and 98s on the other. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
With only 9.46 points between them, the board decides this matchup far more than the cards in hand. A split pot comes up on 0.51% of boards, so the wins and the equity differ by half of that.
The hand ranking puts A4s at 35 and 98s at 83 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A4s | 14,926,000 | 139,000 | 12,332,000 |
| 98s | 12,332,000 | 139,000 | 14,926,000 |
Exact total: 16 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) |
|---|---|---|---|---|
| A4s | 1.209 | 1.836 | 2.222 | 0.827 |
| 98s | 0.827 | 2.222 | 1.836 | 1.209 |
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
If you know the kind of flop that came, the numbers shift: A4s holds 60.61% on paired flops and 38.03% on low rainbow flops (nine high or lower). A4s is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | A4s wins | Ties | 98s wins | A4s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 57.071 | 0.204 | 42.725 | 57.173 |
| Rainbow, nine or lower | 5.689 | 37.700 | 0.660 | 61.640 | 38.030 |
| Two-tone | 46.727 | 53.385 | 0.265 | 46.350 | 53.518 |
| Monotone | 5.273 | 51.123 | 3.428 | 45.449 | 52.837 |
| Paired | 17.091 | 60.278 | 0.661 | 39.061 | 60.608 |
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
Against one random hand instead, A4s holds 59.03% and 98s holds 50.80%. Facing each other changes that by -4.30 points for A4s and -5.53 points for 98s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A4s, all flops | 54.734 | 59.034 | -4.300 | 0.92716 |
| A4s, rainbow, ten or higher | 57.173 | 59.034 | -1.861 | 0.96848 |
| A4s, rainbow, nine or lower | 38.030 | 59.034 | -21.004 | 0.64421 |
| A4s, two-tone | 53.518 | 59.034 | -5.516 | 0.90656 |
| A4s, monotone | 52.837 | 59.034 | -6.197 | 0.89503 |
| A4s, paired | 60.608 | 59.034 | +1.574 | 1.02666 |
| 98s, all flops | 45.266 | 50.801 | -5.535 | 0.89105 |
| 98s, rainbow, ten or higher | 42.827 | 50.801 | -7.974 | 0.84303 |
| 98s, rainbow, nine or lower | 61.970 | 50.801 | +11.169 | 1.21986 |
| 98s, two-tone | 46.482 | 50.801 | -4.319 | 0.91498 |
| 98s, monotone | 47.163 | 50.801 | -3.638 | 0.92839 |
| 98s, paired | 39.392 | 50.801 | -11.409 | 0.77542 |
Does a shared suit matter?
Split by suits, the deals give A4s 56.31% when the hands overlap in a suit and 54.21% when they do not. A4s does better with a shared suit, by 2.10 points.
| Deals | Specific deals | Share of deals | A4s wins | Ties | 98s wins | A4s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 56.014 | 0.588 | 43.398 | 56.308 |
| No shared suit | 12 | 75.00 | 53.970 | 0.479 | 45.551 | 54.209 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are A4s against 98s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. A4s averages $109.46 from the $200, up $9.46; 98s averages $90.54, down $9.46.
Out of 1,000 deals you should see around 545 outright wins for A4s, 450 for 98s, and 5 split pots.
The same matchup from the other side
98s against A4s adds nothing new: it is 45.27% for 98s and 54.73% for A4s, the same figures reversed.
Keep exploring
As4s against 9h8h 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
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.
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