QTo
61.20%
Wins 60.76%, ties 0.88%
98s
38.80%
Wins 38.36%, ties 0.88%
QTo against 98s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTo | 60.755 | 0.880 | 38.365 | 61.195 |
| 98s | 38.365 | 0.880 | 60.755 | 38.805 |
We compare an offsuit hand with a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 22.40 point lead is real, and 98s still takes about 384 of every 1,000 deals outright. The tie share is 0.88%: on those boards the pot is chopped and neither hand wins outright.
By strength against a random hand, QTo holds place 47 of 169 and 98s holds place 83.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTo | 49,935,000 | 723,000 | 31,532,000 |
| 98s | 31,532,000 | 723,000 | 49,935,000 |
The total is exact: 48 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) |
|---|---|---|---|---|
| QTo | 1.577 | 1.646 | 2.607 | 0.634 |
| 98s | 0.634 | 2.607 | 1.646 | 1.577 |
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
Break the boards down by their first three cards and QTo is strongest on rainbow flops topped by a ten or better (68.36%) and weakest on low rainbow flops (nine high or lower) (39.99%). Watch for low rainbow flops (nine high or lower): on those flops 98s holds the better equity.
| Flop | Share of flops | QTo wins | Ties | 98s wins | QTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.125 | 0.471 | 31.404 | 68.361 |
| Rainbow, nine or lower | 6.313 | 39.720 | 0.530 | 59.750 | 39.985 |
| Two-tone | 46.667 | 59.582 | 0.453 | 39.965 | 59.809 |
| Monotone | 5.212 | 58.132 | 2.520 | 39.348 | 59.392 |
| Paired | 17.091 | 61.866 | 2.270 | 35.864 | 63.001 |
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
Relative to a random opponent, QTo changes by +3.91 points (baseline 57.29%) and 98s by -12.00 points (baseline 50.80%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTo, all flops | 61.195 | 57.291 | +3.904 | 1.06814 |
| QTo, rainbow, ten or higher | 68.361 | 57.291 | +11.070 | 1.19322 |
| QTo, rainbow, nine or lower | 39.985 | 57.291 | -17.306 | 0.69793 |
| QTo, two-tone | 59.809 | 57.291 | +2.518 | 1.04395 |
| QTo, monotone | 59.392 | 57.291 | +2.101 | 1.03667 |
| QTo, paired | 63.001 | 57.291 | +5.710 | 1.09967 |
| 98s, all flops | 38.805 | 50.801 | -11.996 | 0.76386 |
| 98s, rainbow, ten or higher | 31.639 | 50.801 | -19.162 | 0.62280 |
| 98s, rainbow, nine or lower | 60.015 | 50.801 | +9.214 | 1.18137 |
| 98s, two-tone | 40.191 | 50.801 | -10.610 | 0.79115 |
| 98s, monotone | 40.608 | 50.801 | -10.193 | 0.79935 |
| 98s, paired | 36.999 | 50.801 | -13.802 | 0.72831 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common QTo has 61.86% equity, and with none in common it has 60.53%. QTo does better with a shared suit, by 1.33 points.
| Deals | Specific deals | Share of deals | QTo wins | Ties | 98s wins | QTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.403 | 0.922 | 37.675 | 61.864 |
| No shared suit | 24 | 50.00 | 60.106 | 0.839 | 39.055 | 60.526 |
How often this matchup comes up
This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. QTo averages $122.40 from the $200, up $22.40; 98s averages $77.60, down $22.40.
Out of 1,000 deals you should see around 607 outright wins for QTo, 384 for 98s, and 9 split pots.
The same matchup from the other side
98s versus QTo is this same page seen from the other hand: 38.80% for 98s, 61.20% for QTo.
Keep exploring
Open the calculator with QsTh against 9d8d 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
We counted every case. Each suit pattern of the 48 specific QTo against 98s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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