QTo
61.26%
Wins 60.79%, ties 0.94%
43s
38.74%
Wins 38.27%, ties 0.94%
QTo against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTo | 60.786 | 0.944 | 38.270 | 61.258 |
| 43s | 38.270 | 0.944 | 60.786 | 38.742 |
QTo, an offsuit hand, plays 43s, a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
QTo is ahead, but 43s is far from dead: it takes 383 of every 1,000 deals outright. Split pots make up 0.94% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, QTo is number 47 and 43s is number 150 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTo | 49,960,000 | 776,000 | 31,454,000 |
| 43s | 31,454,000 | 776,000 | 49,960,000 |
48 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) |
|---|---|---|---|---|
| QTo | 1.581 | 1.645 | 2.613 | 0.632 |
| 43s | 0.632 | 2.613 | 1.645 | 1.581 |
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 QTo is strongest on rainbow flops topped by a ten or better (69.17%) and weakest on low rainbow flops (nine high or lower) (37.28%). Watch for low rainbow flops (nine high or lower): on those flops 43s holds the better equity.
| Flop | Share of flops | QTo wins | Ties | 43s wins | QTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.924 | 0.489 | 30.587 | 69.169 |
| Rainbow, nine or lower | 6.313 | 36.870 | 0.819 | 62.311 | 37.279 |
| Two-tone | 46.667 | 59.505 | 0.525 | 39.970 | 59.768 |
| Monotone | 5.212 | 58.028 | 2.706 | 39.266 | 59.381 |
| Paired | 17.091 | 62.191 | 2.255 | 35.554 | 63.318 |
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
Each hand has a baseline against a random hand: 57.29% for QTo, 38.64% for 43s. Here the change is +3.97 and +0.10 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTo, all flops | 61.258 | 57.291 | +3.967 | 1.06924 |
| QTo, rainbow, ten or higher | 69.169 | 57.291 | +11.878 | 1.20733 |
| QTo, rainbow, nine or lower | 37.279 | 57.291 | -20.012 | 0.65070 |
| QTo, two-tone | 59.768 | 57.291 | +2.477 | 1.04324 |
| QTo, monotone | 59.381 | 57.291 | +2.090 | 1.03648 |
| QTo, paired | 63.318 | 57.291 | +6.027 | 1.10520 |
| 43s, all flops | 38.742 | 38.642 | +0.100 | 1.00259 |
| 43s, rainbow, ten or higher | 30.831 | 38.642 | -7.811 | 0.79786 |
| 43s, rainbow, nine or lower | 62.721 | 38.642 | +24.079 | 1.62313 |
| 43s, two-tone | 40.232 | 38.642 | +1.590 | 1.04115 |
| 43s, monotone | 40.619 | 38.642 | +1.977 | 1.05116 |
| 43s, paired | 36.682 | 38.642 | -1.960 | 0.94928 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and QTo holds 61.98%. In 24 they do not, and it holds 60.54%. QTo does better with a shared suit, by 1.44 points.
| Deals | Specific deals | Share of deals | QTo wins | Ties | 43s wins | QTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.488 | 0.981 | 37.531 | 61.978 |
| No shared suit | 24 | 50.00 | 60.085 | 0.906 | 39.009 | 60.538 |
How often this matchup comes up
You will meet this exact matchup 0.0059% of the time in a random heads-up deal: 96 of 1,624,350, counting either seat order.
A worked example
Put $100 each into a $200 pot and deal every board once: QTo averages $122.52 back, ahead of its $100 by $22.52, while 43s averages $77.48, short of its $100 by $22.52.
In 1,000 deals of exactly this matchup, expect about 608 won outright by QTo, about 383 won outright by 43s and about 9 split.
The same matchup from the other side
Read it from the other side: 43s against QTo is the same matchup with the numbers swapped, so 43s holds 38.74% and QTo holds 61.26%. That address sends you back to this page.
Keep exploring
The calculator link fills in QsTh against 4d3d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
This is an exact count with no sampling. For the 48 ways to deal one QTo and one 43s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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