QTo
73.17%
Wins 71.29%, ties 3.78%
JTo
26.83%
Wins 24.93%, ties 3.78%
QTo against JTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTo | 71.286 | 3.776 | 24.938 | 73.174 |
| JTo | 24.938 | 3.776 | 71.286 | 26.826 |
Each side holds one of the offsuit hands: QTo and JTo. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
QTo is the clear favorite, though JTo gets there on roughly one board in 4. Ties are 3.78% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, QTo is number 47 and JTo is number 57.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTo | 131,828,000 | 6,983,000 | 46,118,000 |
| JTo | 46,118,000 | 6,983,000 | 131,828,000 |
The total is exact: 108 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 | 2.728 | 1.403 | 4.010 | 0.367 |
| JTo | 0.367 | 4.010 | 1.403 | 2.728 |
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
Break the boards down by their first three cards and QTo is strongest on low rainbow flops (nine high or lower) (81.19%) and weakest on monotone flops (67.83%). QTo stays ahead on all five textures.
| Flop | Share of flops | QTo wins | Ties | JTo wins | QTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.275 | 68.914 | 3.769 | 27.317 | 70.798 |
| Rainbow, nine or lower | 7.771 | 80.647 | 1.079 | 18.274 | 81.187 |
| Two-tone | 46.477 | 71.247 | 3.027 | 25.726 | 72.761 |
| Monotone | 5.144 | 65.927 | 3.800 | 30.273 | 67.827 |
| Paired | 17.333 | 71.969 | 6.998 | 21.033 | 75.468 |
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
How much does the opponent matter? Compared with its random-hand 57.29%, QTo changes by +15.88 points, and JTo, from 55.25%, by -28.42.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTo, all flops | 73.174 | 57.291 | +15.883 | 1.27723 |
| QTo, rainbow, ten or higher | 70.798 | 57.291 | +13.507 | 1.23576 |
| QTo, rainbow, nine or lower | 81.187 | 57.291 | +23.896 | 1.41710 |
| QTo, two-tone | 72.761 | 57.291 | +15.470 | 1.27002 |
| QTo, monotone | 67.827 | 57.291 | +10.536 | 1.18390 |
| QTo, paired | 75.468 | 57.291 | +18.177 | 1.31727 |
| JTo, all flops | 26.826 | 55.248 | -28.422 | 0.48556 |
| JTo, rainbow, ten or higher | 29.202 | 55.248 | -26.046 | 0.52856 |
| JTo, rainbow, nine or lower | 18.813 | 55.248 | -36.435 | 0.34052 |
| JTo, two-tone | 27.239 | 55.248 | -28.009 | 0.49303 |
| JTo, monotone | 32.173 | 55.248 | -23.075 | 0.58234 |
| JTo, paired | 24.532 | 55.248 | -30.716 | 0.44403 |
Does a shared suit matter?
Split by suits, the deals give QTo 73.27% when the hands overlap in a suit and 72.83% when they do not. QTo does better with a shared suit, by 0.44 points.
| Deals | Specific deals | Share of deals | QTo wins | Ties | JTo wins | QTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 71.370 | 3.806 | 24.824 | 73.273 |
| No shared suit | 24 | 22.22 | 70.993 | 3.671 | 25.336 | 72.829 |
How often this matchup comes up
Exactly 108 specific deals fit this matchup in one seat order, which is 0.0066% of 1,624,350; both orders together give 216, or 0.0133%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. QTo is worth $146.34 on average (+$46.34); JTo is worth $53.66 (-$46.34).
A thousand deals look like this: QTo takes 713, JTo takes 249, 38 are ties.
The same matchup from the other side
The reversed view, JTo against QTo, shows 26.83% for JTo and 73.17% for QTo. It is the same count, so it redirects here.
Keep exploring
QsTh against JdTc 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 108 specific deals of QTo against JTo, 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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