KTs
74.69%
Wins 73.28%, ties 2.82%
QTo
25.31%
Wins 23.90%, ties 2.82%
KTs against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 73.277 | 2.824 | 23.899 | 74.689 |
| QTo | 23.899 | 2.824 | 73.277 | 25.311 |
KTs, a suited hand, plays QTo, an offsuit hand. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
KTs is the clear favorite, though QTo gets there on roughly one board in 4. A split pot comes up on 2.82% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, KTs is number 22 and QTo is number 47 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 45,170,000 | 1,741,000 | 14,732,000 |
| QTo | 14,732,000 | 1,741,000 | 45,170,000 |
The total is exact: 36 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) |
|---|---|---|---|---|
| KTs | 2.951 | 1.365 | 4.184 | 0.339 |
| QTo | 0.339 | 4.184 | 1.365 | 2.951 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Split by what the flop looks like, KTs peaks at 84.72% on low rainbow flops (nine high or lower) and bottoms out at 66.84% on monotone flops. KTs 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 | KTs wins | Ties | QTo wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 69.905 | 2.417 | 27.678 | 71.113 |
| Rainbow, nine or lower | 7.771 | 83.392 | 2.665 | 13.943 | 84.724 |
| Two-tone | 46.527 | 73.457 | 2.328 | 24.215 | 74.621 |
| Monotone | 5.192 | 64.970 | 3.749 | 31.281 | 66.844 |
| Paired | 17.333 | 75.257 | 4.496 | 20.247 | 77.505 |
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
Relative to a random opponent, KTs changes by +12.90 points (baseline 61.79%) and QTo by -31.98 points (baseline 57.29%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 74.689 | 61.789 | +12.900 | 1.20878 |
| KTs, rainbow, ten or higher | 71.113 | 61.789 | +9.324 | 1.15090 |
| KTs, rainbow, nine or lower | 84.724 | 61.789 | +22.935 | 1.37118 |
| KTs, two-tone | 74.621 | 61.789 | +12.832 | 1.20767 |
| KTs, monotone | 66.844 | 61.789 | +5.055 | 1.08181 |
| KTs, paired | 77.505 | 61.789 | +15.716 | 1.25435 |
| QTo, all flops | 25.311 | 57.291 | -31.980 | 0.44180 |
| QTo, rainbow, ten or higher | 28.887 | 57.291 | -28.404 | 0.50422 |
| QTo, rainbow, nine or lower | 15.276 | 57.291 | -42.015 | 0.26664 |
| QTo, two-tone | 25.379 | 57.291 | -31.912 | 0.44298 |
| QTo, monotone | 33.156 | 57.291 | -24.135 | 0.57873 |
| QTo, paired | 22.495 | 57.291 | -34.796 | 0.39264 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common KTs has 74.50% equity, and with none in common it has 74.79%. KTs does better with no shared suit, by 0.29 points.
| Deals | Specific deals | Share of deals | KTs wins | Ties | QTo wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 73.041 | 2.911 | 24.048 | 74.496 |
| No shared suit | 24 | 66.67 | 73.395 | 2.781 | 23.824 | 74.786 |
How often this matchup comes up
How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are KTs against QTo, and 72 (0.0044%) 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, KTs' average share is $149.38 (a gain of $49.38) and QTo's is $50.62 (a loss of $49.38).
Run 1,000 deals and the tally comes out near 733 for KTs, 239 for QTo and 28 ties.
The same matchup from the other side
Read it from the other side: QTo against KTs is the same matchup with the numbers swapped, so QTo holds 25.31% and KTs holds 74.69%. That address sends you back to this page.
Keep exploring
The calculator link fills in KsTs against QhTd, 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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