KTs
72.55%
Wins 70.99%, ties 3.12%
T9o
27.45%
Wins 25.89%, ties 3.12%
KTs against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 70.992 | 3.118 | 25.890 | 72.551 |
| T9o | 25.890 | 3.118 | 70.992 | 27.449 |
The first hand is a suited hand; the second is an offsuit hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
KTs is well ahead, and T9o needs a specific kind of board to catch up. 3.12% of boards are ties, so the equity of each hand is its win rate plus half of that.
By strength against a random hand, KTs holds place 22 of 169 and T9o holds place 78.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 43,762,000 | 1,922,000 | 15,959,000 |
| T9o | 15,959,000 | 1,922,000 | 43,762,000 |
36 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) |
|---|---|---|---|---|
| KTs | 2.643 | 1.409 | 3.862 | 0.378 |
| T9o | 0.378 | 3.862 | 1.409 | 2.643 |
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
If you know the kind of flop that came, the numbers shift: KTs holds 76.12% on paired flops and 59.18% on low rainbow flops (nine high or lower). 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 | T9o wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 74.354 | 2.855 | 22.791 | 75.782 |
| Rainbow, nine or lower | 7.042 | 57.815 | 2.729 | 39.456 | 59.180 |
| Two-tone | 46.527 | 71.061 | 2.647 | 26.292 | 72.384 |
| Monotone | 5.192 | 63.407 | 3.982 | 32.611 | 65.398 |
| Paired | 17.334 | 73.800 | 4.642 | 21.558 | 76.121 |
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
The table below sets each hand against its own random-hand baseline: a change of +10.76 points for KTs, from 61.79%, and -24.08 for T9o, from 51.53%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 72.551 | 61.789 | +10.762 | 1.17417 |
| KTs, rainbow, ten or higher | 75.782 | 61.789 | +13.993 | 1.22646 |
| KTs, rainbow, nine or lower | 59.180 | 61.789 | -2.609 | 0.95778 |
| KTs, two-tone | 72.384 | 61.789 | +10.595 | 1.17147 |
| KTs, monotone | 65.398 | 61.789 | +3.609 | 1.05841 |
| KTs, paired | 76.121 | 61.789 | +14.332 | 1.23195 |
| T9o, all flops | 27.449 | 51.532 | -24.083 | 0.53266 |
| T9o, rainbow, ten or higher | 24.218 | 51.532 | -27.314 | 0.46996 |
| T9o, rainbow, nine or lower | 40.820 | 51.532 | -10.712 | 0.79213 |
| T9o, two-tone | 27.616 | 51.532 | -23.916 | 0.53590 |
| T9o, monotone | 34.602 | 51.532 | -16.930 | 0.67147 |
| T9o, paired | 23.879 | 51.532 | -27.653 | 0.46338 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (KTs at 72.30%) and 24 do not (72.68%). KTs does better with no shared suit, by 0.38 points.
| Deals | Specific deals | Share of deals | KTs wins | Ties | T9o wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 70.683 | 3.230 | 26.087 | 72.298 |
| No shared suit | 24 | 66.67 | 71.147 | 3.062 | 25.791 | 72.678 |
How often this matchup comes up
The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. KTs is worth $145.10 on average (+$45.10); T9o is worth $54.90 (-$45.10).
Out of 1,000 deals you should see around 710 outright wins for KTs, 259 for T9o, and 31 split pots.
The same matchup from the other side
T9o versus KTs is this same page seen from the other hand: 27.45% for T9o, 72.55% for KTs.
Keep exploring
The calculator link fills in KsTs against Th9d, 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of KTs against T9o, 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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