KTs
62.99%
Wins 62.64%, ties 0.70%
75s
37.01%
Wins 36.66%, ties 0.70%
KTs against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 62.638 | 0.704 | 36.658 | 62.990 |
| 75s | 36.658 | 0.704 | 62.638 | 37.010 |
KTs meets 75s, and both are suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 25.98 point lead is real, and 75s still takes about 367 of every 1,000 deals outright. A split pot comes up on 0.70% of boards, so the wins and the equity differ by half of that.
Ranked by equity against a random hand, KTs is number 22 of the 169 starting hands and 75s is number 124.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 17,161,000 | 193,000 | 10,043,000 |
| 75s | 10,043,000 | 193,000 | 17,161,000 |
The total is exact: 16 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 | 1.702 | 1.596 | 2.728 | 0.588 |
| 75s | 0.588 | 2.728 | 1.596 | 1.702 |
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
The flop changes the picture. KTs does best on rainbow flops topped by a ten or better, at 70.08%, and worst on low rainbow flops (nine high or lower), at 36.86%. The lead reverses on low rainbow flops (nine high or lower): there 75s is the favorite even though KTs is ahead overall.
| Flop | Share of flops | KTs wins | Ties | 75s wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.911 | 0.337 | 29.752 | 70.079 |
| Rainbow, nine or lower | 6.314 | 36.582 | 0.560 | 62.858 | 36.862 |
| Two-tone | 46.727 | 62.193 | 0.353 | 37.454 | 62.369 |
| Monotone | 5.273 | 58.484 | 3.498 | 38.018 | 60.233 |
| Paired | 17.091 | 64.298 | 1.382 | 34.320 | 64.989 |
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
Start from the random-hand figures, 61.79% for KTs and 43.68% for 75s. This opponent changes them by +1.20 and -6.67 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 62.990 | 61.789 | +1.201 | 1.01944 |
| KTs, rainbow, ten or higher | 70.079 | 61.789 | +8.290 | 1.13417 |
| KTs, rainbow, nine or lower | 36.862 | 61.789 | -24.927 | 0.59658 |
| KTs, two-tone | 62.369 | 61.789 | +0.580 | 1.00939 |
| KTs, monotone | 60.233 | 61.789 | -1.556 | 0.97482 |
| KTs, paired | 64.989 | 61.789 | +3.200 | 1.05179 |
| 75s, all flops | 37.010 | 43.676 | -6.666 | 0.84738 |
| 75s, rainbow, ten or higher | 29.921 | 43.676 | -13.755 | 0.68507 |
| 75s, rainbow, nine or lower | 63.138 | 43.676 | +19.462 | 1.44560 |
| 75s, two-tone | 37.631 | 43.676 | -6.045 | 0.86159 |
| 75s, monotone | 39.767 | 43.676 | -3.909 | 0.91050 |
| 75s, paired | 35.011 | 43.676 | -8.665 | 0.80161 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and KTs holds 65.30%. In 12 they do not, and it holds 62.22%. KTs does better with a shared suit, by 3.08 points.
| Deals | Specific deals | Share of deals | KTs wins | Ties | 75s wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.906 | 0.793 | 34.301 | 65.303 |
| No shared suit | 12 | 75.00 | 61.882 | 0.674 | 37.444 | 62.219 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are KTs in one seat and 75s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average KTs takes back $125.98 of it, which is $25.98 more than it put in, and 75s takes back $74.02, $25.98 less than it put in.
Think in thousands: about 626 of 1,000 go to KTs, about 367 go to 75s, and about 7 are chopped.
The same matchup from the other side
One page covers both views. From 75s' side the equity is 37.01%, and from KTs' side it is 62.99%.
Keep exploring
Open the calculator with KsTs against 7h5h 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 16 specific KTs against 75s 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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