KJo
64.60%
Wins 64.27%, ties 0.66%
T9o
35.40%
Wins 35.07%, ties 0.66%
KJo against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 64.268 | 0.659 | 35.073 | 64.597 |
| T9o | 35.073 | 0.659 | 64.268 | 35.403 |
Each side holds one of the offsuit hands: KJo and T9o. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 29.20 point lead is real, and T9o still takes about 351 of every 1,000 deals outright. About 0.66% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Place 26 of 169 belongs to KJo and place 78 belongs to T9o in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 158,467,000 | 1,625,000 | 86,480,000 |
| T9o | 86,480,000 | 1,625,000 | 158,467,000 |
The total is exact: 144 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) |
|---|---|---|---|---|
| KJo | 1.825 | 1.556 | 2.851 | 0.548 |
| T9o | 0.548 | 2.851 | 1.556 | 1.825 |
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
Rainbow flops topped by a ten or better are the best for KJo (67.18%); low rainbow flops (nine high or lower) are the worst (53.85%). KJo stays ahead on all five textures.
| Flop | Share of flops | KJo wins | Ties | T9o wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.110 | 67.023 | 0.308 | 32.669 | 67.177 |
| Rainbow, nine or lower | 7.042 | 53.465 | 0.778 | 45.757 | 53.854 |
| Two-tone | 46.606 | 63.957 | 0.401 | 35.642 | 64.158 |
| Monotone | 5.151 | 62.735 | 1.794 | 35.471 | 63.632 |
| Paired | 17.091 | 66.142 | 1.466 | 32.392 | 66.875 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 60.57%, KJo changes by +4.03 points, and T9o, from 51.53%, by -16.13.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 64.597 | 60.569 | +4.028 | 1.06650 |
| KJo, rainbow, ten or higher | 67.177 | 60.569 | +6.608 | 1.10910 |
| KJo, rainbow, nine or lower | 53.854 | 60.569 | -6.715 | 0.88913 |
| KJo, two-tone | 64.158 | 60.569 | +3.589 | 1.05925 |
| KJo, monotone | 63.632 | 60.569 | +3.063 | 1.05057 |
| KJo, paired | 66.875 | 60.569 | +6.306 | 1.10411 |
| T9o, all flops | 35.403 | 51.532 | -16.129 | 0.68701 |
| T9o, rainbow, ten or higher | 32.823 | 51.532 | -18.709 | 0.63694 |
| T9o, rainbow, nine or lower | 46.146 | 51.532 | -5.386 | 0.89548 |
| T9o, two-tone | 35.842 | 51.532 | -15.690 | 0.69553 |
| T9o, monotone | 36.368 | 51.532 | -15.164 | 0.70574 |
| T9o, paired | 33.125 | 51.532 | -18.407 | 0.64280 |
Does a shared suit matter?
When the hands share a suit, KJo holds 64.70%; when they do not, it holds 64.06%. KJo does better with a shared suit, by 0.64 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | T9o wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 64.367 | 0.675 | 34.958 | 64.704 |
| No shared suit | 24 | 16.67 | 63.774 | 0.580 | 35.646 | 64.064 |
How often this matchup comes up
How often does it happen? 144 of the 1,624,350 ordered deals (0.0089%) are KJo against T9o, and 288 (0.0177%) 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, KJo's average share is $129.20 (a gain of $29.20) and T9o's is $70.80 (a loss of $29.20).
Per 1,000 deals: KJo wins about 643, T9o wins about 351, and about 6 end in a split pot.
The same matchup from the other side
One page covers both views. From T9o's side the equity is 35.40%, and from KJo's side it is 64.60%.
Keep exploring
KsJh against Td9c 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 144 specific deals of KJo 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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