K9o
58.98%
Wins 58.64%, ties 0.68%
65s
41.02%
Wins 40.68%, ties 0.68%
K9o against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9o | 58.638 | 0.679 | 40.683 | 58.978 |
| 65s | 40.683 | 0.679 | 58.638 | 41.022 |
K9o is an offsuit hand and 65s is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
K9o is ahead, but 65s is far from dead: it takes 407 of every 1,000 deals outright. 0.68% of boards are ties, so the equity of each hand is its win rate plus half of that.
For context, K9o sits at number 40 of 169 starting hands and 65s at number 128 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9o | 48,195,000 | 558,000 | 33,438,000 |
| 65s | 33,438,000 | 558,000 | 48,195,000 |
Exact total: 48 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| K9o | 1.438 | 1.705 | 2.458 | 0.696 |
| 65s | 0.696 | 2.458 | 1.705 | 1.438 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
The flop changes the picture. K9o does best on rainbow flops topped by a ten or better, at 64.58%, and worst on low rainbow flops (nine high or lower), at 39.64%. The lead reverses on low rainbow flops (nine high or lower): there 65s is the favorite even though K9o is ahead overall.
| Flop | Share of flops | K9o wins | Ties | 65s wins | K9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 64.415 | 0.333 | 35.252 | 64.581 |
| Rainbow, nine or lower | 5.689 | 39.287 | 0.698 | 60.015 | 39.636 |
| Two-tone | 46.667 | 57.129 | 0.378 | 42.493 | 57.318 |
| Monotone | 5.212 | 56.257 | 2.490 | 41.253 | 57.502 |
| Paired | 17.091 | 61.363 | 1.455 | 37.182 | 62.091 |
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
Compared with a random opponent, this matchup shifts K9o from 57.81% by +1.17 points and 65s from 43.13% by -2.11 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9o, all flops | 58.978 | 57.812 | +1.166 | 1.02017 |
| K9o, rainbow, ten or higher | 64.581 | 57.812 | +6.769 | 1.11709 |
| K9o, rainbow, nine or lower | 39.636 | 57.812 | -18.176 | 0.68560 |
| K9o, two-tone | 57.318 | 57.812 | -0.494 | 0.99146 |
| K9o, monotone | 57.502 | 57.812 | -0.310 | 0.99464 |
| K9o, paired | 62.091 | 57.812 | +4.279 | 1.07402 |
| 65s, all flops | 41.022 | 43.133 | -2.111 | 0.95106 |
| 65s, rainbow, ten or higher | 35.419 | 43.133 | -7.714 | 0.82116 |
| 65s, rainbow, nine or lower | 60.364 | 43.133 | +17.231 | 1.39949 |
| 65s, two-tone | 42.682 | 43.133 | -0.451 | 0.98954 |
| 65s, monotone | 42.498 | 43.133 | -0.635 | 0.98528 |
| 65s, paired | 37.909 | 43.133 | -5.224 | 0.87889 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and K9o holds 59.65%. In 24 they do not, and it holds 58.30%. K9o does better with a shared suit, by 1.35 points.
| Deals | Specific deals | Share of deals | K9o wins | Ties | 65s wins | K9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.292 | 0.720 | 39.988 | 59.652 |
| No shared suit | 24 | 50.00 | 57.985 | 0.638 | 41.377 | 58.304 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. K9o is worth $117.96 on average (+$17.96); 65s is worth $82.04 (-$17.96).
Per 1,000 deals: K9o wins about 586, 65s wins about 407, and about 7 end in a split pot.
The same matchup from the other side
65s versus K9o is this same page seen from the other hand: 41.02% for 65s, 58.98% for K9o.
Keep exploring
The calculator link fills in Ks9h against 6d5d, 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
We counted every case. Each suit pattern of the 48 specific K9o against 65s 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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