KJo
69.79%
Wins 68.57%, ties 2.43%
QJs
30.21%
Wins 29.00%, ties 2.43%
KJo against QJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 68.574 | 2.428 | 28.998 | 69.788 |
| QJs | 28.998 | 2.428 | 68.574 | 30.212 |
The first hand is an offsuit hand; the second is a suited 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.
A lead of 39.58 points is large but not decisive: QJs still takes about 290 of every 1,000 deals. The tie share is 2.43%: on those boards the pot is chopped and neither hand wins outright.
Among the 169 starting hands, KJo is number 26 and QJs is number 28 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 42,271,000 | 1,497,000 | 17,875,000 |
| QJs | 17,875,000 | 1,497,000 | 42,271,000 |
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) |
|---|---|---|---|---|
| KJo | 2.310 | 1.458 | 3.449 | 0.433 |
| QJs | 0.433 | 3.449 | 1.458 | 2.310 |
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
Across the five flop textures KJo's equity moves by 16.60 points, from 65.17% on monotone flops to 81.77% on low rainbow flops (nine high or lower). KJo 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 | KJo wins | Ties | QJs wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 67.044 | 2.251 | 30.705 | 68.170 |
| Rainbow, nine or lower | 7.771 | 81.165 | 1.210 | 17.625 | 81.770 |
| Two-tone | 46.527 | 67.127 | 1.886 | 30.987 | 68.070 |
| Monotone | 5.192 | 63.445 | 3.455 | 33.100 | 65.173 |
| Paired | 17.333 | 70.395 | 4.356 | 25.249 | 72.573 |
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
Each hand has a baseline against a random hand: 60.57% for KJo, 60.26% for QJs. Here the change is +9.22 and -30.05 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 69.788 | 60.569 | +9.219 | 1.15221 |
| KJo, rainbow, ten or higher | 68.170 | 60.569 | +7.601 | 1.12549 |
| KJo, rainbow, nine or lower | 81.770 | 60.569 | +21.201 | 1.35003 |
| KJo, two-tone | 68.070 | 60.569 | +7.501 | 1.12384 |
| KJo, monotone | 65.173 | 60.569 | +4.604 | 1.07601 |
| KJo, paired | 72.573 | 60.569 | +12.004 | 1.19819 |
| QJs, all flops | 30.212 | 60.259 | -30.047 | 0.50137 |
| QJs, rainbow, ten or higher | 31.830 | 60.259 | -28.429 | 0.52822 |
| QJs, rainbow, nine or lower | 18.230 | 60.259 | -42.029 | 0.30253 |
| QJs, two-tone | 31.930 | 60.259 | -28.329 | 0.52988 |
| QJs, monotone | 34.827 | 60.259 | -25.432 | 0.57796 |
| QJs, paired | 27.427 | 60.259 | -32.832 | 0.45515 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common KJo has 70.80% equity, and with none in common it has 69.28%. KJo does better with a shared suit, by 1.52 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | QJs wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 69.545 | 2.509 | 27.946 | 70.799 |
| No shared suit | 24 | 66.67 | 68.089 | 2.387 | 29.524 | 69.282 |
How often this matchup comes up
How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are KJo against QJs, and 72 (0.0044%) if either hand may sit in either seat.
A worked example
Take a $200 pot built from $100 each. KJo's equity of 69.79% is worth $139.58, a $39.58 edge, and QJs' 30.21% is worth $60.42, which is $39.58 under its stake.
Think in thousands: about 686 of 1,000 go to KJo, about 290 go to QJs, and about 24 are chopped.
The same matchup from the other side
The reversed view, QJs against KJo, shows 30.21% for QJs and 69.79% for KJo. It is the same count, so it redirects here.
Keep exploring
Try KsJh against QdJd in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of KJo against QJs, 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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