JJ
67.87%
Wins 67.66%, ties 0.40%
Q9s
32.13%
Wins 31.94%, ties 0.40%
JJ against Q9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 67.664 | 0.403 | 31.933 | 67.866 |
| Q9s | 31.933 | 0.403 | 67.664 | 32.134 |
Here a pocket pair (JJ) meets a suited hand (Q9s). The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.
JJ is the clear favorite, though Q9s gets there on roughly one board in 3. The tie share is 0.40%: on those boards the pot is chopped and neither hand wins outright.
Place 4 of 169 belongs to JJ and place 43 belongs to Q9s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 27,807,000 | 166,000 | 13,123,000 |
| Q9s | 13,123,000 | 166,000 | 27,807,000 |
24 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) |
|---|---|---|---|---|
| JJ | 2.112 | 1.478 | 3.132 | 0.473 |
| Q9s | 0.473 | 3.132 | 1.478 | 2.112 |
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
By flop texture, JJ's equity runs from 63.12% on monotone flops up to 79.23% on low rainbow flops (nine high or lower). JJ 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 | JJ wins | Ties | Q9s wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 66.239 | 0.143 | 33.618 | 66.310 |
| Rainbow, nine or lower | 7.042 | 78.752 | 0.961 | 20.287 | 79.232 |
| Two-tone | 46.545 | 65.845 | 0.302 | 33.853 | 65.996 |
| Monotone | 5.212 | 61.923 | 2.393 | 35.684 | 63.119 |
| Paired | 17.334 | 71.732 | 0.210 | 28.058 | 71.837 |
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 -9.60 points for JJ, from 77.47%, and -25.53 for Q9s, from 57.66%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 67.866 | 77.469 | -9.603 | 0.87604 |
| JJ, rainbow, ten or higher | 66.310 | 77.469 | -11.159 | 0.85596 |
| JJ, rainbow, nine or lower | 79.232 | 77.469 | +1.763 | 1.02276 |
| JJ, two-tone | 65.996 | 77.469 | -11.473 | 0.85190 |
| JJ, monotone | 63.119 | 77.469 | -14.350 | 0.81476 |
| JJ, paired | 71.837 | 77.469 | -5.632 | 0.92730 |
| Q9s, all flops | 32.134 | 57.664 | -25.530 | 0.55726 |
| Q9s, rainbow, ten or higher | 33.690 | 57.664 | -23.974 | 0.58425 |
| Q9s, rainbow, nine or lower | 20.768 | 57.664 | -36.896 | 0.36016 |
| Q9s, two-tone | 34.004 | 57.664 | -23.660 | 0.58969 |
| Q9s, monotone | 36.881 | 57.664 | -20.783 | 0.63958 |
| Q9s, paired | 28.163 | 57.664 | -29.501 | 0.48840 |
Does a shared suit matter?
When the hands share a suit, JJ holds 68.11%; when they do not, it holds 67.62%. JJ does better with a shared suit, by 0.49 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | Q9s wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 67.890 | 0.444 | 31.666 | 68.112 |
| No shared suit | 12 | 50.00 | 67.438 | 0.363 | 32.199 | 67.619 |
How often this matchup comes up
JJ against Q9s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. JJ is worth $135.74 on average (+$35.74); Q9s is worth $64.26 (-$35.74).
Per 1,000 deals: JJ wins about 677, Q9s wins about 319, and about 4 end in a split pot.
The same matchup from the other side
If you came looking for Q9s against JJ, the numbers are the same with the hands swapped: 32.13% and 67.87%.
Keep exploring
The calculator link fills in JsJh against Qd9d, 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
Nothing here is simulated. The 24 deals of JJ against Q9s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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