QJo
60.94%
Wins 60.49%, ties 0.90%
75s
39.06%
Wins 38.61%, ties 0.90%
QJo against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 60.487 | 0.902 | 38.611 | 60.938 |
| 75s | 38.611 | 0.902 | 60.487 | 39.062 |
QJo, an offsuit hand, plays 75s, a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 0.90% of the outcomes here; each tied board gives both hands half the pot.
For context, QJo sits at number 39 of 169 starting hands and 75s at number 124 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJo | 49,715,000 | 741,000 | 31,735,000 |
| 75s | 31,735,000 | 741,000 | 49,715,000 |
48 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) |
|---|---|---|---|---|
| QJo | 1.560 | 1.653 | 2.590 | 0.641 |
| 75s | 0.641 | 2.590 | 1.653 | 1.560 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: QJo holds 69.67% on rainbow flops topped by a ten or better and 34.12% on low rainbow flops (nine high or lower). The lead reverses on low rainbow flops (nine high or lower): there 75s is the favorite even though QJo is ahead overall.
| Flop | Share of flops | QJo wins | Ties | 75s wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 69.435 | 0.465 | 30.100 | 69.668 |
| Rainbow, nine or lower | 6.313 | 33.782 | 0.678 | 65.540 | 34.121 |
| Two-tone | 46.667 | 59.293 | 0.482 | 40.225 | 59.534 |
| Monotone | 5.212 | 57.840 | 2.558 | 39.602 | 59.119 |
| Paired | 17.091 | 61.480 | 2.258 | 36.262 | 62.609 |
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
A random hand would give QJo 58.14% and 75s 43.68%. Against each other the change is +2.80 points for QJo and -4.62 for 75s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 60.938 | 58.135 | +2.803 | 1.04822 |
| QJo, rainbow, ten or higher | 69.668 | 58.135 | +11.533 | 1.19838 |
| QJo, rainbow, nine or lower | 34.121 | 58.135 | -24.014 | 0.58693 |
| QJo, two-tone | 59.534 | 58.135 | +1.399 | 1.02406 |
| QJo, monotone | 59.119 | 58.135 | +0.984 | 1.01693 |
| QJo, paired | 62.609 | 58.135 | +4.474 | 1.07696 |
| 75s, all flops | 39.062 | 43.676 | -4.614 | 0.89436 |
| 75s, rainbow, ten or higher | 30.332 | 43.676 | -13.344 | 0.69448 |
| 75s, rainbow, nine or lower | 65.879 | 43.676 | +22.203 | 1.50836 |
| 75s, two-tone | 40.466 | 43.676 | -3.210 | 0.92650 |
| 75s, monotone | 40.881 | 43.676 | -2.795 | 0.93601 |
| 75s, paired | 37.391 | 43.676 | -6.285 | 0.85610 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and QJo holds 61.66%. In 24 they do not, and it holds 60.22%. QJo does better with a shared suit, by 1.44 points.
| Deals | Specific deals | Share of deals | QJo wins | Ties | 75s wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.187 | 0.945 | 37.868 | 61.659 |
| No shared suit | 24 | 50.00 | 59.788 | 0.859 | 39.353 | 60.217 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are QJo against 75s, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
Take a $200 pot built from $100 each. QJo's equity of 60.94% is worth $121.88, a $21.88 edge, and 75s' 39.06% is worth $78.12, which is $21.88 under its stake.
Per 1,000 deals: QJo wins about 605, 75s wins about 386, and about 9 end in a split pot.
The same matchup from the other side
Swap the hands and you get 75s with 39.06% against QJo with 60.94%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in QsJh against 7d5d, 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of QJo against 75s, 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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