ATo vs QJo: preflop equity

ATo against QJo: the numbers

ATo meets QJo, and both are offsuit hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

ATo is ahead, but QJo is far from dead: it takes 410 of every 1,000 deals outright. 0.44% of boards are ties, so the equity of each hand is its win rate plus half of that.

ATo ranks number 19 of 169 starting hands, and QJo ranks number 39, by equity against a random hand.

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.

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

Split by what the flop looks like, ATo peaks at 74.88% on low rainbow flops (nine high or lower) and bottoms out at 52.22% on rainbow flops topped by a ten or better. ATo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of -3.97 points for ATo, from 62.72%, and -16.89 for QJo, from 58.14%.

Does a shared suit matter?

The suit split reads 58.76% for ATo with a shared suit and 58.68% without one. The two rows differ by only 0.08 points, so suits barely change this matchup.

How often this matchup comes up

Counting specific cards, ATo against QJo appears in 144 of the 1,624,350 ordered heads-up deals (0.0089%), and in 288 when the seats are swapped too (0.0177%).

A worked example

With $100 from each side, the $200 pot is split on average as $117.50 for ATo and $82.50 for QJo; the first side gains $17.50 per all-in and the second gives up $17.50.

Scaled to 1,000 deals, that is roughly 585 wins for ATo, 410 for QJo and 5 chopped pots.

The same matchup from the other side

If you came looking for QJo against ATo, the numbers are the same with the hands swapped: 41.25% and 58.75%.

Keep exploring

AsTh against QdJc 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.

• Open AsTh against QdJc in the equity calculator
• ATo combos
• QJo combos
• ATo vs K9o
• ATo vs Q9s
• KJs vs QJo
• All hand matchups