AQo vs 44: preflop equity

AQo against 44: the numbers

The matchup pits an offsuit hand against a pocket pair. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.

44 leads by less than 8 points of equity, so the result of any one deal is close to a toss-up. 0.49% of boards are ties, so the equity of each hand is its win rate plus half of that.

For context, AQo sits at number 14 of 169 starting hands and 44 at number 48 when each is run against a random hand.

72 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.

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. 44 does best on low rainbow flops (nine high or lower), at 80.18%, and worst on rainbow flops topped by a ten or better, at 47.07%. 44 is the favorite overall but falls behind on rainbow flops topped by a ten or better.

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

Against one random hand instead, AQo holds 64.43% and 44 holds 57.02%. Facing each other changes that by -18.11 points for AQo and -3.34 points for 44.

Does a shared suit matter?

Split by suits, the deals give 44 53.60% when the hands overlap in a suit and 54.08% when they do not. 44 does better with no shared suit, by 0.48 points.

How often this matchup comes up

AQo against 44 is made up of 72 specific-card matchups in one seat order, 0.0044% of the 1,624,350 ordered deals, and 144 counting both seat orders, 0.0089%.

A worked example

With $100 from each side, the $200 pot is split on average as $107.36 for 44 and $92.64 for AQo; the first side gains $7.36 per all-in and the second gives up $7.36.

Per 1,000 deals: 44 wins about 534, AQo wins about 461, and about 5 end in a split pot.

The same matchup from the other side

44 against AQo adds nothing new: it is 53.68% for 44 and 46.32% for AQo, the same figures reversed.

Keep exploring

Try AsQh against 4d4c 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.

• Open AsQh against 4d4c in the equity calculator
• AQo combos
• 44 combos
• AQo vs J9s
• AQo vs JTo
• AJo vs 44
• All hand matchups