ATo vs T9o: preflop equity

ATo against T9o: the numbers

This is a contest between two offsuit hands, ATo and T9o. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

ATo is the clear favorite, though T9o gets there on roughly one board in 4. Ties are part of the picture: 2.20% of boards end in a split pot, and each side counts that as half a win.

For context, ATo sits at number 19 of 169 starting hands and T9o at number 78 when each is run against a random hand.

108 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.

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

The flop changes the picture. ATo does best on paired flops, at 76.45%, and worst on low rainbow flops (nine high or lower), at 57.47%. ATo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

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 ATo 62.72% and T9o 51.53%. Against each other the change is +9.36 points for ATo and -23.61 for T9o.

Does a shared suit matter?

The suit split reads 72.24% for ATo with a shared suit and 71.51% without one. ATo does better with a shared suit, by 0.73 points.

How often this matchup comes up

The class pair covers 108 combinations of specific cards in a fixed seat order, 0.0066% of 1,624,350, and 216 (0.0133%) in either order.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, ATo's average share is $144.16 (a gain of $44.16) and T9o's is $55.84 (a loss of $44.16).

Think in thousands: about 710 of 1,000 go to ATo, about 268 go to T9o, and about 22 are chopped.

The same matchup from the other side

Read it from the other side: T9o against ATo is the same matchup with the numbers swapped, so T9o holds 27.92% and ATo holds 72.08%. That address sends you back to this page.

Keep exploring

Try AsTh against Td9c 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 AsTh against Td9c in the equity calculator
• ATo combos
• T9o combos
• ATo vs 98s
• ATo vs 22
• KJs vs T9o
• All hand matchups