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AKo vs T9s

AKo
VS
T9s
59.4%
equity for AKo — T9s takes 40.6%

Two unpaired hands with no shared rank — the higher cards usually run 60–65%.

AKo Win
59.2%
Tie
0.5%
AKo Lose
40.3%
Card combinations
48
AKo vs random
65.4% · #12
T9s vs random
54.0% · #65
Breakdown

Win, tie and loss for AKo

Win 59.2%Lose 40.3%

When AKo and T9s get all in before the flop, AKo wins 59.4% of the time and T9s takes 40.6%. Broken down, AKo wins outright 59.2%, chops 0.5% and loses 40.3% — a margin of 18.9 points. Two unpaired hands with no shared rank — the higher cards usually run 60–65%.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 58.8% (for example As Kh against Td 9d); with one shared suit it is 60.0% (As Kh against Ts 9s). That is a spread of 1.23 points across the 48 distinct card combinations, and it comes almost entirely from whether the two hands are fighting over the same flush.

Add a third player holding a random hand and the split becomes AKo 45.1%, T9s 34.0%, random 21.0%. AKo gives up 14.4 points and T9s gives up 6.6, so the favourite loses more than the underdog does. Extra players always eat into the leader's share faster than into anyone else's.

Taken on their own, AKo is worth 65.4% against a random hand (rank 12 of 169) and T9s is worth 54.0% (rank 65). The gap between them in the ranking is only 11.4 points, yet head to head the gap is 18.9 points — a reminder that a ranking table and a direct matchup are two different questions.

Framed as a run of one hundred identical all-ins, AKo scoops roughly 59 pots, splits about one, and loses the remaining 40. Against eight random opponents rather than this one specific hand, AKo would be down to 19.1% and T9s to 16.3%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From T9s's side, 40.6% is the break-even point for calling an all-in at 1.46:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 40.6% of the pot you are playing for. AKo holds the other 59.4% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 48 card combinations with five board cards still to come — there is no fold equity in it, so the value of shoving in practice is usually higher than the raw percentage suggests. Second, it assumes T9s really does hold exactly T9s; against the wider range a player would actually get all in with, AKo's 59.4% moves. Use the individual pages for AKo and T9s to see how each of them fares against all 168 other holdings before treating this single pairing as the whole picture.

By shared suits

Overlapping suits move the number

200,000 simulated showdowns per condition. The example column shows one concrete four-card layout.

ConditionExampleCombosAKo EquityWinTieLose
No shared suitAs Kh vs Td 9d2458.8%58.6%0.4%41.0%
One shared suitAs Kh vs Ts 9s2460.0%59.8%0.5%39.7%
Flop and turn

Who leads on each street, and how often it flips

Exact counts from the 48 unseen cards: all 17,296 flops × 990 turn-and-river pairs, and all 194,580 four-card turns × 44 rivers, for every suit combination — no simulation.

When the three flop cards are out, AKo is ahead 72.5% of the time and T9s 27.5%, and the two hands are never level on the flop. "Ahead" means the better best-five-card hand from the cards showing plus the two hole cards; draws are not counted.

When AKo leads on the flop, T9s comes back on the turn and river 26.3% of the time. When T9s leads on the flop, AKo turns it around 22.4% of the time. The hand in front holds on to win 74.3% of the time from the flop and 84.7% from the turn (level spots left out).

With the turn out, AKo leads 65.7% and T9s 34.3%. Counted exhaustively, AKo finishes with 59.48% equity (the 59.4% at the top of the page is a 200,000-hand simulation).

On the flop — lead holds 74.3%, flips 25.2%
After the flopHow oftenAKo winsTieT9s wins
AKo ahead72.5%73.2%0.479%26.3%
Level (same hand)0%Never happens
T9s ahead27.5%22.4%0.374%77.2%
On the turn — lead holds 84.7%, flips 14.9%
After the turnHow oftenAKo winsTieT9s wins
AKo ahead65.7%83.5%0.518%15.9%
Level (same hand)0%Never happens
T9s ahead34.3%12.8%0.320%86.9%

"Ahead" compares the best five-card hands available at that point (draws are not counted). "Flips" is the share of leads that end in a loss, with level spots left out.

Three-way

Adding a random third hand

200,000 simulated showdowns, with the third hand dealt at random each time.

AKo
45.1%
vs heads-up -14.4pt
T9s
34.0%
vs heads-up -6.6pt
Random third hand
21.0%
Player count

At a bigger table

Random opponentsAKoT9s
165.4%54.0%
247.9%38.9%
432.4%25.7%
819.1%16.3%

Related

FAQ

AKo or T9s — which is ahead preflop?

AKo is the favourite. AKo takes 59.4% and T9s 40.6%, a margin of 18.9 points, with 0.5% of hands ending in a chop.

Do the suits change AKo vs T9s?

Yes. With no shared suit it is 58.8%, and with one shared suit it is 60.0% — a swing of up to 1.23 points.

What happens three-way?

With one extra random hand in the pot the split is AKo 45.1%, T9s 34.0%, random 21.0%. AKo drops 14.4 points compared with heads-up.

How often does the flop leader lose in AKo vs T9s?

The hand ahead on the flop goes on to lose 25.2% of the time (level spots left out). When AKo leads, T9s comes back 26.3%. When T9s leads, AKo comes back 22.4%. Exact counts over every flop, turn and river.

431 words / 30 distinct figures — Method