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TT vs AJs

TT
VS
AJs
54.2%
equity for TT — AJs takes 45.8%

Pair against two overcards — the classic coinflip, with the pair a shade ahead.

TT Win
54.0%
Tie
0.4%
TT Lose
45.6%
Card combinations
24
TT vs random
75.1% · #5
AJs vs random
65.4% · #11
Breakdown

Win, tie and loss for TT

Win 54.0%Lose 45.6%

When TT and AJs get all in before the flop, TT wins 54.2% of the time and AJs takes 45.8%. Broken down, TT wins outright 54.0%, chops 0.4% and loses 45.6% — a margin of 8.4 points. Pair against two overcards — the classic coinflip, with the pair a shade ahead.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 54.0% (for example Ts Th against Ad Jd); with one shared suit it is 54.4% (Ts Th against As Js). That is a spread of 0.35 points across the 24 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 TT 43.9%, AJs 39.0%, random 17.2%. TT gives up 10.3 points and AJs gives up 6.8, 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, TT is worth 75.1% against a random hand (rank 5 of 169) and AJs is worth 65.4% (rank 11). The gap between them in the ranking is only 9.7 points, yet head to head the gap is 8.4 points, which is roughly what the ranking table predicts.

Framed as a run of one hundred identical all-ins, TT scoops roughly 54 pots, splits about one, and loses the remaining 46. Against eight random opponents rather than this one specific hand, TT would be down to 19.3% and AJs to 20.1%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From AJs's side, 45.8% is the break-even point for calling an all-in at 1.18:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 45.8% of the pot you are playing for. TT holds the other 54.2% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 24 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 AJs really does hold exactly AJs; against the wider range a player would actually get all in with, TT's 54.2% moves. Use the individual pages for TT and AJs 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.

ConditionExampleCombosTT EquityWinTieLose
No shared suitTs Th vs Ad Jd1254.0%53.9%0.3%45.8%
One shared suitTs Th vs As Js1254.4%54.2%0.4%45.4%
Three-way

Adding a random third hand

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

TT
43.9%
vs heads-up -10.3pt
AJs
39.0%
vs heads-up -6.8pt
Random third hand
17.2%
Player count

At a bigger table

Random opponentsTTAJs
175.1%65.4%
257.8%48.0%
436.1%32.2%
819.3%20.1%

Related

FAQ

TT or AJs — which is ahead preflop?

TT is the favourite. TT takes 54.2% and AJs 45.8%, a margin of 8.4 points, with 0.4% of hands ending in a chop.

Do the suits change TT vs AJs?

Yes. With no shared suit it is 54.0%, and with one shared suit it is 54.4% — a swing of up to 0.35 points.

What happens three-way?

With one extra random hand in the pot the split is TT 43.9%, AJs 39.0%, random 17.2%. TT drops 10.3 points compared with heads-up.

424 words / 27 distinct figures — Method