AA vs TT: preflop equity

If AA and TT get all the chips in before the flop, AA owns 80.75% of the pot in the long run and TT owns 19.25%.

AA

80.75%

Wins 80.56%, ties 0.38%

TT

19.25%

Wins 19.06%, ties 0.38%

Equity counts a tie as half a win. Exact over every board.

AA against TT: the numbers

Exact preflop results for AA against TT, in percent
HandWinsTiesLosesEquity
AA80.5600.37819.06280.749
TT19.0620.37880.56019.251

Both hands are pocket pairs: AA and TT. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards.

A gap this wide means TT is in trouble before the flop and has few good runouts. About 0.38% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Among the 169 starting hands, AA is number 1 and TT is number 5 by strength against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AA49,660,000233,00011,750,000
TT11,750,000233,00049,660,000

The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

AA against TT read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AA4.1951.2415.2460.238
TT0.2385.2461.2414.195

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

By flop texture, AA's equity runs from 75.16% on monotone flops up to 88.63% on low rainbow flops (nine high or lower). AA stays ahead on all five textures.

AA against TT by flop texture, in percent
FlopShare of flopsAA winsTiesTT winsAA equity
Rainbow, ten or higher23.13877.2620.17422.56477.349
Rainbow, nine or lower7.77188.1350.99610.86988.633
Two-tone46.36379.4420.36520.19379.625
Monotone5.15274.2881.73823.97475.157
Paired17.57686.3410.00713.65286.345

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 AA 85.20% and TT 75.01%. Against each other the change is -4.45 points for AA and -55.76 for TT.

AA and TT here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AA, all flops80.74985.204-4.4550.94771
AA, rainbow, ten or higher77.34985.204-7.8550.90781
AA, rainbow, nine or lower88.63385.204+3.4291.04024
AA, two-tone79.62585.204-5.5790.93452
AA, monotone75.15785.204-10.0470.88208
AA, paired86.34585.204+1.1411.01339
TT, all flops19.25175.012-55.7610.25664
TT, rainbow, ten or higher22.65175.012-52.3610.30197
TT, rainbow, nine or lower11.36775.012-63.6450.15154
TT, two-tone20.37575.012-54.6370.27162
TT, monotone24.84375.012-50.1690.33119
TT, paired13.65575.012-61.3570.18204

Does a shared suit matter?

Looking only at deals where the hands share a suit, AA has 80.88%; looking only at deals where they do not, 80.08%. AA does better with a shared suit, by 0.80 points.

AA against TT by suit overlap, in percent
DealsSpecific dealsShare of dealsAA winsTiesTT winsAA equity
Share a suit3083.3380.6850.39418.92180.882
No shared suit616.6779.9350.29719.76880.084

How often this matchup comes up

How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are AA against TT, and 72 (0.0044%) if either hand may sit in either seat.

A worked example

Put $100 each into a $200 pot and deal every board once: AA averages $161.50 back, ahead of its $100 by $61.50, while TT averages $38.50, short of its $100 by $61.50.

Over a long run, 1,000 deals split into about 805 for AA, 191 for TT and 4 tied.

The same matchup from the other side

Swap the hands and you get TT with 19.25% against AA with 80.75%. We keep one page per matchup, with the better-ranked hand first.

Try AsAh against TdTc 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.

How this was computed

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

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