TT vs AJs: preflop equity

Averaged over every possible board, TT is ahead of AJs by 8.44 points of equity, 54.22% to 45.78%.

TT

54.22%

Wins 54.02%, ties 0.40%

AJs

45.78%

Wins 45.58%, ties 0.40%

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

TT against AJs: the numbers

Exact preflop results for TT against AJs, in percent
HandWinsTiesLosesEquity
TT54.0180.39745.58554.216
AJs45.5850.39754.01845.784

The matchup pits a pocket pair against a suited hand. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.

That is a slim edge: neither hand is far ahead. Of every 100 boards, about 0.40 are split pots, and the equity figures already include them.

By strength against a random hand, TT holds place 5 of 169 and AJs holds place 11.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT22,199,000163,00018,733,000
AJs18,733,000163,00022,199,000

The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

TT against AJs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT1.1841.8512.1940.844
AJs0.8442.1941.8511.184

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

The flop changes the picture. TT does best on low rainbow flops (nine high or lower), at 71.66%, and worst on rainbow flops topped by a ten or better, at 48.73%. AJs is ahead on rainbow flops topped by a ten or better, even though it trails TT when every flop is counted.

TT against AJs by flop texture, in percent
FlopShare of flopsTT winsTiesAJs winsTT equity
Rainbow, ten or higher23.13848.6570.13551.20848.725
Rainbow, nine or lower7.77171.1990.92327.87871.660
Two-tone46.54551.9260.30447.77052.078
Monotone5.21251.3392.39146.27052.534
Paired17.33459.8940.16439.94259.976

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Start from the random-hand figures, 75.01% for TT and 65.39% for AJs. This opponent changes them by -20.79 and -19.61 points.

TT and AJs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops54.21675.012-20.7960.72276
TT, rainbow, ten or higher48.72575.012-26.2870.64956
TT, rainbow, nine or lower71.66075.012-3.3520.95531
TT, two-tone52.07875.012-22.9340.69426
TT, monotone52.53475.012-22.4780.70034
TT, paired59.97675.012-15.0360.79955
AJs, all flops45.78465.393-19.6090.70014
AJs, rainbow, ten or higher51.27565.393-14.1180.78411
AJs, rainbow, nine or lower28.34065.393-37.0530.43338
AJs, two-tone47.92265.393-17.4710.73283
AJs, monotone47.46665.393-17.9270.72586
AJs, paired40.02465.393-25.3690.61205

Does a shared suit matter?

Looking only at deals where the hands share a suit, TT has 54.37%; looking only at deals where they do not, 54.07%. TT does better with a shared suit, by 0.30 points.

TT against AJs by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTiesAJs winsTT equity
Share a suit1250.0054.1480.43945.41354.368
No shared suit1250.0053.8870.35645.75754.065

How often this matchup comes up

Counting specific cards, TT against AJs appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).

A worked example

Take a $200 pot built from $100 each. TT's equity of 54.22% is worth $108.44, a $8.44 edge, and AJs' 45.78% is worth $91.56, which is $8.44 under its stake.

Think in thousands: about 540 of 1,000 go to TT, about 456 go to AJs, and about 4 are chopped.

The same matchup from the other side

The reversed view, AJs against TT, shows 45.78% for AJs and 54.22% for TT. It is the same count, so it redirects here.

Try TsTh against AdJd 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

Each figure is a complete count over boards. Take the 24 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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