TT vs 43s: preflop equity

Over all 1,712,304 boards that can follow this deal, TT finishes with 79.51% of the pot and 43s with 20.49%.

TT

79.51%

Wins 79.23%, ties 0.54%

43s

20.49%

Wins 20.23%, ties 0.54%

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

TT against 43s: the numbers

Exact preflop results for TT against 43s, in percent
HandWinsTiesLosesEquity
TT79.2330.54420.22379.505
43s20.2230.54479.23320.495

The matchup pits a pocket pair against a suited hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.

TT is the clear favorite, though 43s gets there on roughly one board in 5. Ties are part of the picture: 0.54% of boards end in a split pot, and each side counts that as half a win.

Among the 169 starting hands, TT is number 5 and 43s is number 150 by strength against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT32,561,000224,0008,311,000
43s8,311,000224,00032,561,000

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 43s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT3.8791.2624.9450.258
43s0.2584.9451.2623.879

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

If you know the kind of flop that came, the numbers shift: TT holds 84.46% on rainbow flops topped by a ten or better and 68.54% on low rainbow flops (nine high or lower). TT stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

TT against 43s by flop texture, in percent
FlopShare of flopsTT winsTies43s winsTT equity
Rainbow, ten or higher24.59584.3130.28515.40284.456
Rainbow, nine or lower6.31468.1340.80231.06468.535
Two-tone46.54577.5010.36822.13177.685
Monotone5.21272.9102.58524.50574.203
Paired17.33482.6180.67416.70882.955

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

How much does the opponent matter? Compared with its random-hand 75.01%, TT changes by +4.50 points, and 43s, from 38.64%, by -18.15.

TT and 43s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops79.50575.012+4.4931.05990
TT, rainbow, ten or higher84.45675.012+9.4441.12590
TT, rainbow, nine or lower68.53575.012-6.4770.91365
TT, two-tone77.68575.012+2.6731.03563
TT, monotone74.20375.012-0.8090.98922
TT, paired82.95575.012+7.9431.10589
43s, all flops20.49538.642-18.1470.53038
43s, rainbow, ten or higher15.54438.642-23.0980.40226
43s, rainbow, nine or lower31.46538.642-7.1770.81427
43s, two-tone22.31538.642-16.3270.57748
43s, monotone25.79738.642-12.8450.66759
43s, paired17.04538.642-21.5970.44110

Does a shared suit matter?

Looking only at deals where the hands share a suit, TT has 80.09%; looking only at deals where they do not, 78.92%. TT does better with a shared suit, by 1.17 points.

TT against 43s by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTies43s winsTT equity
Share a suit1250.0079.7970.58419.61980.089
No shared suit1250.0078.6690.50320.82878.921

How often this matchup comes up

Counting specific cards, TT against 43s 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

Worked example: both players commit $100, so $200 sits in the middle. Over every board, TT's average share is $159.02 (a gain of $59.02) and 43s' is $40.98 (a loss of $59.02).

In 1,000 deals of exactly this matchup, expect about 792 won outright by TT, about 202 won outright by 43s and about 6 split.

The same matchup from the other side

If you came looking for 43s against TT, the numbers are the same with the hands swapped: 20.49% and 79.51%.

The calculator link fills in TsTh against 4d3d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

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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