TT vs 53s: preflop equity

In equity, TT against 53s stands at 79.50% to 20.50%, a gap of 59.00 points.

TT

79.50%

Wins 79.23%, ties 0.54%

53s

20.50%

Wins 20.23%, ties 0.54%

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

TT against 53s: the numbers

Exact preflop results for TT against 53s, in percent
HandWinsTiesLosesEquity
TT79.2320.54120.22779.502
53s20.2270.54179.23220.498

The first hand is a pocket pair; the second is a suited hand. A pair against two lower cards is a lopsided matchup: the pair is ahead and the other hand has no overcard to catch.

A lead of 59.00 points is large but not decisive: 53s still takes about 202 of every 1,000 deals. Ties are 0.54% of the outcomes here; each tied board gives both hands half the pot.

TT ranks number 5 of 169 starting hands, and 53s ranks number 146, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT32,561,000222,0008,312,000
53s8,312,000222,00032,561,000

The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

TT against 53s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT3.8791.2624.9440.258
53s0.2584.9441.2623.879

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

The flop changes the picture. TT does best on rainbow flops topped by a ten or better, at 84.46%, and worst on low rainbow flops (nine high or lower), at 68.54%. 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 53s by flop texture, in percent
FlopShare of flopsTT winsTies53s 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
Monotone5.21272.9112.52324.56674.172
Paired17.33482.6140.67416.71282.951

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

The table below sets each hand against its own random-hand baseline: a change of +4.49 points for TT, from 75.01%, and -19.19 for 53s, from 39.69%.

TT and 53s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops79.50275.012+4.4901.05986
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, monotone74.17275.012-0.8400.98880
TT, paired82.95175.012+7.9391.10584
53s, all flops20.49839.693-19.1950.51641
53s, rainbow, ten or higher15.54439.693-24.1490.39161
53s, rainbow, nine or lower31.46539.693-8.2280.79271
53s, two-tone22.31539.693-17.3780.56219
53s, monotone25.82839.693-13.8650.65069
53s, paired17.04939.693-22.6440.42952

Does a shared suit matter?

The suit split reads 80.09% for TT with a shared suit and 78.92% without one. TT does better with a shared suit, by 1.17 points.

TT against 53s by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTies53s winsTT equity
Share a suit1250.0079.7960.58419.62080.088
No shared suit1250.0078.6680.49720.83578.917

How often this matchup comes up

This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average TT takes back $159.00 of it, which is $59.00 more than it put in, and 53s takes back $41.00, $59.00 less than it put in.

In 1,000 deals of exactly this matchup, expect about 792 won outright by TT, about 202 won outright by 53s and about 6 split.

The same matchup from the other side

The reversed view, 53s against TT, shows 20.50% for 53s and 79.50% for TT. It is the same count, so it redirects here.

Try TsTh against 5d3d 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of TT against 53s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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