TT vs 33: preflop equity

In equity, TT against 33 stands at 81.42% to 18.58%, a gap of 62.84 points.

TT

81.42%

Wins 81.14%, ties 0.56%

33

18.58%

Wins 18.30%, ties 0.56%

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

TT against 33: the numbers

Exact preflop results for TT against 33, in percent
HandWinsTiesLosesEquity
TT81.1420.55718.30181.421
3318.3010.55781.14218.579

TT meets 33, and both are pocket pairs. Both hands are pairs, so the bigger pair is ahead on every board that does not pair a card below it.

This is one of the lopsided matchups: 33 wins only 18.30% of the boards outright. The tie share is 0.56%: on those boards the pot is chopped and neither hand wins outright.

In the ranking of all 169 starting hands, TT is number 5 and 33 is number 66.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT50,018,000343,00011,281,000
3311,281,000343,00050,018,000

Exact total: 36 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

TT against 33 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT4.3821.2325.4640.228
330.2285.4641.2324.382

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

If you know the kind of flop that came, the numbers shift: TT holds 86.66% on paired flops and 68.74% 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 33 by flop texture, in percent
FlopShare of flopsTT winsTies33 winsTT equity
Rainbow, ten or higher24.59583.9330.29415.77384.080
Rainbow, nine or lower6.31468.3080.87030.82268.743
Two-tone46.36380.1580.39819.44480.357
Monotone5.15274.8202.28922.89175.964
Paired17.57686.2960.72412.98086.658

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

Compared with a random opponent, this matchup shifts TT from 75.01% by +6.41 points and 33 from 53.69% by -35.11 points.

TT and 33 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops81.42175.012+6.4091.08544
TT, rainbow, ten or higher84.08075.012+9.0681.12089
TT, rainbow, nine or lower68.74375.012-6.2690.91643
TT, two-tone80.35775.012+5.3451.07126
TT, monotone75.96475.012+0.9521.01269
TT, paired86.65875.012+11.6461.15526
33, all flops18.57953.693-35.1140.34602
33, rainbow, ten or higher15.92053.693-37.7730.29650
33, rainbow, nine or lower31.25753.693-22.4360.58214
33, two-tone19.64353.693-34.0500.36584
33, monotone24.03653.693-29.6570.44766
33, paired13.34253.693-40.3510.24849

Does a shared suit matter?

When the hands share a suit, TT holds 81.55%; when they do not, it holds 80.76%. TT does better with a shared suit, by 0.79 points.

TT against 33 by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTies33 winsTT equity
Share a suit3083.3381.2700.56818.16281.554
No shared suit616.6780.5060.50218.99280.757

How often this matchup comes up

Counting specific cards, TT against 33 appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).

A worked example

Put $100 each into a $200 pot and deal every board once: TT averages $162.84 back, ahead of its $100 by $62.84, while 33 averages $37.16, short of its $100 by $62.84.

Per 1,000 deals: TT wins about 811, 33 wins about 183, and about 6 end in a split pot.

The same matchup from the other side

If you came looking for 33 against TT, the numbers are the same with the hands swapped: 18.58% and 81.42%.

Try TsTh against 3d3c 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 36 specific deals of TT against 33, 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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