TT vs 55: preflop equity

Over all 1,712,304 boards that can follow this deal, TT finishes with 80.96% of the pot and 55 with 19.04%.

TT

80.96%

Wins 80.70%, ties 0.51%

55

19.04%

Wins 18.79%, ties 0.51%

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

TT against 55: the numbers

Exact preflop results for TT against 55, in percent
HandWinsTiesLosesEquity
TT80.7010.50918.79080.956
5518.7900.50980.70119.044

Two pocket pairs meet here: TT against 55. Both hands are pairs, so the bigger pair is ahead on every board that does not pair a card below it.

That is a heavy lead: 55 needs the board to help it on most runouts and still falls behind far more often than not. Ties are 0.51% of the outcomes here; each tied board gives both hands half the pot.

In the ranking of all 169 starting hands, TT is number 5 and 55 is number 27.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT49,746,000314,00011,583,000
5511,583,000314,00049,746,000

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.

TT against 55 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT4.2511.2395.3220.235
550.2355.3221.2394.251

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

By flop texture, TT's equity runs from 67.25% on low rainbow flops (nine high or lower) up to 86.36% on paired flops. 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 55 by flop texture, in percent
FlopShare of flopsTT winsTies55 winsTT equity
Rainbow, ten or higher24.59583.6800.29416.02683.827
Rainbow, nine or lower6.31466.9010.69332.40667.247
Two-tone46.36379.6870.36419.94979.869
Monotone5.15274.4601.88723.65375.404
Paired17.57685.9970.72413.27986.359

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

A random hand would give TT 75.01% and 55 60.33%. Against each other the change is +5.95 points for TT and -41.29 for 55.

TT and 55 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops80.95675.012+5.9441.07924
TT, rainbow, ten or higher83.82775.012+8.8151.11751
TT, rainbow, nine or lower67.24775.012-7.7650.89648
TT, two-tone79.86975.012+4.8571.06475
TT, monotone75.40475.012+0.3921.00523
TT, paired86.35975.012+11.3471.15127
55, all flops19.04460.325-41.2810.31569
55, rainbow, ten or higher16.17360.325-44.1520.26810
55, rainbow, nine or lower32.75360.325-27.5720.54294
55, two-tone20.13160.325-40.1940.33371
55, monotone24.59660.325-35.7290.40772
55, paired13.64160.325-46.6840.22613

Does a shared suit matter?

Of the deals of this matchup, 30 share a suit (TT at 81.09%) and 6 do not (80.29%). TT does better with a shared suit, by 0.80 points.

TT against 55 by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTies55 winsTT equity
Share a suit3083.3380.8270.52418.64981.089
No shared suit616.6780.0730.43519.49280.290

How often this matchup comes up

How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are TT against 55, and 72 (0.0044%) if either hand may sit in either seat.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, TT's average share is $161.92 (a gain of $61.92) and 55's is $38.08 (a loss of $61.92).

Think in thousands: about 807 of 1,000 go to TT, about 188 go to 55, and about 5 are chopped.

The same matchup from the other side

The reversed view, 55 against TT, shows 19.04% for 55 and 80.96% for TT. It is the same count, so it redirects here.

The calculator link fills in TsTh against 5d5c, 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

Method: exact enumeration. The 36 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

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

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