99 vs T9o: preflop equity

In equity, 99 against T9o stands at 64.72% to 35.28%, a gap of 29.44 points.

99

64.72%

Wins 63.74%, ties 1.96%

T9o

35.28%

Wins 34.30%, ties 1.96%

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

99 against T9o: the numbers

Exact preflop results for 99 against T9o, in percent
HandWinsTiesLosesEquity
9963.7351.96234.30364.716
T9o34.3031.96263.73535.284

99 and T9o are a pocket pair and an offsuit hand, in that order. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.

99 is ahead, but T9o is far from dead: it takes 343 of every 1,000 deals outright. Ties are 1.96% of the outcomes here; each tied board gives both hands half the pot.

By strength against a random hand, 99 holds place 6 of 169 and T9o holds place 78.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9939,288,0001,209,00021,145,000
T9o21,145,0001,209,00039,288,000

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.

99 against T9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
991.8341.5692.9150.545
T9o0.5452.9151.5691.834

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

By flop texture, 99's equity runs from 58.75% on monotone flops up to 78.32% on low rainbow flops (nine high or lower). 99 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

99 against T9o by flop texture, in percent
FlopShare of flops99 winsTiesT9o wins99 equity
Rainbow, ten or higher25.23959.5102.20938.28160.615
Rainbow, nine or lower5.58577.4251.79920.77678.324
Two-tone46.21562.2032.04035.75763.223
Monotone5.13057.5402.41940.04158.750
Paired17.83171.1811.32727.49271.845

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

The table below sets each hand against its own random-hand baseline: a change of -7.34 points for 99, from 72.06%, and -16.25 for T9o, from 51.53%.

99 and T9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops64.71672.057-7.3410.89812
99, rainbow, ten or higher60.61572.057-11.4420.84121
99, rainbow, nine or lower78.32472.057+6.2671.08697
99, two-tone63.22372.057-8.8340.87740
99, monotone58.75072.057-13.3070.81533
99, paired71.84572.057-0.2120.99706
T9o, all flops35.28451.532-16.2480.68470
T9o, rainbow, ten or higher39.38551.532-12.1470.76428
T9o, rainbow, nine or lower21.67651.532-29.8560.42063
T9o, two-tone36.77751.532-14.7550.71367
T9o, monotone41.25051.532-10.2820.80047
T9o, paired28.15551.532-23.3770.54636

Does a shared suit matter?

When the hands share a suit, 99 holds 64.63%; when they do not, it holds 64.89%. 99 does better with no shared suit, by 0.26 points.

99 against T9o by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTiesT9o wins99 equity
Share a suit2466.6763.6321.99634.37264.630
No shared suit1233.3363.9411.89234.16764.887

How often this matchup comes up

Counting specific cards, 99 against T9o 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: 99 averages $129.44 back, ahead of its $100 by $29.44, while T9o averages $70.56, short of its $100 by $29.44.

Over a long run, 1,000 deals split into about 637 for 99, 343 for T9o and 20 tied.

The same matchup from the other side

T9o versus 99 is this same page seen from the other hand: 35.28% for T9o, 64.72% for 99.

Open the calculator with 9s9h against Td9c already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one 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 99 against T9o, 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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