99 vs JTo: preflop equity

Dealt all in against each other, 99 takes 53.82% of the pot on average and JTo takes the other 46.18%.

99

53.82%

Wins 53.63%, ties 0.40%

JTo

46.18%

Wins 45.97%, ties 0.40%

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

99 against JTo: the numbers

Exact preflop results for 99 against JTo, in percent
HandWinsTiesLosesEquity
9953.6250.39745.97853.823
JTo45.9780.39753.62546.177

We compare a pocket pair with an offsuit hand. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.

99 leads by less than 8 points of equity, so the result of any one deal is close to a toss-up. 0.40% of boards are ties, so the equity of each hand is its win rate plus half of that.

Ranked by equity against a random hand, 99 is number 6 of the 169 starting hands and JTo is number 57.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9966,112,000489,00056,684,000
JTo56,684,000489,00066,112,000

The board total is exact, 72 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

99 against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
991.1661.8652.1750.858
JTo0.8582.1751.8651.166

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

99 prefers low rainbow flops (nine high or lower), where it holds 77.14%, and likes rainbow flops topped by a ten or better least, where it holds 46.30%. The overall edge for 99 hides rainbow flops topped by a ten or better, where JTo comes out in front.

99 against JTo by flop texture, in percent
FlopShare of flops99 winsTiesJTo wins99 equity
Rainbow, ten or higher24.71746.2030.19253.60546.299
Rainbow, nine or lower6.31476.7070.86222.43177.138
Two-tone46.48552.1280.31547.55752.286
Monotone5.15149.2581.70149.04150.108
Paired17.33361.1110.35538.53461.289

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of -18.24 points for 99, from 72.06%, and -9.07 for JTo, from 55.25%.

99 and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops53.82372.057-18.2340.74695
99, rainbow, ten or higher46.29972.057-25.7580.64253
99, rainbow, nine or lower77.13872.057+5.0811.07051
99, two-tone52.28672.057-19.7710.72562
99, monotone50.10872.057-21.9490.69539
99, paired61.28972.057-10.7680.85056
JTo, all flops46.17755.248-9.0710.83581
JTo, rainbow, ten or higher53.70155.248-1.5470.97200
JTo, rainbow, nine or lower22.86255.248-32.3860.41381
JTo, two-tone47.71455.248-7.5340.86363
JTo, monotone49.89255.248-5.3560.90306
JTo, paired38.71155.248-16.5370.70068

Does a shared suit matter?

Split by suits, the deals give 99 53.73% when the hands overlap in a suit and 54.28% when they do not. 99 does better with no shared suit, by 0.55 points.

99 against JTo by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTiesJTo wins99 equity
Share a suit6083.3353.5250.41346.06253.732
No shared suit1216.6754.1220.31945.55954.281

How often this matchup comes up

How often does it happen? 72 of the 1,624,350 ordered deals (0.0044%) are 99 against JTo, and 144 (0.0089%) if either hand may sit in either seat.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average 99 takes back $107.64 of it, which is $7.64 more than it put in, and JTo takes back $92.36, $7.64 less than it put in.

Over a long run, 1,000 deals split into about 536 for 99, 460 for JTo and 4 tied.

The same matchup from the other side

JTo against 99 adds nothing new: it is 46.18% for JTo and 53.82% for 99, the same figures reversed.

Try 9s9h against JdTc 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

We counted every case. Each suit pattern of the 72 specific 99 against JTo deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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