99 vs T8s: preflop equity

If 99 and T8s get all the chips in before the flop, 99 owns 66.91% of the pot in the long run and T8s owns 33.09%.

99

66.91%

Wins 66.65%, ties 0.52%

T8s

33.09%

Wins 32.83%, ties 0.52%

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

99 against T8s: the numbers

Exact preflop results for 99 against T8s, in percent
HandWinsTiesLosesEquity
9966.6450.52432.83166.907
T8s32.8310.52466.64533.093

99 is a pocket pair and T8s is a suited hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.

A lead of 33.82 points is large but not decisive: T8s still takes about 328 of every 1,000 deals. A split pot comes up on 0.52% of boards, so the wins and the equity differ by half of that.

Place 6 of 169 belongs to 99 and place 73 belongs to T8s in the ranking against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9927,388,000215,00013,492,000
T8s13,492,000215,00027,388,000

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.

99 against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
992.0221.5003.0460.495
T8s0.4953.0461.5002.022

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

Break the boards down by their first three cards and 99 is strongest on low rainbow flops (nine high or lower) (79.26%) and weakest on monotone flops (62.38%). 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 T8s by flop texture, in percent
FlopShare of flops99 winsTiesT8s wins99 equity
Rainbow, ten or higher25.22065.6120.28834.10065.756
Rainbow, nine or lower5.68978.9710.58120.44879.262
Two-tone46.54564.9120.32134.76765.072
Monotone5.21261.1702.42036.41062.380
Paired17.33470.4040.82428.77270.816

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

A random hand would give 99 72.06% and T8s 52.33%. Against each other the change is -5.15 points for 99 and -19.24 for T8s.

99 and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops66.90772.057-5.1500.92853
99, rainbow, ten or higher65.75672.057-6.3010.91256
99, rainbow, nine or lower79.26272.057+7.2051.09999
99, two-tone65.07272.057-6.9850.90306
99, monotone62.38072.057-9.6770.86570
99, paired70.81672.057-1.2410.98278
T8s, all flops33.09352.334-19.2410.63234
T8s, rainbow, ten or higher34.24452.334-18.0900.65434
T8s, rainbow, nine or lower20.73852.334-31.5960.39626
T8s, two-tone34.92852.334-17.4060.66741
T8s, monotone37.62052.334-14.7140.71884
T8s, paired29.18452.334-23.1500.55765

Does a shared suit matter?

Two kinds of deal exist here. In 12 of them the hands share a suit and 99 holds 67.12%. In 12 they do not, and it holds 66.69%. 99 does better with a shared suit, by 0.43 points.

99 against T8s by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTiesT8s wins99 equity
Share a suit1250.0066.8390.56532.59667.122
No shared suit1250.0066.4510.48433.06566.693

How often this matchup comes up

Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.

A worked example

Take a $200 pot built from $100 each. 99's equity of 66.91% is worth $133.82, a $33.82 edge, and T8s' 33.09% is worth $66.18, which is $33.82 under its stake.

Think in thousands: about 667 of 1,000 go to 99, about 328 go to T8s, and about 5 are chopped.

The same matchup from the other side

T8s versus 99 is this same page seen from the other hand: 33.09% for T8s, 66.91% for 99.

The calculator link fills in 9s9h against Td8d, 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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