66 vs A8s: preflop equity

Counting every board, the equity split is 53.32% for 66 and 46.68% for A8s, so 66 leads by 6.64 points.

66

53.32%

Wins 53.11%, ties 0.41%

A8s

46.68%

Wins 46.48%, ties 0.41%

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

66 against A8s: the numbers

Exact preflop results for 66 against A8s, in percent
HandWinsTiesLosesEquity
6653.1090.41246.47953.315
A8s46.4790.41253.10946.685

The matchup pits a pocket pair against a suited 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.

This is close to even money, with 66 a little ahead. 0.41% of boards are ties, so the equity of each hand is its win rate plus half of that.

For context, 66 sits at number 17 of 169 starting hands and A8s at number 21 when each is run against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6621,825,000169,00019,101,000
A8s19,101,000169,00021,825,000

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.

66 against A8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
661.1421.8832.1520.876
A8s0.8762.1521.8831.142

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

Across the five flop textures 66's equity moves by 11.08 points, from 51.73% on two-tone flops to 62.81% on low rainbow flops (nine high or lower). 66 stays ahead on all five textures.

66 against A8s by flop texture, in percent
FlopShare of flops66 winsTiesA8s wins66 equity
Rainbow, ten or higher25.22052.0570.20847.73552.161
Rainbow, nine or lower5.68962.5330.56236.90562.814
Two-tone46.54551.6030.25548.14251.731
Monotone5.21251.0982.44746.45552.322
Paired17.33456.1960.46743.33756.430

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

Each hand has a baseline against a random hand: 63.29% for 66, 61.94% for A8s. Here the change is -9.97 and -15.26 points.

66 and A8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops53.31563.285-9.9700.84246
66, rainbow, ten or higher52.16163.285-11.1240.82422
66, rainbow, nine or lower62.81463.285-0.4710.99256
66, two-tone51.73163.285-11.5540.81743
66, monotone52.32263.285-10.9630.82677
66, paired56.43063.285-6.8550.89168
A8s, all flops46.68561.944-15.2590.75366
A8s, rainbow, ten or higher47.83961.944-14.1050.77229
A8s, rainbow, nine or lower37.18661.944-24.7580.60032
A8s, two-tone48.26961.944-13.6750.77924
A8s, monotone47.67861.944-14.2660.76970
A8s, paired43.57061.944-18.3740.70338

Does a shared suit matter?

When the hands share a suit, 66 holds 53.50%; when they do not, it holds 53.14%. 66 does better with a shared suit, by 0.36 points.

66 against A8s by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTiesA8s wins66 equity
Share a suit1250.0053.2690.45346.27853.495
No shared suit1250.0052.9500.37046.68053.135

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

Worked example: both players commit $100, so $200 sits in the middle. Over every board, 66's average share is $106.64 (a gain of $6.64) and A8s' is $93.36 (a loss of $6.64).

Out of 1,000 deals you should see around 531 outright wins for 66, 465 for A8s, and 4 split pots.

The same matchup from the other side

If you came looking for A8s against 66, the numbers are the same with the hands swapped: 46.68% and 53.32%.

The calculator link fills in 6s6h against Ad8d, 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 24 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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