66 vs A6s: preflop equity

Dealt all in against each other, 66 takes 65.50% of the pot on average and A6s takes the other 34.50%.

66

65.50%

Wins 64.19%, ties 2.62%

A6s

34.50%

Wins 33.19%, ties 2.62%

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

66 against A6s: the numbers

Exact preflop results for 66 against A6s, in percent
HandWinsTiesLosesEquity
6664.1882.61933.19365.498
A6s33.1932.61964.18834.502

66 and A6s are a pocket pair and a suited hand, in that order. The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.

That is a clear edge, 65.50% to 34.50%, but A6s still wins often enough that one hand proves nothing. A split pot comes up on 2.62% of boards, so the wins and the equity differ by half of that.

Among the 169 starting hands, 66 is number 17 and A6s is number 31 by strength against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6613,189,000538,0006,820,000
A6s6,820,000538,00013,189,000

The board total is exact, 12 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 A6s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
661.8981.5583.0130.527
A6s0.5273.0131.5581.898

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 19.72 points, from 61.49% on monotone flops to 81.21% on low rainbow flops (nine high or lower). 66 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

66 against A6s by flop texture, in percent
FlopShare of flops66 winsTiesA6s wins66 equity
Rainbow, ten or higher25.19763.5171.66034.82364.347
Rainbow, nine or lower5.58576.6239.17214.20581.209
Two-tone46.23662.5452.70634.74963.898
Monotone5.15159.8403.30236.85861.491
Paired17.83166.7581.49631.74667.506

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

Relative to a random opponent, 66 changes by +2.21 points (baseline 63.29%) and A6s by -25.41 points (baseline 59.91%).

66 and A6s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops65.49863.285+2.2131.03497
66, rainbow, ten or higher64.34763.285+1.0621.01678
66, rainbow, nine or lower81.20963.285+17.9241.28323
66, two-tone63.89863.285+0.6131.00969
66, monotone61.49163.285-1.7940.97165
66, paired67.50663.285+4.2211.06670
A6s, all flops34.50259.906-25.4040.57594
A6s, rainbow, ten or higher35.65359.906-24.2530.59515
A6s, rainbow, nine or lower18.79159.906-41.1150.31367
A6s, two-tone36.10259.906-23.8040.60264
A6s, monotone38.50959.906-21.3970.64282
A6s, paired32.49459.906-27.4120.54242

Does a shared suit matter?

Every legal deal of 66 against A6s leaves the hands with no suit in common, so the suit split does not apply here.

66 against A6s by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTiesA6s wins66 equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0064.1882.61933.19365.498

How often this matchup comes up

Counting specific cards, 66 against A6s appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. 66 is worth $131.00 on average (+$31.00); A6s is worth $69.00 (-$31.00).

A thousand deals look like this: 66 takes 642, A6s takes 332, 26 are ties.

The same matchup from the other side

Swap the hands and you get A6s with 34.50% against 66 with 65.50%. We keep one page per matchup, with the better-ranked hand first.

Try 6s6h against Ad6d 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 12 specific 66 against A6s 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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