66 vs A2s: preflop equity

Averaged over every possible board, 66 is ahead of A2s by 33.10 points of equity, 66.55% to 33.45%.

66

66.55%

Wins 66.31%, ties 0.48%

A2s

33.45%

Wins 33.21%, ties 0.48%

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

66 against A2s: the numbers

Exact preflop results for 66 against A2s, in percent
HandWinsTiesLosesEquity
6666.3110.48033.20966.551
A2s33.2090.48066.31133.449

66 and A2s are a pocket pair and a suited hand, in that order. One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.

66 is well ahead, and A2s needs a specific kind of board to catch up. Ties are 0.48% of the outcomes here; each tied board gives both hands half the pot.

By strength against a random hand, 66 holds place 17 of 169 and A2s holds place 46.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6627,251,000197,00013,647,000
A2s13,647,000197,00027,251,000

The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

66 against A2s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
661.9901.5083.0110.503
A2s0.5033.0111.5081.990

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

If you know the kind of flop that came, the numbers shift: 66 holds 81.51% on low rainbow flops (nine high or lower) and 62.96% on monotone flops. 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 A2s by flop texture, in percent
FlopShare of flops66 winsTiesA2s wins66 equity
Rainbow, ten or higher25.22065.9350.25133.81466.060
Rainbow, nine or lower5.68981.1000.82018.08081.510
Two-tone46.54565.4770.32334.20065.638
Monotone5.21261.7142.48935.79762.959
Paired17.33465.6280.52033.85265.888

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

Start from the random-hand figures, 63.29% for 66 and 57.38% for A2s. This opponent changes them by +3.26 and -23.93 points.

66 and A2s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops66.55163.285+3.2661.05161
66, rainbow, ten or higher66.06063.285+2.7751.04385
66, rainbow, nine or lower81.51063.285+18.2251.28798
66, two-tone65.63863.285+2.3531.03718
66, monotone62.95963.285-0.3260.99485
66, paired65.88863.285+2.6031.04113
A2s, all flops33.44957.379-23.9300.58295
A2s, rainbow, ten or higher33.94057.379-23.4390.59151
A2s, rainbow, nine or lower18.49057.379-38.8890.32224
A2s, two-tone34.36257.379-23.0170.59886
A2s, monotone37.04157.379-20.3380.64555
A2s, paired34.11257.379-23.2670.59450

Does a shared suit matter?

When the hands share a suit, 66 holds 66.86%; when they do not, it holds 66.24%. 66 does better with a shared suit, by 0.62 points.

66 against A2s by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTiesA2s wins66 equity
Share a suit1250.0066.5970.52532.87866.860
No shared suit1250.0066.0250.43633.53966.243

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 24 are 66 in one seat and A2s in the other (0.0015%); with the seats swapped too, 48 (0.0030%).

A worked example

Take a $200 pot built from $100 each. 66's equity of 66.55% is worth $133.10, a $33.10 edge, and A2s' 33.45% is worth $66.90, which is $33.10 under its stake.

A thousand deals look like this: 66 takes 663, A2s takes 332, 5 are ties.

The same matchup from the other side

Swap the hands and you get A2s with 33.45% against 66 with 66.55%. We keep one page per matchup, with the better-ranked hand first.

Open the calculator with 6s6h against Ad2d 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

Each figure is a complete count over boards. Take the 24 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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