66 vs A5s: preflop equity

Before any board card is dealt, 66 holds 65.62% equity against A5s, which leaves A5s with 34.38%.

66

65.62%

Wins 65.39%, ties 0.46%

A5s

34.38%

Wins 34.15%, ties 0.46%

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

66 against A5s: the numbers

Exact preflop results for 66 against A5s, in percent
HandWinsTiesLosesEquity
6665.3910.46434.14565.623
A5s34.1450.46465.39134.377

We compare a pocket pair with a suited hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.

66 is the clear favorite, though A5s gets there on roughly one board in 3. Of every 100 boards, about 0.46 are split pots, and the equity figures already include them.

In the ranking of all 169 starting hands, 66 is number 17 and A5s is number 30.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6626,873,000191,00014,032,000
A5s14,032,000191,00026,873,000

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 A5s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
661.9091.5292.9290.524
A5s0.5242.9291.5291.909

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

66 prefers low rainbow flops (nine high or lower), where it holds 77.57%, and likes monotone flops least, where it holds 62.15%. 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 A5s by flop texture, in percent
FlopShare of flops66 winsTiesA5s wins66 equity
Rainbow, ten or higher25.22065.3630.25134.38665.488
Rainbow, nine or lower5.68977.2270.68922.08477.571
Two-tone46.54564.4100.30435.28664.562
Monotone5.21260.9082.48036.61262.148
Paired17.33465.5290.52033.95165.789

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

Start from the random-hand figures, 63.29% for 66 and 59.92% for A5s. This opponent changes them by +2.33 and -25.54 points.

66 and A5s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops65.62363.285+2.3381.03694
66, rainbow, ten or higher65.48863.285+2.2031.03481
66, rainbow, nine or lower77.57163.285+14.2861.22574
66, two-tone64.56263.285+1.2771.02018
66, monotone62.14863.285-1.1370.98203
66, paired65.78963.285+2.5041.03957
A5s, all flops34.37759.923-25.5460.57369
A5s, rainbow, ten or higher34.51259.923-25.4110.57594
A5s, rainbow, nine or lower22.42959.923-37.4940.37430
A5s, two-tone35.43859.923-24.4850.59139
A5s, monotone37.85259.923-22.0710.63168
A5s, paired34.21159.923-25.7120.57092

Does a shared suit matter?

The suit split reads 65.90% for 66 with a shared suit and 65.35% without one. 66 does better with a shared suit, by 0.55 points.

66 against A5s by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTiesA5s wins66 equity
Share a suit1250.0065.6420.50633.85265.895
No shared suit1250.0065.1400.42134.43965.350

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

With $100 from each side, the $200 pot is split on average as $131.24 for 66 and $68.76 for A5s; the first side gains $31.24 per all-in and the second gives up $31.24.

A thousand deals look like this: 66 takes 654, A5s takes 341, 5 are ties.

The same matchup from the other side

Swap the hands and you get A5s with 34.38% against 66 with 65.62%. We keep one page per matchup, with the better-ranked hand first.

6s6h against Ad5d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

This is an exact count with no sampling. For the 24 ways to deal one 66 and one A5s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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