66 vs A4s: preflop equity

If 66 and A4s get all the chips in before the flop, 66 owns 65.80% of the pot in the long run and A4s owns 34.20%.

66

65.80%

Wins 65.57%, ties 0.47%

A4s

34.20%

Wins 33.96%, ties 0.47%

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

66 against A4s: the numbers

Exact preflop results for 66 against A4s, in percent
HandWinsTiesLosesEquity
6665.5670.46933.96465.801
A4s33.9640.46965.56734.199

66 is a pocket pair and A4s is a suited hand. 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.

A lead of 31.60 points is large but not decisive: A4s still takes about 339 of every 1,000 deals. Ties are 0.47% of the outcomes here; each tied board gives both hands half the pot.

For context, 66 sits at number 17 of 169 starting hands and A4s at number 35 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
6626,945,000193,00013,958,000
A4s13,958,000193,00026,945,000

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 A4s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
661.9241.5252.9440.520
A4s0.5202.9441.5251.924

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

66 prefers low rainbow flops (nine high or lower), where it holds 78.38%, and likes monotone flops least, where it holds 62.32%. 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 A4s by flop texture, in percent
FlopShare of flops66 winsTiesA4s wins66 equity
Rainbow, ten or higher25.22065.4690.25134.28065.594
Rainbow, nine or lower5.68978.0090.73321.25878.375
Two-tone46.54564.6200.31135.06964.775
Monotone5.21261.0802.48336.43762.321
Paired17.33465.5160.51933.96565.775

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

A random hand would give 66 63.29% and A4s 59.03%. Against each other the change is +2.51 points for 66 and -24.83 for A4s.

66 and A4s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops65.80163.285+2.5161.03976
66, rainbow, ten or higher65.59463.285+2.3091.03649
66, rainbow, nine or lower78.37563.285+15.0901.23845
66, two-tone64.77563.285+1.4901.02354
66, monotone62.32163.285-0.9640.98477
66, paired65.77563.285+2.4901.03935
A4s, all flops34.19959.034-24.8350.57931
A4s, rainbow, ten or higher34.40659.034-24.6280.58282
A4s, rainbow, nine or lower21.62559.034-37.4090.36631
A4s, two-tone35.22559.034-23.8090.59669
A4s, monotone37.67959.034-21.3550.63826
A4s, paired34.22559.034-24.8090.57975

Does a shared suit matter?

Split by suits, the deals give 66 66.08% when the hands overlap in a suit and 65.52% when they do not. 66 does better with a shared suit, by 0.56 points.

66 against A4s by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTiesA4s wins66 equity
Share a suit1250.0065.8280.51233.66066.084
No shared suit1250.0065.3050.42634.26965.518

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 A4s 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 65.80% is worth $131.60, a $31.60 edge, and A4s' 34.20% is worth $68.40, which is $31.60 under its stake.

Scaled to 1,000 deals, that is roughly 656 wins for 66, 339 for A4s and 5 chopped pots.

The same matchup from the other side

Swap the hands and you get A4s with 34.20% against 66 with 65.80%. We keep one page per matchup, with the better-ranked hand first.

6s6h against Ad4d 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

We counted every case. Each suit pattern of the 24 specific 66 against A4s 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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