A8s vs 44: preflop equity

Counting every board, the equity split is 51.63% for 44 and 48.37% for A8s, so 44 leads by 3.26 points.

A8s

48.37%

Wins 48.12%, ties 0.52%

44

51.63%

Wins 51.36%, ties 0.52%

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

A8s against 44: the numbers

Exact preflop results for A8s against 44, in percent
HandWinsTiesLosesEquity
A8s48.1160.51551.36948.373
4451.3690.51548.11651.627

A8s and 44 are a suited hand and a pocket pair, in that order. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.

That is a slim edge: neither hand is far ahead. Of every 100 boards, about 0.52 are split pots, and the equity figures already include them.

Ranked by equity against a random hand, A8s is number 21 of the 169 starting hands and 44 is number 48.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A8s19,773,000212,00021,110,000
4421,110,000212,00019,773,000

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.

A8s against 44 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A8s0.9372.0781.9471.067
441.0671.9472.0780.937

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

44 prefers low rainbow flops (nine high or lower), where it holds 58.87%, and likes two-tone flops least, where it holds 50.41%. 44 stays ahead on all five textures.

A8s against 44 by flop texture, in percent
FlopShare of flopsA8s winsTies44 winsA8s equity
Rainbow, ten or higher25.22048.5810.24751.17248.705
Rainbow, nine or lower5.68940.7150.82258.46341.126
Two-tone46.54549.4240.32850.24849.588
Monotone5.21247.3682.82349.80948.780
Paired17.33446.5800.61252.80846.886

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

How much does the opponent matter? Compared with its random-hand 61.94%, A8s changes by -13.57 points, and 44, from 57.02%, by -5.39.

A8s and 44 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A8s, all flops48.37361.944-13.5710.78092
A8s, rainbow, ten or higher48.70561.944-13.2390.78627
A8s, rainbow, nine or lower41.12661.944-20.8180.66392
A8s, two-tone49.58861.944-12.3560.80053
A8s, monotone48.78061.944-13.1640.78749
A8s, paired46.88661.944-15.0580.75691
44, all flops51.62757.023-5.3960.90537
44, rainbow, ten or higher51.29557.023-5.7280.89955
44, rainbow, nine or lower58.87457.023+1.8511.03246
44, two-tone50.41257.023-6.6110.88406
44, monotone51.22057.023-5.8030.89823
44, paired53.11457.023-3.9090.93145

Does a shared suit matter?

The suit split reads 51.81% for 44 with a shared suit and 51.44% without one. 44 does better with a shared suit, by 0.37 points.

A8s against 44 by suit overlap, in percent
DealsSpecific dealsShare of dealsA8s winsTies44 winsA8s equity
Share a suit1250.0047.9150.55151.53448.191
No shared suit1250.0048.3170.47951.20448.556

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, 44's average share is $103.26 (a gain of $3.26) and A8s' is $96.74 (a loss of $3.26).

In 1,000 deals of exactly this matchup, expect about 514 won outright by 44, about 481 won outright by A8s and about 5 split.

The same matchup from the other side

Swap the hands and you get 44 with 51.63% against A8s with 48.37%. We keep one page per matchup, with the better-ranked hand first.

Open the calculator with As8s against 4h4d 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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