44 vs T8s: preflop equity

Counting every board, the equity split is 51.43% for T8s and 48.57% for 44, so T8s leads by 2.86 points.

44

48.57%

Wins 47.98%, ties 1.18%

T8s

51.43%

Wins 50.84%, ties 1.18%

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

44 against T8s: the numbers

Exact preflop results for 44 against T8s, in percent
HandWinsTiesLosesEquity
4447.9831.18050.83748.573
T8s50.8371.18047.98351.427

Here a pocket pair (44) meets a suited hand (T8s). This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.

That is a slim edge: neither hand is far ahead. Of every 100 boards, about 1.18 are split pots, and the equity figures already include them.

For context, 44 sits at number 48 of 169 starting hands and T8s at number 73 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
4419,719,000485,00020,892,000
T8s20,892,000485,00019,719,000

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.

44 against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
440.9452.0841.9671.059
T8s1.0591.9672.0840.945

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

By flop texture, T8s' equity runs from 45.77% on low rainbow flops (nine high or lower) up to 53.00% on two-tone flops. 44 is ahead on low rainbow flops (nine high or lower) and paired flops, even though it trails T8s when every flop is counted.

44 against T8s by flop texture, in percent
FlopShare of flops44 winsTiesT8s wins44 equity
Rainbow, ten or higher25.22047.3650.69151.94447.710
Rainbow, nine or lower5.68953.9740.51845.50854.233
Two-tone46.54546.6860.62952.68547.000
Monotone5.21247.3343.07649.59048.872
Paired17.33450.5933.01946.38852.103

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Compared with a random opponent, this matchup shifts 44 from 57.02% by -8.45 points and T8s from 52.33% by -0.90 points.

44 and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
44, all flops48.57357.023-8.4500.85181
44, rainbow, ten or higher47.71057.023-9.3130.83668
44, rainbow, nine or lower54.23357.023-2.7900.95107
44, two-tone47.00057.023-10.0230.82423
44, monotone48.87257.023-8.1510.85706
44, paired52.10357.023-4.9200.91372
T8s, all flops51.42752.334-0.9070.98267
T8s, rainbow, ten or higher52.29052.334-0.0440.99916
T8s, rainbow, nine or lower45.76752.334-6.5670.87452
T8s, two-tone53.00052.334+0.6661.01273
T8s, monotone51.12852.334-1.2060.97696
T8s, paired47.89752.334-4.4370.91522

Does a shared suit matter?

Does suit overlap move the numbers? T8s has 51.28% when the hands share a suit and 51.57% when they do not. T8s does better with no shared suit, by 0.29 points.

44 against T8s by suit overlap, in percent
DealsSpecific dealsShare of deals44 winsTiesT8s wins44 equity
Share a suit1250.0048.1091.21650.67548.717
No shared suit1250.0047.8571.14450.99948.429

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, T8s' average share is $102.86 (a gain of $2.86) and 44's is $97.14 (a loss of $2.86).

Over a long run, 1,000 deals split into about 508 for T8s, 480 for 44 and 12 tied.

The same matchup from the other side

T8s against 44 adds nothing new: it is 51.43% for T8s and 48.57% for 44, the same figures reversed.

4s4h against Td8d 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of 44 against T8s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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