JTs vs 44: preflop equity

If JTs and 44 get all the chips in before the flop, JTs owns 52.71% of the pot in the long run and 44 owns 47.29%.

JTs

52.71%

Wins 52.24%, ties 0.95%

44

47.29%

Wins 46.81%, ties 0.95%

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

JTs against 44: the numbers

Exact preflop results for JTs against 44, in percent
HandWinsTiesLosesEquity
JTs52.2350.94946.81652.709
4446.8160.94952.23547.291

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

JTs leads by less than 6 points of equity, so the result of any one deal is close to a toss-up. Split pots make up 0.95% of the boards, and both equity figures count them as half a win each.

For context, JTs sits at number 45 of 169 starting hands and 44 at number 48 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
JTs21,466,000390,00019,239,000
4419,239,000390,00021,466,000

24 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

JTs against 44 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JTs1.1151.9142.1360.897
440.8972.1361.9141.115

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

Split by what the flop looks like, JTs peaks at 58.17% on rainbow flops topped by a ten or better and bottoms out at 30.42% on low rainbow flops (nine high or lower). Low rainbow flops (nine high or lower) and paired flops favor 44, the hand that is behind overall.

JTs against 44 by flop texture, in percent
FlopShare of flopsJTs winsTies44 winsJTs equity
Rainbow, ten or higher24.59557.9090.51341.57858.166
Rainbow, nine or lower6.31430.1180.59569.28730.415
Two-tone46.54554.0280.50745.46554.281
Monotone5.21250.5242.98246.49452.015
Paired17.33447.9382.27449.78849.075

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

The table below sets each hand against its own random-hand baseline: a change of -4.82 points for JTs, from 57.53%, and -9.73 for 44, from 57.02%.

JTs and 44 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JTs, all flops52.70957.528-4.8190.91623
JTs, rainbow, ten or higher58.16657.528+0.6381.01109
JTs, rainbow, nine or lower30.41557.528-27.1130.52870
JTs, two-tone54.28157.528-3.2470.94356
JTs, monotone52.01557.528-5.5130.90417
JTs, paired49.07557.528-8.4530.85306
44, all flops47.29157.023-9.7320.82933
44, rainbow, ten or higher41.83457.023-15.1890.73363
44, rainbow, nine or lower69.58557.023+12.5621.22030
44, two-tone45.71957.023-11.3040.80176
44, monotone47.98557.023-9.0380.84150
44, paired50.92557.023-6.0980.89306

Does a shared suit matter?

The suit split reads 52.57% for JTs with a shared suit and 52.85% without one. JTs does better with no shared suit, by 0.28 points.

JTs against 44 by suit overlap, in percent
DealsSpecific dealsShare of dealsJTs winsTies44 winsJTs equity
Share a suit1250.0052.0790.98846.93352.573
No shared suit1250.0052.3900.91146.69952.846

How often this matchup comes up

You will meet this exact matchup 0.0030% of the time in a random heads-up deal: 48 of 1,624,350, counting either seat order.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. JTs is worth $105.42 on average (+$5.42); 44 is worth $94.58 (-$5.42).

Out of 1,000 deals you should see around 522 outright wins for JTs, 468 for 44, and 10 split pots.

The same matchup from the other side

Swap the hands and you get 44 with 47.29% against JTs with 52.71%. We keep one page per matchup, with the better-ranked hand first.

Open the calculator with JsTs 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

This is an exact count with no sampling. For the 24 ways to deal one JTs and one 44 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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