A4s vs JTo: preflop equity

Over all 1,712,304 boards that can follow this deal, A4s finishes with 57.12% of the pot and JTo with 42.88%.

A4s

57.12%

Wins 56.89%, ties 0.46%

JTo

42.88%

Wins 42.65%, ties 0.46%

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

A4s against JTo: the numbers

Exact preflop results for A4s against JTo, in percent
HandWinsTiesLosesEquity
A4s56.8860.46242.65257.117
JTo42.6520.46256.88642.883

A4s and JTo are a suited hand and an offsuit hand, in that order. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

The lead is steady rather than large, and the flop still has plenty of say in who wins. Of every 100 boards, about 0.46 are split pots, and the equity figures already include them.

The hand ranking puts A4s at 35 and JTo at 57 out of 169 starting hands.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A4s46,755,000380,00035,056,000
JTo35,056,000380,00046,755,000

48 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.

A4s against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A4s1.3321.7582.3450.751
JTo0.7512.3451.7581.332

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

Split by what the flop looks like, A4s peaks at 70.60% on low rainbow flops (nine high or lower) and bottoms out at 50.18% on rainbow flops topped by a ten or better. A4s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

A4s against JTo by flop texture, in percent
FlopShare of flopsA4s winsTiesJTo winsA4s equity
Rainbow, ten or higher23.98850.1010.16549.73450.183
Rainbow, nine or lower7.04270.2050.78729.00870.598
Two-tone46.66756.5270.28443.18956.669
Monotone5.21253.2572.38544.35854.450
Paired17.09163.0110.64536.34463.333

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of -1.91 points for A4s, from 59.03%, and -12.37 for JTo, from 55.25%.

A4s and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A4s, all flops57.11759.034-1.9170.96753
A4s, rainbow, ten or higher50.18359.034-8.8510.85007
A4s, rainbow, nine or lower70.59859.034+11.5641.19589
A4s, two-tone56.66959.034-2.3650.95994
A4s, monotone54.45059.034-4.5840.92235
A4s, paired63.33359.034+4.2991.07282
JTo, all flops42.88355.248-12.3650.77619
JTo, rainbow, ten or higher49.81755.248-5.4310.90170
JTo, rainbow, nine or lower29.40255.248-25.8460.53218
JTo, two-tone43.33155.248-11.9170.78430
JTo, monotone45.55055.248-9.6980.82446
JTo, paired36.66755.248-18.5810.66368

Does a shared suit matter?

Two kinds of deal exist here. In 24 of them the hands share a suit and A4s holds 56.76%. In 24 they do not, and it holds 57.48%. A4s does better with no shared suit, by 0.72 points.

A4s against JTo by suit overlap, in percent
DealsSpecific dealsShare of dealsA4s winsTiesJTo winsA4s equity
Share a suit2450.0056.5050.50542.99056.758
No shared suit2450.0057.2670.42042.31357.477

How often this matchup comes up

This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average A4s takes back $114.24 of it, which is $14.24 more than it put in, and JTo takes back $85.76, $14.24 less than it put in.

A thousand deals look like this: A4s takes 569, JTo takes 426, 5 are ties.

The same matchup from the other side

Read it from the other side: JTo against A4s is the same matchup with the numbers swapped, so JTo holds 42.88% and A4s holds 57.12%. That address sends you back to this page.

Try As4s against JhTd in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.

How this was computed

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 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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