A5s vs JTo: preflop equity

Dealt all in against each other, A5s takes 57.12% of the pot on average and JTo takes the other 42.88%.

A5s

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.

A5s against JTo: the numbers

Exact preflop results for A5s against JTo, in percent
HandWinsTiesLosesEquity
A5s56.8870.46142.65257.118
JTo42.6520.46156.88742.882

The matchup pits a suited hand against an offsuit hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

A 14.24 point lead is real, and JTo still takes about 426 of every 1,000 deals outright. Ties are part of the picture: 0.46% of boards end in a split pot, and each side counts that as half a win.

In the ranking of all 169 starting hands, A5s is number 30 and JTo is number 57.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A5s46,756,000379,00035,056,000
JTo35,056,000379,00046,756,000

The total is exact: 48 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.

A5s against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A5s1.3321.7582.3450.751
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, A5s 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. A5s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

A5s against JTo by flop texture, in percent
FlopShare of flopsA5s winsTiesJTo winsA5s 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
Monotone5.21253.2582.38444.35854.450
Paired17.09163.0150.64136.34463.335

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

Start from the random-hand figures, 59.92% for A5s and 55.25% for JTo. This opponent changes them by -2.80 and -12.37 points.

A5s and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A5s, all flops57.11859.923-2.8050.95319
A5s, rainbow, ten or higher50.18359.923-9.7400.83746
A5s, rainbow, nine or lower70.59859.923+10.6751.17815
A5s, two-tone56.66959.923-3.2540.94570
A5s, monotone54.45059.923-5.4730.90867
A5s, paired63.33559.923+3.4121.05694
JTo, all flops42.88255.248-12.3660.77617
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, paired36.66555.248-18.5830.66364

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common A5s has 56.76% equity, and with none in common it has 57.48%. A5s does better with no shared suit, by 0.72 points.

A5s against JTo by suit overlap, in percent
DealsSpecific dealsShare of dealsA5s winsTiesJTo winsA5s equity
Share a suit2450.0056.5060.50442.99056.758
No shared suit2450.0057.2680.41942.31357.477

How often this matchup comes up

How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are A5s against JTo, and 96 (0.0059%) if either hand may sit in either seat.

A worked example

Take a $200 pot built from $100 each. A5s' equity of 57.12% is worth $114.24, a $14.24 edge, and JTo's 42.88% is worth $85.76, which is $14.24 under its stake.

In 1,000 deals of exactly this matchup, expect about 569 won outright by A5s, about 426 won outright by JTo and about 5 split.

The same matchup from the other side

Swap the hands and you get JTo with 42.88% against A5s with 57.12%. We keep one page per matchup, with the better-ranked hand first.

Open the calculator with As5s against JhTd 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

Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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