AJs vs KTs: preflop equity

Over all 1,712,304 boards that can follow this deal, AJs finishes with 61.78% of the pot and KTs with 38.22%.

AJs

61.78%

Wins 61.52%, ties 0.51%

KTs

38.22%

Wins 37.97%, ties 0.51%

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

AJs against KTs: the numbers

Exact preflop results for AJs against KTs, in percent
HandWinsTiesLosesEquity
AJs61.5240.50737.96961.778
KTs37.9690.50761.52438.222

Both hands are suited hands: AJs and KTs. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

AJs is ahead, but KTs is far from dead: it takes 380 of every 1,000 deals outright. Ties are part of the picture: 0.51% of boards end in a split pot, and each side counts that as half a win.

For context, AJs sits at number 11 of 169 starting hands and KTs at number 22 when each is run against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AJs16,856,000139,00010,402,000
KTs10,402,000139,00016,856,000

Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

AJs against KTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AJs1.6161.6252.6340.619
KTs0.6192.6341.6251.616

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

The flop changes the picture. AJs does best on low rainbow flops (nine high or lower), at 73.86%, and worst on rainbow flops topped by a ten or better, at 57.87%. AJs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

AJs against KTs by flop texture, in percent
FlopShare of flopsAJs winsTiesKTs winsAJs equity
Rainbow, ten or higher23.13857.8160.11542.06957.873
Rainbow, nine or lower7.77173.4150.89325.69273.861
Two-tone46.72760.7600.27138.96960.895
Monotone5.27356.8793.41339.70858.585
Paired17.09164.6630.60834.72964.967

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

Start from the random-hand figures, 65.39% for AJs and 61.79% for KTs. This opponent changes them by -3.61 and -23.57 points.

AJs and KTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AJs, all flops61.77865.393-3.6150.94472
AJs, rainbow, ten or higher57.87365.393-7.5200.88500
AJs, rainbow, nine or lower73.86165.393+8.4681.12949
AJs, two-tone60.89565.393-4.4980.93122
AJs, monotone58.58565.393-6.8080.89589
AJs, paired64.96765.393-0.4260.99349
KTs, all flops38.22261.789-23.5670.61859
KTs, rainbow, ten or higher42.12761.789-19.6620.68179
KTs, rainbow, nine or lower26.13961.789-35.6500.42304
KTs, two-tone39.10561.789-22.6840.63288
KTs, monotone41.41561.789-20.3740.67026
KTs, paired35.03361.789-26.7560.56698

Does a shared suit matter?

Two kinds of deal exist here. In 4 of them the hands share a suit and AJs holds 64.12%. In 12 they do not, and it holds 61.00%. AJs does better with a shared suit, by 3.12 points.

AJs against KTs by suit overlap, in percent
DealsSpecific dealsShare of dealsAJs winsTiesKTs winsAJs equity
Share a suit425.0063.8230.58435.59364.115
No shared suit1275.0060.7580.48138.76160.998

How often this matchup comes up

AJs against KTs is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. AJs is worth $123.56 on average (+$23.56); KTs is worth $76.44 (-$23.56).

A thousand deals look like this: AJs takes 615, KTs takes 380, 5 are ties.

The same matchup from the other side

The reversed view, KTs against AJs, shows 38.22% for KTs and 61.78% for AJs. It is the same count, so it redirects here.

AsJs against KhTh 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 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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