KTs vs 43s: preflop equity

The exact count puts KTs at 63.40% and 43s at 36.60% when the two hands see all five board cards.

KTs

63.40%

Wins 63.02%, ties 0.76%

43s

36.60%

Wins 36.22%, ties 0.76%

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

KTs against 43s: the numbers

Exact preflop results for KTs against 43s, in percent
HandWinsTiesLosesEquity
KTs63.0190.75536.22663.396
43s36.2260.75563.01936.604

The matchup is suited hands on both sides, KTs against 43s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A 26.80 point lead is real, and 43s still takes about 362 of every 1,000 deals outright. 0.76% of boards are ties, so the equity of each hand is its win rate plus half of that.

Place 22 of 169 belongs to KTs and place 150 belongs to 43s in the ranking against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KTs17,265,000207,0009,925,000
43s9,925,000207,00017,265,000

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.

KTs against 43s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KTs1.7321.5872.7600.577
43s0.5772.7601.5871.732

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, KTs peaks at 70.05% on rainbow flops topped by a ten or better and bottoms out at 38.85% on low rainbow flops (nine high or lower). Low rainbow flops (nine high or lower) favor 43s, the hand that is behind overall.

KTs against 43s by flop texture, in percent
FlopShare of flopsKTs winsTies43s winsKTs equity
Rainbow, ten or higher24.59569.8750.34429.78170.047
Rainbow, nine or lower6.31438.4390.81260.74938.845
Two-tone46.72762.4940.40337.10362.695
Monotone5.27358.6883.71037.60260.543
Paired17.09165.0051.37633.61965.693

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

Start from the random-hand figures, 61.79% for KTs and 38.64% for 43s. This opponent changes them by +1.61 and -2.04 points.

KTs and 43s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KTs, all flops63.39661.789+1.6071.02601
KTs, rainbow, ten or higher70.04761.789+8.2581.13365
KTs, rainbow, nine or lower38.84561.789-22.9440.62867
KTs, two-tone62.69561.789+0.9061.01466
KTs, monotone60.54361.789-1.2460.97983
KTs, paired65.69361.789+3.9041.06318
43s, all flops36.60438.642-2.0380.94726
43s, rainbow, ten or higher29.95338.642-8.6890.77514
43s, rainbow, nine or lower61.15538.642+22.5131.58260
43s, two-tone37.30538.642-1.3370.96540
43s, monotone39.45738.642+0.8151.02109
43s, paired34.30738.642-4.3350.88782

Does a shared suit matter?

Does suit overlap move the numbers? KTs has 65.74% when the hands share a suit and 62.62% when they do not. KTs does better with a shared suit, by 3.12 points.

KTs against 43s by suit overlap, in percent
DealsSpecific dealsShare of dealsKTs winsTies43s winsKTs equity
Share a suit425.0065.3160.84133.84365.737
No shared suit1275.0062.2530.72637.02162.616

How often this matchup comes up

This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. KTs is worth $126.80 on average (+$26.80); 43s is worth $73.20 (-$26.80).

A thousand deals look like this: KTs takes 630, 43s takes 362, 8 are ties.

The same matchup from the other side

The reversed view, 43s against KTs, shows 36.60% for 43s and 63.40% for KTs. It is the same count, so it redirects here.

KsTs against 4h3h 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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