JTo vs 22: preflop equity

Over all 1,712,304 boards that can follow this deal, JTo finishes with 51.63% of the pot and 22 with 48.37%.

JTo

51.63%

Wins 50.91%, ties 1.44%

22

48.37%

Wins 47.65%, ties 1.44%

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

JTo against 22: the numbers

Exact preflop results for JTo against 22, in percent
HandWinsTiesLosesEquity
JTo50.9141.43747.64951.633
2247.6491.43750.91448.367

JTo and 22 are an offsuit hand and a pocket pair, in that order. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.

With only 3.26 points between them, the board decides this matchup far more than the cards in hand. Split pots make up 1.44% of the boards, and both equity figures count them as half a win each.

Ranked by equity against a random hand, JTo is number 57 of the 169 starting hands and 22 is number 87.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JTo62,770,0001,772,00058,744,000
2258,744,0001,772,00062,770,000

Exact total: 72 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.

JTo against 22 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JTo1.0681.9642.0990.937
220.9372.0991.9641.068

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

Break the boards down by their first three cards and JTo is strongest on rainbow flops topped by a ten or better (57.32%) and weakest on low rainbow flops (nine high or lower) (29.76%). JTo is the favorite overall but falls behind on low rainbow flops (nine high or lower).

JTo against 22 by flop texture, in percent
FlopShare of flopsJTo winsTies22 winsJTo equity
Rainbow, ten or higher24.71756.9400.76142.29957.320
Rainbow, nine or lower6.31429.2710.97969.75029.760
Two-tone46.48551.4690.78947.74251.864
Monotone5.15152.0313.03644.93353.549
Paired17.33348.3853.83347.78250.302

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

Compared with a random opponent, this matchup shifts JTo from 55.25% by -3.62 points and 22 from 50.33% by -1.96 points.

JTo and 22 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JTo, all flops51.63355.248-3.6150.93457
JTo, rainbow, ten or higher57.32055.248+2.0721.03750
JTo, rainbow, nine or lower29.76055.248-25.4880.53866
JTo, two-tone51.86455.248-3.3840.93875
JTo, monotone53.54955.248-1.6990.96925
JTo, paired50.30255.248-4.9460.91048
22, all flops48.36750.334-1.9670.96092
22, rainbow, ten or higher42.68050.334-7.6540.84794
22, rainbow, nine or lower70.24050.334+19.9061.39548
22, two-tone48.13650.334-2.1980.95633
22, monotone46.45150.334-3.8830.92286
22, paired49.69850.334-0.6360.98736

Does a shared suit matter?

Of the deals of this matchup, 60 share a suit (JTo at 51.72%) and 12 do not (51.18%). JTo does better with a shared suit, by 0.54 points.

JTo against 22 by suit overlap, in percent
DealsSpecific dealsShare of dealsJTo winsTies22 winsJTo equity
Share a suit6083.3351.0021.44447.55451.724
No shared suit1216.6750.4761.40148.12351.177

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 72 are JTo in one seat and 22 in the other (0.0044%); with the seats swapped too, 144 (0.0089%).

A worked example

With $100 from each side, the $200 pot is split on average as $103.26 for JTo and $96.74 for 22; the first side gains $3.26 per all-in and the second gives up $3.26.

Over a long run, 1,000 deals split into about 509 for JTo, 477 for 22 and 14 tied.

The same matchup from the other side

Swap the hands and you get 22 with 48.37% against JTo with 51.63%. We keep one page per matchup, with the better-ranked hand first.

JsTh against 2d2c 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

This is an exact count with no sampling. For the 72 ways to deal one JTo and one 22 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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