88 vs QTo: preflop equity

Averaged over every possible board, 88 is ahead of QTo by 7.14 points of equity, 53.57% to 46.43%.

88

53.57%

Wins 53.37%, ties 0.41%

QTo

46.43%

Wins 46.22%, ties 0.41%

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

88 against QTo: the numbers

Exact preflop results for 88 against QTo, in percent
HandWinsTiesLosesEquity
8853.3670.41346.22053.574
QTo46.2200.41353.36746.426

88, a pocket pair, plays QTo, an offsuit hand. 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 7.14 points between them, the board decides this matchup far more than the cards in hand. Ties are part of the picture: 0.41% of boards end in a split pot, and each side counts that as half a win.

88 ranks number 7 of 169 starting hands, and QTo ranks number 47, by equity against a random hand.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
8865,794,000509,00056,983,000
QTo56,983,000509,00065,794,000

72 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.

88 against QTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
881.1541.8742.1640.867
QTo0.8672.1641.8741.154

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

If you know the kind of flop that came, the numbers shift: 88 holds 79.36% on low rainbow flops (nine high or lower) and 45.76% on rainbow flops topped by a ten or better. Watch for rainbow flops topped by a ten or better: on those flops QTo holds the better equity.

88 against QTo by flop texture, in percent
FlopShare of flops88 winsTiesQTo wins88 equity
Rainbow, ten or higher24.71745.6520.22354.12545.764
Rainbow, nine or lower6.31478.9990.72820.27379.363
Two-tone46.48552.1680.31347.51952.325
Monotone5.15149.3541.70648.94050.207
Paired17.33359.4400.45540.10559.667

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

Compared with a random opponent, this matchup shifts 88 from 69.16% by -15.59 points and QTo from 57.29% by -10.86 points.

88 and QTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
88, all flops53.57469.163-15.5890.77460
88, rainbow, ten or higher45.76469.163-23.3990.66168
88, rainbow, nine or lower79.36369.163+10.2001.14748
88, two-tone52.32569.163-16.8380.75655
88, monotone50.20769.163-18.9560.72592
88, paired59.66769.163-9.4960.86270
QTo, all flops46.42657.291-10.8650.81035
QTo, rainbow, ten or higher54.23657.291-3.0550.94668
QTo, rainbow, nine or lower20.63757.291-36.6540.36021
QTo, two-tone47.67557.291-9.6160.83216
QTo, monotone49.79357.291-7.4980.86912
QTo, paired40.33357.291-16.9580.70400

Does a shared suit matter?

When the hands share a suit, 88 holds 53.49%; when they do not, it holds 54.02%. 88 does better with no shared suit, by 0.53 points.

88 against QTo by suit overlap, in percent
DealsSpecific dealsShare of deals88 winsTiesQTo wins88 equity
Share a suit6083.3353.2710.42946.30053.486
No shared suit1216.6753.8480.33445.81854.015

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 72 are 88 in one seat and QTo in the other (0.0044%); with the seats swapped too, 144 (0.0089%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. 88 averages $107.14 from the $200, up $7.14; QTo averages $92.86, down $7.14.

Scaled to 1,000 deals, that is roughly 534 wins for 88, 462 for QTo and 4 chopped pots.

The same matchup from the other side

Read it from the other side: QTo against 88 is the same matchup with the numbers swapped, so QTo holds 46.43% and 88 holds 53.57%. That address sends you back to this page.

Try 8s8h against QdTc 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of 88 against QTo, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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