QQ vs 98s: preflop equity

Averaged over every possible board, QQ is ahead of 98s by 58.00 points of equity, 79.00% to 21.00%.

QQ

79.00%

Wins 78.81%, ties 0.38%

98s

21.00%

Wins 20.81%, ties 0.38%

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

QQ against 98s: the numbers

Exact preflop results for QQ against 98s, in percent
HandWinsTiesLosesEquity
QQ78.8070.37620.81778.995
98s20.8170.37678.80721.005

We compare a pocket pair with a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.

QQ is the clear favorite, though 98s gets there on roughly one board in 5. About 0.38% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Among the 169 starting hands, QQ is number 3 and 98s is number 83 by strength against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
QQ32,386,000155,0008,555,000
98s8,555,000155,00032,386,000

The total is exact: 24 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.

QQ against 98s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QQ3.7611.2694.8040.266
98s0.2664.8041.2693.761

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

By flop texture, QQ's equity runs from 72.82% on low rainbow flops (nine high or lower) up to 83.17% on paired flops. QQ stays ahead on all five textures.

QQ against 98s by flop texture, in percent
FlopShare of flopsQQ winsTies98s winsQQ equity
Rainbow, ten or higher24.59582.3730.18417.44382.465
Rainbow, nine or lower6.31472.4480.74026.81272.818
Two-tone46.54576.9100.27722.81377.048
Monotone5.21272.4302.38325.18773.622
Paired17.33483.0760.17716.74783.165

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

A random hand would give QQ 79.93% and 98s 50.80%. Against each other the change is -0.93 points for QQ and -29.80 for 98s.

QQ and 98s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QQ, all flops78.99579.925-0.9300.98836
QQ, rainbow, ten or higher82.46579.925+2.5401.03178
QQ, rainbow, nine or lower72.81879.925-7.1070.91108
QQ, two-tone77.04879.925-2.8770.96400
QQ, monotone73.62279.925-6.3030.92114
QQ, paired83.16579.925+3.2401.04054
98s, all flops21.00550.801-29.7960.41348
98s, rainbow, ten or higher17.53550.801-33.2660.34517
98s, rainbow, nine or lower27.18250.801-23.6190.53507
98s, two-tone22.95250.801-27.8490.45180
98s, monotone26.37850.801-24.4230.51924
98s, paired16.83550.801-33.9660.33139

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common QQ has 79.55% equity, and with none in common it has 78.44%. QQ does better with a shared suit, by 1.11 points.

QQ against 98s by suit overlap, in percent
DealsSpecific dealsShare of dealsQQ winsTies98s winsQQ equity
Share a suit1250.0079.3460.41720.23779.554
No shared suit1250.0078.2690.33421.39778.436

How often this matchup comes up

How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are QQ against 98s, and 48 (0.0030%) if either hand may sit in either seat.

A worked example

Take a $200 pot built from $100 each. QQ's equity of 79.00% is worth $158.00, a $58.00 edge, and 98s' 21.00% is worth $42.00, which is $58.00 under its stake.

Out of 1,000 deals you should see around 788 outright wins for QQ, 208 for 98s, and 4 split pots.

The same matchup from the other side

Read it from the other side: 98s against QQ is the same matchup with the numbers swapped, so 98s holds 21.00% and QQ holds 79.00%. That address sends you back to this page.

Try QsQh against 9d8d 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

Each figure is a complete count over boards. Take the 24 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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