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99 vs KQo

99
VS
KQo
55.2%
equity for 99 — KQo takes 44.8%

Pair against two overcards — the classic coinflip, with the pair a shade ahead.

99 Win
55.0%
Tie
0.4%
99 Lose
44.5%
Card combinations
72
99 vs random
72.2% · #6
KQo vs random
61.5% · #23
Breakdown

Win, tie and loss for 99

Win 55.0%Lose 44.5%

When 99 and KQo get all in before the flop, 99 wins 55.2% of the time and KQo takes 44.8%. Broken down, 99 wins outright 55.0%, chops 0.4% and loses 44.5% — a margin of 10.5 points. Pair against two overcards — the classic coinflip, with the pair a shade ahead.

The same matchup shifts depending on how the suits overlap. With both suits shared the number is 54.7% (for example 9s 9h against Ks Qh); with no shared suit it is 55.9% (9s 9h against Kd Qc). That is a spread of 1.2 points across the 72 distinct card combinations, and it comes almost entirely from whether the two hands are fighting over the same flush.

Add a third player holding a random hand and the split becomes 99 43.4%, KQo 37.9%, random 18.7%. 99 gives up 11.8 points and KQo gives up 6.9, so the favourite loses more than the underdog does. Extra players always eat into the leader's share faster than into anyone else's.

Taken on their own, 99 is worth 72.2% against a random hand (rank 6 of 169) and KQo is worth 61.5% (rank 23). The gap between them in the ranking is only 10.7 points, yet head to head the gap is 10.5 points, which is roughly what the ranking table predicts.

Framed as a run of one hundred identical all-ins, 99 scoops roughly 55 pots, splits about one, and loses the remaining 45. Against eight random opponents rather than this one specific hand, 99 would be down to 17.2% and KQo to 16.7%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From KQo's side, 44.8% is the break-even point for calling an all-in at 1.23:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 44.8% of the pot you are playing for. 99 holds the other 55.2% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 72 card combinations with five board cards still to come — there is no fold equity in it, so the value of shoving in practice is usually higher than the raw percentage suggests. Second, it assumes KQo really does hold exactly KQo; against the wider range a player would actually get all in with, 99's 55.2% moves. Use the individual pages for 99 and KQo to see how each of them fares against all 168 other holdings before treating this single pairing as the whole picture.

By shared suits

Overlapping suits move the number

200,000 simulated showdowns per condition. The example column shows one concrete four-card layout.

ConditionExampleCombos99 EquityWinTieLose
No shared suit9s 9h vs Kd Qc1255.9%55.7%0.3%44.0%
One shared suit9s 9h vs Ks Qd4855.2%55.0%0.4%44.6%
Both suits shared9s 9h vs Ks Qh1254.7%54.4%0.5%45.1%
Three-way

Adding a random third hand

200,000 simulated showdowns, with the third hand dealt at random each time.

99
43.4%
vs heads-up -11.8pt
KQo
37.9%
vs heads-up -6.9pt
Random third hand
18.7%
Player count

At a bigger table

Random opponents99KQo
172.2%61.5%
253.8%44.4%
432.5%29.2%
817.2%16.7%

Related

FAQ

99 or KQo — which is ahead preflop?

99 is the favourite. 99 takes 55.2% and KQo 44.8%, a margin of 10.5 points, with 0.4% of hands ending in a chop.

Do the suits change 99 vs KQo?

Yes. With both suits shared it is 54.7%, and with no shared suit it is 55.9% — a swing of up to 1.2 points.

What happens three-way?

With one extra random hand in the pot the split is 99 43.4%, KQo 37.9%, random 18.7%. 99 drops 11.8 points compared with heads-up.

424 words / 30 distinct figures — Method