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99 vs KQs

99
VS
KQs
52.4%
equity for 99 — KQs takes 47.6%

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

99 Win
52.2%
Tie
0.4%
99 Lose
47.4%
Card combinations
24
99 vs random
72.2% · #6
KQs vs random
63.4% · #16
Breakdown

Win, tie and loss for 99

Win 52.2%Lose 47.4%

When 99 and KQs get all in before the flop, 99 wins 52.4% of the time and KQs takes 47.6%. Broken down, 99 wins outright 52.2%, chops 0.4% and loses 47.4% — a margin of 4.8 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 no shared suit the number is 52.2% (for example 9s 9h against Kd Qd); with one shared suit it is 52.6% (9s 9h against Ks Qs). That is a spread of 0.38 points across the 24 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 41.4%, KQs 40.6%, random 18.0%. 99 gives up 11 points and KQs gives up 7, 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 KQs is worth 63.4% (rank 16). The gap between them in the ranking is only 8.8 points, yet head to head the gap is 4.8 points, which is roughly what the ranking table predicts.

Framed as a run of one hundred identical all-ins, 99 scoops roughly 52 pots, splits about one, and loses the remaining 47. Against eight random opponents rather than this one specific hand, 99 would be down to 17.2% and KQs to 20.4%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From KQs's side, 47.6% is the break-even point for calling an all-in at 1.1:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 47.6% of the pot you are playing for. 99 holds the other 52.4% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 24 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 KQs really does hold exactly KQs; against the wider range a player would actually get all in with, 99's 52.4% moves. Use the individual pages for 99 and KQs 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 Qd1252.2%52.0%0.4%47.6%
One shared suit9s 9h vs Ks Qs1252.6%52.4%0.4%47.2%
Three-way

Adding a random third hand

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

99
41.4%
vs heads-up -11.0pt
KQs
40.6%
vs heads-up -7.0pt
Random third hand
18.0%
Player count

At a bigger table

Random opponents99KQs
172.2%63.4%
253.8%47.2%
432.5%32.3%
817.2%20.4%

Related

FAQ

99 or KQs — which is ahead preflop?

99 is the favourite. 99 takes 52.4% and KQs 47.6%, a margin of 4.8 points, with 0.4% of hands ending in a chop.

Do the suits change 99 vs KQs?

Yes. With no shared suit it is 52.2%, and with one shared suit it is 52.6% — a swing of up to 0.38 points.

What happens three-way?

With one extra random hand in the pot the split is 99 41.4%, KQs 40.6%, random 18.0%. 99 drops 11 points compared with heads-up.

424 words / 29 distinct figures — Method