99 vs A4s: preflop equity

Before any board card is dealt, 99 holds 66.56% equity against A4s, which leaves A4s with 33.44%.

99

66.56%

Wins 66.35%, ties 0.43%

A4s

33.44%

Wins 33.22%, ties 0.43%

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

99 against A4s: the numbers

Exact preflop results for 99 against A4s, in percent
HandWinsTiesLosesEquity
9966.3450.42733.22866.558
A4s33.2280.42766.34533.442

99, a pocket pair, plays A4s, a suited hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.

99 is the clear favorite, though A4s gets there on roughly one board in 3. 0.43% of boards are ties, so the equity of each hand is its win rate plus half of that.

In the ranking of all 169 starting hands, 99 is number 6 and A4s is number 35.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9927,265,000175,00013,655,000
A4s13,655,000175,00027,265,000

The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

99 against A4s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
991.9901.5073.0100.502
A4s0.5023.0101.5071.990

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 99 is strongest on low rainbow flops (nine high or lower) (76.93%) and weakest on monotone flops (62.58%). 99 stays ahead on all five textures.

99 against A4s by flop texture, in percent
FlopShare of flops99 winsTiesA4s wins99 equity
Rainbow, ten or higher25.22066.0490.19933.75266.149
Rainbow, nine or lower5.68976.4580.94722.59576.931
Two-tone46.54564.8080.31234.88064.964
Monotone5.21261.3812.40636.21362.584
Paired17.33469.0760.30130.62369.226

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 99 from 72.06% by -5.50 points and A4s from 59.03% by -25.59 points.

99 and A4s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops66.55872.057-5.4990.92369
99, rainbow, ten or higher66.14972.057-5.9080.91801
99, rainbow, nine or lower76.93172.057+4.8741.06764
99, two-tone64.96472.057-7.0930.90156
99, monotone62.58472.057-9.4730.86853
99, paired69.22672.057-2.8310.96071
A4s, all flops33.44259.034-25.5920.56649
A4s, rainbow, ten or higher33.85159.034-25.1830.57342
A4s, rainbow, nine or lower23.06959.034-35.9650.39077
A4s, two-tone35.03659.034-23.9980.59349
A4s, monotone37.41659.034-21.6180.63380
A4s, paired30.77459.034-28.2600.52129

Does a shared suit matter?

When the hands share a suit, 99 holds 66.85%; when they do not, it holds 66.26%. 99 does better with a shared suit, by 0.59 points.

99 against A4s by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTiesA4s wins99 equity
Share a suit1250.0066.6180.47232.91066.854
No shared suit1250.0066.0710.38233.54766.262

How often this matchup comes up

The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.

A worked example

Put $100 each into a $200 pot and deal every board once: 99 averages $133.12 back, ahead of its $100 by $33.12, while A4s averages $66.88, short of its $100 by $33.12.

Scaled to 1,000 deals, that is roughly 664 wins for 99, 332 for A4s and 4 chopped pots.

The same matchup from the other side

A4s versus 99 is this same page seen from the other hand: 33.44% for A4s, 66.56% for 99.

9s9h against Ad4d 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

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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