99 vs 97s: preflop equity

In equity, 99 against 97s stands at 83.48% to 16.52%, a gap of 66.96 points.

99

83.48%

Wins 81.93%, ties 3.09%

97s

16.52%

Wins 14.98%, ties 3.09%

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

99 against 97s: the numbers

Exact preflop results for 99 against 97s, in percent
HandWinsTiesLosesEquity
9981.9313.08914.98083.476
97s14.9803.08981.93116.524

99 is a pocket pair and 97s is a suited hand. The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.

99 is a big favorite here before anyone sees a flop. A split pot comes up on 3.09% of boards, so the wins and the equity differ by half of that.

In the ranking of all 169 starting hands, 99 is number 6 and 97s is number 94.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9916,835,000635,0003,078,000
97s3,078,000635,00016,835,000

Exact total: 12 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

99 against 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
995.0521.2216.6760.198
97s0.1986.6761.2215.052

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

Rainbow flops topped by a ten or better are the best for 99 (87.49%); monotone flops are the worst (74.75%). 99 stays ahead on all five textures.

99 against 97s by flop texture, in percent
FlopShare of flops99 winsTies97s wins99 equity
Rainbow, ten or higher25.78685.9982.98011.02287.488
Rainbow, nine or lower4.99580.2403.30416.45681.892
Two-tone46.23680.6222.78516.59382.014
Monotone5.15273.0553.38123.56474.745
Paired17.83182.4843.88913.62784.428

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

How much does the opponent matter? Compared with its random-hand 72.06%, 99 changes by +11.42 points, and 97s, from 49.12%, by -32.60.

99 and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops83.47672.057+11.4191.15847
99, rainbow, ten or higher87.48872.057+15.4311.21415
99, rainbow, nine or lower81.89272.057+9.8351.13649
99, two-tone82.01472.057+9.9571.13818
99, monotone74.74572.057+2.6881.03730
99, paired84.42872.057+12.3711.17168
97s, all flops16.52449.118-32.5940.33641
97s, rainbow, ten or higher12.51249.118-36.6060.25473
97s, rainbow, nine or lower18.10849.118-31.0100.36866
97s, two-tone17.98649.118-31.1320.36618
97s, monotone25.25549.118-23.8630.51417
97s, paired15.57249.118-33.5460.31703

Does a shared suit matter?

For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.

99 against 97s by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTies97s wins99 equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0081.9313.08914.98083.476

How often this matchup comes up

The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.

A worked example

Put $100 each into a $200 pot and deal every board once: 99 averages $166.96 back, ahead of its $100 by $66.96, while 97s averages $33.04, short of its $100 by $66.96.

Think in thousands: about 819 of 1,000 go to 99, about 150 go to 97s, and about 31 are chopped.

The same matchup from the other side

Read it from the other side: 97s against 99 is the same matchup with the numbers swapped, so 97s holds 16.52% and 99 holds 83.48%. That address sends you back to this page.

Try 9s9h against 9d7d 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

Method: exact enumeration. The 12 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

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

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