99 vs 65s: preflop equity

In equity, 99 against 65s stands at 78.86% to 21.14%, a gap of 57.72 points.

99

78.86%

Wins 78.53%, ties 0.66%

65s

21.14%

Wins 20.81%, ties 0.66%

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

99 against 65s: the numbers

Exact preflop results for 99 against 65s, in percent
HandWinsTiesLosesEquity
9978.5300.65820.81278.859
65s20.8120.65878.53021.141

The matchup pits a pocket pair against a suited hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.

That is a clear edge, 78.86% to 21.14%, but 65s still wins often enough that one hand proves nothing. Ties are 0.66% of the outcomes here; each tied board gives both hands half the pot.

The hand ranking puts 99 at 6 and 65s at 128 out of 169 starting hands.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9932,272,000270,0008,553,000
65s8,553,000270,00032,272,000

24 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

99 against 65s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
993.7301.2734.8050.268
65s0.2684.8051.2733.730

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

99 prefers rainbow flops topped by a ten or better, where it holds 83.74%, and likes low rainbow flops (nine high or lower) least, where it holds 63.60%. 99 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

99 against 65s by flop texture, in percent
FlopShare of flops99 winsTies65s wins99 equity
Rainbow, ten or higher25.84483.5530.36416.08383.735
Rainbow, nine or lower5.06563.2570.68236.06163.598
Two-tone46.54576.7940.39322.81376.990
Monotone5.21272.3362.50225.16273.587
Paired17.33482.0271.25016.72382.652

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of +6.80 points for 99, from 72.06%, and -21.99 for 65s, from 43.13%.

99 and 65s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops78.85972.057+6.8021.09440
99, rainbow, ten or higher83.73572.057+11.6781.16207
99, rainbow, nine or lower63.59872.057-8.4590.88261
99, two-tone76.99072.057+4.9331.06846
99, monotone73.58772.057+1.5301.02123
99, paired82.65272.057+10.5951.14704
65s, all flops21.14143.133-21.9920.49014
65s, rainbow, ten or higher16.26543.133-26.8680.37709
65s, rainbow, nine or lower36.40243.133-6.7310.84395
65s, two-tone23.01043.133-20.1230.53347
65s, monotone26.41343.133-16.7200.61236
65s, paired17.34843.133-25.7850.40220

Does a shared suit matter?

Does suit overlap move the numbers? 99 has 79.42% when the hands share a suit and 78.30% when they do not. 99 does better with a shared suit, by 1.12 points.

99 against 65s by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTies65s wins99 equity
Share a suit1250.0079.0660.70220.23279.417
No shared suit1250.0077.9940.61521.39178.302

How often this matchup comes up

How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are 99 against 65s, and 48 (0.0030%) if either hand may sit in either seat.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, 99's average share is $157.72 (a gain of $57.72) and 65s' is $42.28 (a loss of $57.72).

Think in thousands: about 785 of 1,000 go to 99, about 208 go to 65s, and about 7 are chopped.

The same matchup from the other side

65s against 99 adds nothing new: it is 21.14% for 65s and 78.86% for 99, the same figures reversed.

9s9h against 6d5d 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

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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