Hold'em Hand Equity vs. 1-9 Random Opponents (Data)

Every poker player knows that pocket aces are the best starting hand, but far fewer know how much the advantage shrinks as more opponents enter the pot. This reference page publishes Texas Hold'em hand equity for all 169 starting-hand classes against one to nine random opponents, computed with a 180,000-trial Monte Carlo simulation per hand class and validated against a closed-form check. If you need a citable table of Texas Hold'em hand equity against random opponents, the numbers below are meant to be copied, quoted and linked.

Key Findings

Pocket aces win 85.3% of the time heads-up against a random hand but only 31.0% against nine opponents. The worst hand, 3-2 offsuit, has 32.2% equity heads-up, and 7-2 offsuit has 34.5%. Every hand's equity falls roughly in proportion to the number of opponents, and the average across all 1,326 combinations equals exactly 1/(N+1), which validates the simulation.

Why Hand Equity Against Random Opponents Matters

Equity is the share of the pot a hand would win on average if all the remaining cards were dealt out with no further betting. It is the foundation of pot odds, of every all-in decision and of the solver outputs used in modern strategy study. Equity against a random hand is the simplest possible benchmark: it assumes the opponent holds any two cards with equal probability, which is the correct assumption before anyone has acted and before any information has been revealed. Real opponents do not hold random hands once they have called or raised, so these numbers are best read as a pre-action baseline rather than a prediction of what will happen at your table.

That baseline is still useful for three reasons. First, it gives a hand-strength scale that does not depend on opponent assumptions, which makes it a clean reference for teaching and for comparing hands. Second, it exposes how quickly hand values compress in multiway pots, which is the arithmetic behind advice such as "play tighter against more players." Third, it provides a sanity check for any calculator, since the weighted average of all hands must equal the fair share of the pot. If you want to explore specific matchups interactively, try the DeucesCracked equity calculator; this page is the static reference companion to it.

Methodology

Simulation design

For each of the 169 non-equivalent starting hands (13 pocket pairs, 78 suited hands and 78 offsuit hands, as described in the Wikipedia starting-hand reference), we dealt the hero's two cards, shuffled the remaining 50 cards, and dealt a five-card board plus nine independent two-card opponent hands. Each trial was then scored for one through nine opponents by comparing the hero's best five-card hand from seven cards against the first N opponents' best five-card hands. Using nested opponent sets within the same deal means the nine columns share random draws, which keeps the table internally consistent: equity cannot rise as an extra opponent is added.

Four independent runs of 45,000 trials per hand class (180,000 trials total per class) were averaged. Ties were scored by splitting the pot equally among all tied hands, so a hand that chops with one opponent contributes 0.5 of a win. The tables below report both win percentage (outright wins only) and equity (wins plus split-pot share) where the distinction matters. Suited hands used the same suit for both hole cards and offsuit hands used two different suits; because suits are symmetric before the flop, the specific suits chosen do not affect the results.

Accuracy and validation

With 180,000 trials per hand class, the standard error of any single equity figure is at most about 0.12 percentage points (the worst case occurs at 50% equity; it is smaller near 0% and 100%). We therefore round to one decimal place and recommend treating differences under roughly 0.3 percentage points as noise. As an independent check, we computed the combination-weighted average equity across all 169 classes (6 combinations per pair, 4 per suited hand, 12 per offsuit hand, 1,326 in total). In a symmetric game, a random hand's expected share of the pot against N random opponents must equal exactly 1/(N+1). The validation table below shows that our simulated averages match that target to within 0.1 percentage point for every opponent count, and the simulation reproduces the widely published heads-up figure of about 85% for pocket aces.

Equity of Key Starting Hands vs. 1-9 Random Opponents

The table below lists equity for 41 representative hands: every pocket pair, the strongest broadway hands, suited connectors, suited aces and a selection of weak offsuit holdings. Columns show the number of random opponents.

How to read the table

Read across a row to see how a single hand deteriorates as the field grows. Pocket aces fall from 85.3% heads-up to 73.6% against two opponents, 63.9% against three and 49.1% against five. They remain the best hand at every table size, but by the time six or more players see a flop the "best hand" is a statistical underdog to the field: aces fall below 50% equity once there are five or more opponents (49.1% against five). Read down a column to rank hands for a given table size. Against one random opponent, ace-king suited (67.2%) is a 2-to-1 favourite over a random hand; against nine it is 20.7%, roughly double its fair share of 10%.

The Full 169-Hand Heads-Up Equity Grid

The grid below shows equity against one random opponent for every starting hand. Pocket pairs sit on the diagonal, suited hands above it and offsuit hands below it. The higher card of the hand determines the row and the lower card the column for offsuit hands; for suited hands the roles are reversed, following the standard 13x13 chart layout used in preflop reference material.

Best and worst starting hands

The ordering at the top is not strictly by pair rank and high cards: ace-king suited and ace-queen suited sit among the top ten because they combine high-card strength with flush and straight potential. At the bottom, 3-2 offsuit (32.2%) edges out even 7-2 offsuit (34.5%) as the weakest hand in heads-up equity against a random opponent, a well-known result: 7-2 is the weakest hand by rank in many informal rankings, but its extra high card gives it slightly more outright wins than 3-2. Note that the spread between best and worst is 53.1 percentage points, which is wide, but it is much narrower than the gap between hands that experienced players treat as playable and hands they fold.

Win Percentage vs. Equity: The Role of Ties

Equity and win percentage differ only by the share of pots that are split. Ties matter most for hands whose strength comes from board play or from kicker battles, and the effect is largest heads-up. The table compares both figures heads-up and against five opponents for hands where the gap is visible.

Heads-up, weak offsuit hands such as 3-2 and 7-2 pick up about 3 percentage points of equity from split pots, versus well under 1 point for premium pairs; the gap closes in multiway pots, where the tie share of these hands drops below 1 point. Many of the heads-up chops come from playing the board. In practice that means a raw "win percentage" overstates how often those hands take down the whole pot. Use equity, not win percentage, when computing pot odds.

How Fast Does Equity Decay With More Opponents?

Two patterns stand out. First, premium hands lose absolute equity fastest but keep the largest relative edge over the field: pocket aces retain 3.1 times their fair share against nine opponents, while 7-2 offsuit has only 0.47 times its fair share. Second, drawing-oriented hands such as suited connectors decay at a proportionally slower rate than high-card offsuit hands. Jack-ten suited keeps 28% of its heads-up equity against nine opponents, versus 19% for king-nine offsuit. That is the arithmetic behind the conventional wisdom that suited, connected hands gain value in multiway pots while dominated offsuit hands lose it. The conventional wisdom is about equity realisation and implied odds as well, which random-opponent equity does not capture, so treat this as supporting evidence rather than a complete argument.

Pocket Pairs: A Rank-by-Rank Look

Pocket pairs lose roughly 12 to 20 percentage points of equity when a second random opponent joins the hand. The loss is largest for the highest pairs in absolute terms, because they have the most to lose, but the smallest pairs fall below one third of the pot quickly: pocket deuces have 50.2% heads-up and 30.6% three-handed, a little below the three-way fair share of 33.3%. Mid pairs such as 88 are favourites against one random hand (69.2%), but with four opponents they hold 29.4%, a clear premium over the 20% fair share. That premium is largely the source of the "set-mining" value discussed in strategy guides: the equity edge of a small pair is thin, and most of its profit comes from flopping a set and winning a large pot. For a deeper treatment, see the DeucesCracked poker strategy hub.

Suited vs. Offsuit: The Value of a Shared Suit

Suitedness is worth roughly 2.5 percentage points of heads-up equity on average across the connected and broadway hands in the table. The premium is not a constant: it is larger for connected hands and smaller for hands where the high cards already dominate. In multiway pots the premium widens in absolute terms for every hand in the table (roughly 3.2 to 4.2 points against six opponents), consistent with flush draws mattering more when pots are contested. Players who fold suited hands "because they are only 2 points better" are making a statement about an average that hides how that equity is distributed across outcomes: it comes largely from flush and straight-flush draws that win big pots when they hit.

Practical Uses of This Data

Calibrating pot odds in multiway pots

If you are all-in preflop against several callers, your required equity is determined by pot odds exactly as in any other situation. The random-opponent baseline gives a quick intuition for whether you are a favourite or an underdog before the actual ranges are considered. For example, with nine opponents the fair share is 10%, so any hand above that line is a favourite relative to the "average" opponent. Against realistic ranges the numbers will be lower, because opponents who stay in the pot hold stronger-than-average hands; the correction is the subject of range-versus-range equity analysis, as covered in our guide to GTO versus exploitative play.

Teaching and content creation

Instructors, journalists and students frequently need a verified table of hand equity to illustrate why aces are "only" about 85% to win heads-up, why 7-2 is not the worst hand, or why a ten-handed table behaves so differently from heads-up. A reference with documented methodology can be cited directly. For hand-ranking definitions, see our hand rankings guide, and for terminology used throughout this page consult the poker glossary.

Checking other tools

Because the weighted average equity across all hands must equal 1/(N+1), anyone building or auditing an equity calculator can use that identity as a regression test. It will not catch an error that shifts equity between hands in a symmetric way, but it will catch common bugs in tie handling, in card removal and in split-pot accounting.

Limitations

This analysis has several limitations that readers should keep in mind. The figures are Monte Carlo estimates and carry a standard error of up to about 0.12 percentage points, so small differences between adjacent hands should not be over-interpreted. All opponents hold uniformly random hands, which does not reflect real opponent ranges, and the numbers describe showdown equity with all five board cards dealt, ignoring folding, betting, position and stack depth. Equity is not the same as expected value: a hand's ability to realise its equity depends on position, initiative and post-flop skill, and a hand with modest raw equity can be highly profitable if it plays well in the right spots. Finally, results are for no-ante, standard 52-card Hold'em with no burn-card effects, which do not alter the probabilities.

Frequently Asked Questions

How often do pocket aces win against a random hand?

In our simulation, pocket aces have 85.3% equity heads-up against a random hand, of which 85.0% is outright wins and the remainder is split pots. That is consistent with the commonly cited figure of roughly 85%.

What is the worst starting hand in Texas Hold'em?

Against a random opponent, 3-2 offsuit has the lowest heads-up equity at 32.2%, slightly below 7-2 offsuit at 34.5%. Rankings differ by method; for example, strategy-based rankings that consider playability and position may order the worst hands differently.

Why does equity fall as more opponents are added?

Because the hand must now beat every opponent, not just one. The weighted average equity of all hands equals 1/(N+1), so the pie is divided among more players, and even the strongest hands lose share. Pocket aces fall from 85.3% heads-up to 31.0% against nine opponents.

Are these numbers valid against real opponents?

They are valid against opponents who hold random hands, which is a reasonable baseline preflop before any action. Opponents who have called or raised hold stronger ranges, so your actual equity will be lower. Use a range-based tool, such as our equity calculator, for realistic matchups.

How accurate is a Monte Carlo equity estimate?

With 180,000 trials per hand the standard error is at most about 0.12 percentage points, and the weighted-average validation shows agreement with theory to within 0.1 point at every opponent count. Exact enumeration of all possible boards would remove the sampling error, but would not change any figure materially at one-decimal precision.

Sources and Further Reading

• Wikipedia, Texas hold 'em starting hands (1,326 combinations; 169 non-equivalent hands; pocket-pair frequency).
• Wikipedia, Monte Carlo method (background on sampling error).
• Wikipedia, Poker probability (hand frequencies and combinatorics).
• DeucesCracked original simulation (November 2026): 169 hand classes x 180,000 trials x 1-9 opponents; results combined across four independent runs.

Cite This Article

If you use data from this article, please link back to https://www.deucescracked.com/blog/texas-holdem-equity-vs-random-opponents-by-hand-data. Suggested citation: DeucesCracked Editorial, "Texas Hold'em Hand Equity vs. 1-9 Random Opponents," November 2026.

For more poker reference material and tools, visit our poker sites directory or browse the DeucesCracked blog.