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A3o vs random hand equity

A3 offsuit has exact preflop equity 55.84% vs a random hand (win 53.86%, tie 3.98%, lose 42.17%), ranking 53 of 169 starting hands. Derived from exhaustive enumeration over all 1,225 opponent combos × C(48,5) boards.

Win53.86%
Tie3.98%
Lose42.17%
Equity (win + tie/2)55.84%
Rank among 169 hands53 / 169
Boards enumerated2,097,572,400

Note: class-average values. Specific suit combinations (e.g. shared suits) shift the numbers by a few tenths of a percent.

Best 5 opponents / Worst 5 opponents

Best 5 opponentsK3o(76.04%)、32o(75.89%)、Q3o(75.64%)、J3o(75.26%)、93o(75.00%)
Worst 5 opponentsAA(7.22%)、AKs(25.21%)、AQs(25.74%)、AKo(26.42%)、AJs(26.66%)

FAQ

Is A3o a good starting hand?

A3o has 55.84% equity vs a random hand, ranking 53 of 169 starting hands (exact enumeration).

Which hands does A3o fear most?

Toughest opponents for A3o: AA (A3o equity 7.22%), AKs (A3o equity 25.21%), AQs (A3o equity 25.74%), AKo (A3o equity 26.42%), AJs (A3o equity 26.66%).

What does "vs random hand" mean?

The opponent holds any two of the remaining 50 cards with equal probability (1,225 combos); figures are the weighted exhaustive average over all of them.

Figures from app/data/matchup-matrix (exhaustive engine scripts/gen-matchup-matrix.mjs, cross-validated against lib/poker-equity.ts)

Cite this page: Pailiku, “A3o vs random hand equity”, pailiku.com/matchups/a3o-vs-random (2026).