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Ace-High Dry Flop: Exact Equities on A‑8‑3 Rainbow

On an ace-high dry flop such as A♦ 8♣ 3♥ rainbow, the hand ahead is usually far ahead. Top pair A♠T♠ keeps 76.4% to 96.1% against worse aces, smaller pairs, overcards and draws, and the best draw is a gutshot. On a wet ace-high board, top pair A♠K♣ falls to 43.2% against a flush draw with an open-ended straight draw.

King-seven on A‑8‑3

On the button with K♠7♠, you opened and the big blind called. The flop is A♦ 8♣ 3♥ and the big blind checks. Check back, bet small or bet big?

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Equity of K♠7♠ on A♦ 8♣ 3♥:

Big blind's handK♠7♠'s equity
6♣4♣70.9%
Q♦J♦69.1%
5♥5♦24.8%
9♦9♠12.7%
A♣2♣1.4%

K♠7♠ is ahead of most hands with no pair and loses badly to any pair. A small bet makes hands like Q♦J♦ and 6♣4♣ fold instead of realizing their equity, and risks little when an ace calls.

Top pair on A♦ 8♣ 3♥

Equity of A♠T♠ with the turn and river to come:

Opponent's handWhat it holdsA♠T♠'s equity
Q♠J♠two overcards to the eight96.1%
K♦Q♦two overcards to the eight92.8%
9♠9♦pocket pair below the ace91.2%
A♣5♣top pair, worse kicker78.6%
8♥7♥second pair77.2%
5♣4♣gutshot to the wheel, 4 outs76.4%
3♠3♦set of threes1.9%

Dry against wet: the same top pair

A♠K♣ on a dry ace-high flop and on a wet one:

Opponent's handA♦ 8♣ 3♥A♥ 8♥ 7♣
K♦Q♦93.6%98.1%
9♠6♠95.3%65.8%
6♥5♥89.6%43.2%
T♥9♥89.6%43.2%

On A♥ 8♥ 7♣, 6♥5♥ and T♥9♥ each have a flush draw and an open-ended straight draw, 15 outs. On A♦ 8♣ 3♥, the same hands have nothing to draw to beyond runner-runner.

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Sources

Frequently asked questions

What is an ace-high dry flop?

A flop with an ace and two unconnected cards of different suits, such as A♦ 8♣ 3♥. Few straight or flush draws are possible, so whoever is ahead usually stays ahead.

How strong is top pair on A-8-3 rainbow?

Very strong against weaker hands: A♠T♠ keeps 76.4% to 96.1% against worse aces, smaller pairs, overcards and draws. A set like 3♠3♦ leaves it at 1.9%.

What do hands without an ace have on an ace-high dry flop?

Little: K♠7♠ has 24.8% against 5♥5♦ and 12.7% against 9♦9♠. Against Q♦J♦, which has no pair either, it keeps 69.1%.

How we made this page

The spots come from our library of 647 puzzles. Their expected answers follow rules we wrote and explain on each puzzle; they are not solver outputs. 23 figures on this page are recomputed from the cards by our automated tests. Written with the help of AI tools, then reviewed and checked by our team.

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