Omaha OrchardLANTERN MIXED TABLES

LANTERN MIXED TABLES

Omaha Orchard

Four cards. A garden of possibilities.

Lars Rocha

♣

Sixteen pages of play, patterns,
worked hands, and discoveries.

A dedicated WSRF companion.
Your pace. Your possibilities.

Omaha OrchardDiscoveries

Discoveries

Your first invitation

Build combinations that work together. Explore suited connections, coordinated ranks, and the price of growing the pot.

Four private cards meet five community cards. Choose exactly two private cards and exactly three community cards for your five-card high hand. A pot-sized raise includes the call first, then a raise equal to the resulting pot.

Take your seat with Fern and familiar AI company. The room offers heads-up or six-seat play, automatic next hands, adjustable pace, practice peeks, a visible WSRF tree, a Monte Carlo playground, and a notebook that keeps your place. Choose Gentle company while learning the rhythm, then explore Seasoned or Sharp whenever you feel ready.

Start by naming the game and the legal five-card construction. Then count the players still active and read the amount needed to continue. Those small observations give the coach’s estimate a useful setting. The worked pages that follow preserve their cards, assumptions, and numerical receipts so you can explore the same question again.

Omaha OrchardDiscoveries

Discoveries

A rhythm you can follow

The room keeps the chip arithmetic close to the action.

At this tableHow it works
Starting stack2,000 free play chips at each seat
SeatsHeads-up or six seats
Blinds / antesSmall blind 10; big blind 20
BettingA slider and quick buttons stay inside the pot limit.
Street rhythmMinimum opening bet 20; each later raise follows the last full raise.
Limit capRaises continue within the pot and stack bounds.
Short all-insA full increment reopens raising under this room’s house rule.
Split-chip orderThe high half receives an odd split chip. Tied shares award odd chips clockwise from the stored button.

These are the room’s declared house settings. A short stack contributes its available chips, and side pots keep each contribution matched to the players eligible for it. A returned unmatched contribution stays separate from a contested pot. Opening the Coach or Options panel holds the action while you explore.

The maximum street total is the current bet plus the pot plus the amount needed to call, bounded by your stack. The Pot button displays that total, making the next move easy to review.

Omaha OrchardDiscoveries

Discoveries

See the five-card construction

The cards make the idea concrete.

A♥Q♥8♣9♦

The community board

K♥J♥T♥2♦3♠

Your four private cards offer six pairs to try. On the river, the five community cards offer ten three-card selections. The evaluator checks the sixty legal combinations, keeping the best result for the direction being compared. The illustration gives one concrete path through that menu.

Try covering the worked answer and pointing to the five chosen cards. Then name one different final card that would invite a new construction. A concrete card change is a useful way to connect imagination with the rules.

Omaha OrchardDiscoveries

Discoveries

A little map of possibility

One away, two away, three away—and a clear reference frame.

23456789TJQKA♣DISTANCE MAP

LIKELY · 9/13 near ranks

Moving references: 5 · 7 · T · 4

48 unseen cards.
Bucket counts: 14 / 19 / 8 / 7

Distance mean 1.17 · SD 1.01

The pocket map uses your first two dealt cards. In an Omaha hand these are an explicit pair of anchors inside the four-card pocket; the hand evaluator still explores all legal two-card choices. In a stud hand they are the first two private cards. The moving map uses the latest two community cards or your latest two exposed stud cards once they are available.

The map’s circular ranks run from 2=0 to A=12. The reference expressions use the two anchors, their sum modulo thirteen, and their absolute difference. Near means distance zero or one. Seven or more near ranks gives LIKELY; six or fewer gives UNLIKELY. Both labels receive balanced examples in each newly trained model.

Known-card counts include your own cards and every publicly exposed card, including cards shown by a folded stud opponent. That keeps the remaining physical-card counts connected to what you can actually observe. The game-specific hand ranking and the map each describe their own part of the hand.

Omaha OrchardDiscoveries

Discoveries

A few habits worth keeping

Let the game’s special character guide your attention.

Six pairs inside four cards

Four private cards contain six different two-card pairs. Lay those pairs out mentally before choosing a favorite. A suited pair can carry one possibility, while a connected pair carries another. Their relationships become especially interesting when the same board supports several combinations at once. The first useful skill is seeing that menu clearly.

Follow the whole construction

A draw becomes easier to read when you name both its private pair and the three board cards it hopes to use. Start with a concrete construction: these two cards, these three places on the board. Then explore nearby turn and river cards. This habit turns a visually crowded four-card hand into several manageable five-card plans.

Let the pot size tell a story

The Pot button is a calculation you can inspect. If a player bets 100 into a pot of 100, the pot becomes 200. The next player can call 100, making 300, and add a raise of 300. Their total street contribution can therefore reach 400. The interface handles that arithmetic while you decide which possibility deserves the chips.

Enjoy redraws as another route

A strong current hand may also have ways to improve. Picture a made straight with an additional suit connection, or a set with a board-pairing route to a full house. Your coach’s showdown share combines possible endings under its stated sampling model. The interesting question is which visible features help the hand stay strong across those endings.

Omaha OrchardWorked hands

Worked hands

Worked hand 1 · PLO

Follow the cards, then discover the estimate.

YOUR CARDS
5♣7♣A♣3♦
COMMUNITY BOARD

The flop is ahead.

StreetOpponentsPotCallMade hand
preflop13010High card
A view of the spotValue
Moving rank zoneLIKELY · 9/13
WSRF pot share49.4%
Monte Carlo share47.2%
95% sampling interval45.7% – 48.8%
Whole-pot frequency46.4%
Sample count4,096
ActionPolicy score
Call 100.014
Fold0.000
Raise to 40-0.236
Raise to 60-0.256

This independently generated teaching hand preserves your own cards and every exposed card, then samples the remaining cards uniformly. Fractional ties and split pots contribute the share actually earned. The interval describes sampling uncertainty under that model; the forest’s estimate is a separate learned prediction.

Compare the action scores with the call price and the active field. They express the explicit betting policy’s use of the learned share, rather than a fitted chip-return forecast. Opening a tree lets you follow the card features that helped produce the share estimate.

Study fixture plo-1 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.

Omaha OrchardWorked hands

Worked hands

Worked hand 2 · PLO

Follow the cards, then discover the estimate.

YOUR CARDS
2♥K♥J♣3♣
COMMUNITY BOARD
9♠8♠4♥
StreetOpponentsPotCallMade hand
flop514020High card
A view of the spotValue
Moving rank zoneLIKELY · 9/13
WSRF pot share16.7%
Monte Carlo share5.3%
95% sampling interval4.6% – 6.0%
Whole-pot frequency5.1%
Sample count4,096
ActionPolicy score
Call 200.017
Fold0.000
Raise to 40-0.462
Raise to 100-0.497
Raise to 180-0.517

This independently generated teaching hand preserves your own cards and every exposed card, then samples the remaining cards uniformly. Fractional ties and split pots contribute the share actually earned. The interval describes sampling uncertainty under that model; the forest’s estimate is a separate learned prediction.

Compare the action scores with the call price and the active field. They express the explicit betting policy’s use of the learned share, rather than a fitted chip-return forecast. Opening a tree lets you follow the card features that helped produce the share estimate.

Study fixture plo-2 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.

Omaha OrchardWorked hands

Worked hands

Worked hand 3 · PLO

Follow the cards, then discover the estimate.

YOUR CARDS
6♦7♥A♣2♣
COMMUNITY BOARD
J♦6♠K♣6♣
StreetOpponentsPotCallMade hand
turn1400Three of a kind
A view of the spotValue
Moving rank zoneLIKELY · 11/13
WSRF pot share64.3%
Monte Carlo share86.5%
95% sampling interval85.4% – 87.5%
Whole-pot frequency86.1%
Sample count4,096
ActionPolicy score
Check0.005
Bet 20-0.019
Bet 40-0.039

This independently generated teaching hand preserves your own cards and every exposed card, then samples the remaining cards uniformly. Fractional ties and split pots contribute the share actually earned. The interval describes sampling uncertainty under that model; the forest’s estimate is a separate learned prediction.

Compare the action scores with the call price and the active field. They express the explicit betting policy’s use of the learned share, rather than a fitted chip-return forecast. Opening a tree lets you follow the card features that helped produce the share estimate.

Study fixture plo-3 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.

Omaha OrchardWorked hands

Worked hands

Worked hand 4 · PLO

Follow the cards, then discover the estimate.

YOUR CARDS
4♣J♠6♥5♦
COMMUNITY BOARD
J♥A♠6♠7♠K♣
StreetOpponentsPotCallMade hand
river514020Two pair
A view of the spotValue
Moving rank zoneLIKELY · 9/13
WSRF pot share9.1%
Monte Carlo share1.2%
95% sampling interval0.9% – 1.6%
Whole-pot frequency1.2%
Sample count4,096
ActionPolicy score
Fold0.000
Call 20-0.059
Raise to 40-0.560
Raise to 100-0.604
Raise to 180-0.624

This independently generated teaching hand preserves your own cards and every exposed card, then samples the remaining cards uniformly. Fractional ties and split pots contribute the share actually earned. The interval describes sampling uncertainty under that model; the forest’s estimate is a separate learned prediction.

Compare the action scores with the call price and the active field. They express the explicit betting policy’s use of the learned share, rather than a fitted chip-return forecast. Opening a tree lets you follow the card features that helped produce the share estimate.

Study fixture plo-4 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.

Omaha OrchardWorked hands

Worked hands

Worked hand 5 · PLO

Follow the cards, then discover the estimate.

YOUR CARDS
T♠3♠7♥6♠
COMMUNITY BOARD

The flop is ahead.

StreetOpponentsPotCallMade hand
preflop13010High card
A view of the spotValue
Moving rank zoneLIKELY · 8/13
WSRF pot share43.7%
Monte Carlo share43.9%
95% sampling interval42.4% – 45.4%
Whole-pot frequency42.9%
Sample count4,096
ActionPolicy score
Fold0.000
Call 10-0.043
Raise to 40-0.316
Raise to 60-0.336

This independently generated teaching hand preserves your own cards and every exposed card, then samples the remaining cards uniformly. Fractional ties and split pots contribute the share actually earned. The interval describes sampling uncertainty under that model; the forest’s estimate is a separate learned prediction.

Compare the action scores with the call price and the active field. They express the explicit betting policy’s use of the learned share, rather than a fitted chip-return forecast. Opening a tree lets you follow the card features that helped produce the share estimate.

Study fixture plo-5 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.

Omaha OrchardWorked hands

Worked hands

Worked hand 6 · PLO

Follow the cards, then discover the estimate.

YOUR CARDS
T♦3♣7♣5♠
COMMUNITY BOARD
9♥3♥J♣
StreetOpponentsPotCallMade hand
flop514020One pair
A view of the spotValue
Moving rank zoneLIKELY · 8/13
WSRF pot share13.5%
Monte Carlo share11.6%
95% sampling interval10.6% – 12.5%
Whole-pot frequency10.4%
Sample count4,096
ActionPolicy score
Fold0.000
Call 20-0.015
Raise to 40-0.506
Raise to 100-0.542
Raise to 180-0.562

This independently generated teaching hand preserves your own cards and every exposed card, then samples the remaining cards uniformly. Fractional ties and split pots contribute the share actually earned. The interval describes sampling uncertainty under that model; the forest’s estimate is a separate learned prediction.

Compare the action scores with the call price and the active field. They express the explicit betting policy’s use of the learned share, rather than a fitted chip-return forecast. Opening a tree lets you follow the card features that helped produce the share estimate.

Study fixture plo-6 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.

Omaha OrchardPractice

Practice

Six discoveries to keep

Affirmative questions, with the reason beside each answer.

Omaha OrchardTraining

Training

Meet your new forest

Actual pytoolzx / WSRF fitting, with the measured results beside it.

GameSelected fitPositionsTraining showdownsTest MAE
PLOfull6,144786,4326.12 pp

Each game receives 6,144 training positions, with 128 independently sampled showdowns at every position. Six equally represented pools combine opening, middle, and closing play with LIKELY and UNLIKELY moving-map labels. Private and public suit counts, exposed-board strength, and rank geometry give the forest a richer view. The fitted object is pytoolzx.wsrf.WSRFRegressor, and pytoolzx.indexrng.Index supplies independently named seed streams.

Compact and full forests are compared on 768 validation positions. The smaller validation error chooses the serving forest before a fresh 1,536-position test is evaluated. Validation labels use 384 samples; test labels use 512. MAE is the average absolute difference in estimated pot share, expressed here in percentage points.

Game / seats / practice styleHandsBB / 100Approx. 95% interval
PLO / 2 / calling51230.120.9 to 39.3
PLO / 2 / random51273.0-19.5 to 165.6
PLO / 2 / selective51235.120.2 to 49.9
PLO / 6 / calling1,53663.351.3 to 75.4
PLO / 6 / random1,536-24.8-69.7 to 20.2
PLO / 6 / selective1,53652.8-6.4 to 112.1

The complete-hand benchmark rotates the trained policy through every seat of each fresh deck. Its intervals use deck averages to respect the relationship between seat rotations. These named local practice styles define the scope of the measurements. The full receipt preserves every game, table size, and opponent row.

Omaha OrchardPractice

Practice

Make the table your own

A practice path you can enjoy returning to.

Begin with a comfortable rhythm

Choose Gentle company and a relaxed pace. Leave automatic next hands enabled if you enjoy a continuous session, or choose each new hand yourself. The panel controls hold your exact place whenever you open an explanation.

Give one hand a question

Choose a question you can inspect: can this card complete the construction, can this price be expressed as a pot share, or can the tree show which input it used? The worked answer becomes useful when you can point to its reason on the table.

Explore with a practice peek

A peek makes the opposing cards visible for your exercise. The model continues to use its own cards and public observations, so its estimate stays comparable before and after your peek. The notebook marks that hand as practice and preserves the result.

Let the forest take a turn

The WSRF partner option lets the trained adviser play your seat using the explicit betting policy. Pause on a street that interests you and open the tree. Watch mode is a way to explore the model’s choices; your own chair is ready whenever you switch back.

Keep a story to return to

Download a notebook from Options. It includes the deal and action sequence needed for exact replay, along with stacks, funding, completed hands, and HUD totals. Restore it in the same game and table size. A saved story can make the next visit feel like a continuation.

Omaha OrchardReference

Reference

Your pocket reference

Useful terms and a path to the underlying work.

TermMeaning at these tables
Pot shareThe fraction of a contested pot earned, including splits
ScoopThe whole contested pot comes to one player
Bring-inThe opening stud contribution selected by the door-card rule
CompletionBringing an opening stud contribution to the full small bet
Exposed cardsCards visible to everyone, retained as known cards
WSRF poolOne of six opening/middle/closing × LIKELY/UNLIKELY groups
Policy scoreThe explicit action comparison built around the learned equity
NotebookYour local saved deal, actions, stacks, and history

VPIP counts voluntary entries on the opening street; OR counts opening raises or completions. AF divides bets plus raises by calls. WTSD counts showdowns among hands reaching the first draw street. WSD counts showdowns winning any contested pot, including ties. Read each percentage together with its completed-hand sample count.

Explore the background for this variant in Wikipedia’s pot-limit omaha overview. The room’s specific stakes, cap, reopening, and odd-chip conventions are declared on page 3. The examples, exercises, UI, and training experiment in this guide are original to Lantern Poker.

Explore the worked-hand receipt, complete-hand match table, and training and reproduction notes. Return to the Omaha Orchard table whenever you are ready.