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Strategy & rules lab

Right play. Right rules.

Strategy is conditional. Select the table rules first, then use the chart that actually applies.

Choose a game

Strategy library

Jump to a decision chart, bet comparison, or configuration checklist. Games without a playing decision are labeled clearly.

Rule-specific library

Choose the matching blackjack chart.

The interactive chart below covers common 4–8 deck peek games. Dedicated total-dependent pages cover six-deck, double-deck, single-deck 3:2, and European no-hole-card profiles.

6D S176D H172D S172D H171D 3:2ENHC
Blackjack basic strategy

Multi-deck blackjack

These charts maximize expected value for a 4–8 deck game with dealer peek. Blackjack pays 3:2. Splitting aces receives one card. No re-splitting aces is assumed.

Common multi-deck variants:
H HitS StandD DoubleDs Double; otherwise standP SplitRh Surrender; otherwise hitRs Surrender; otherwise standRp Surrender; otherwise split

Hard totals

Player2345678910A
8 or lessHHHHHHHHHH
9HDDDDHHHHH
10DDDDDDDDHH
11DDDDDDDDDH
12HHSSSHHHHH
13SSSSSHHHHH
14SSSSSHHHHH
15SSSSSHHHRhH
16SSSSSHHRhRhRh
17SSSSSSSSSS
18+SSSSSSSSSS

Soft totals

Player2345678910A
A,2HHHDDHHHHH
A,3HHHDDHHHHH
A,4HHDDDHHHHH
A,5HHDDDHHHHH
A,6HDDDDHHHHH
A,7SDsDsDsDsSSHHH
A,8SSSSSSSSSS
A,9SSSSSSSSSS

Pairs

Player2345678910A
2,2PPPPPPHHHH
3,3PPPPPPHHHH
4,4HHHPPHHHHH
5,5DDDDDDDDHH
6,6PPPPPHHHHH
7,7PPPPPPHHHH
8,8PPPPPPPPPP
9,9PPPPPSPPSS
10,10SSSSSSSSSS
A,APPPPPPPPPP

Underlying math

For each state, the recommended action is the legal action with the highest conditional expected value: EV(action | player cards, dealer upcard, rules). Dealer completion probabilities and player draw outcomes are evaluated over the remaining-card distribution. Composition-dependent exceptions can occur; this is total-dependent basic strategy.

Chart scope: These are 4–8 deck, dealer-peek, 3:2 charts. Do not use them for 6:5 blackjack, European no-hole-card games, Spanish 21, Blackjack Switch, or other variants with materially different rules.
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Ultimate Texas Hold’em

Decision strategy by street

The strength of the hand is only half the decision. The permitted multiplier shrinks from 4× preflop to 2× on the flop and 1× on the river.

Lower card →
High2345678910JQK
AYYYYYYYYYYYY
KSSSYYYYYYYY
QNNNNSSYYYN
JNNNNNNSSY
10NNNNNNNN
9NNNNNNN
8NNNNNN
7NNNNN
6NNNN
5NNN
4NN
3N
Y Always raise 4×S Raise 4× if suitedN Check

Pairs: raise 3-3 or higher; check 2-2. “Suited” means both hole cards share a suit.

2× · Flop

Raise with

  • Two pair or better
  • A hidden pair, except pocket deuces
  • Four to a flush with a ten-or-higher hole card

Otherwise check and retain the 1× river option.

1× · River

Raise with

  • A hidden pair or better
  • Or fewer than 21 remaining dealer outs that beat your hand

A hidden pair uses at least one hole card. Otherwise fold once the simplified dealer-out count reaches 21.

Why the thresholds work

The decision compares the incremental EV of betting with checking or folding across all compatible dealer hole cards and remaining community cards. The 4× chart is a compact near-optimal boundary; the river dealer-out test preserves card-removal information that a simple hand-rank chart loses.

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Three Card Poker

The Q-6-4 decision line

For the standard Ante/Play game, make the Play wager with Q-6-4 or better. Fold anything lower.

Always playPair or better · any K-high · any A-high · Q-7-x+
BoundaryPlay Q-6-4 or better
FoldQ-6-3 or lower · Q-5-x and below

Underlying math

The threshold comes from enumerating possible dealer three-card hands after removing the player’s cards, applying the dealer qualification rule, and comparing the EV of making the Play bet with the certain loss from folding. Pair Plus is resolved independently and does not change the Ante/Play decision.

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Baccarat

Choose the wager—not a pattern

Cards are drawn by fixed rules. The meaningful decision is which wager to make under the posted commission and payout rules.

Standard eight-deck wagerHouse edgePractical reading
Banker · 5% commission1.058%Best standard main wager
Player1.235%Simple, slightly more expensive
Tie · pays 8:114.359%Avoid at the standard payout
Tie · pays 9:14.844%Improved, but still costly
No trend strategy: scoreboards, streaks, and squeeze play do not change the next wager’s probability. Commission-free variants need their own calculation.
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Craps

Build from the lower-cost bets

Craps strategy is wager selection. Odds have no built-in edge, but they are available only after an eligible line bet.

WagerHouse edgeUse
Odds behind Pass/Come0%Add-on after the line bet
Don’t Pass / Don’t Come1.364%Lower-edge base wager; 12 pushes
Pass / Come1.414%Straightforward base wager
Place 6 or 81.515%Reasonable direct number bet
Any 716.667%High-cost proposition wager

Field, place, buy, lay, and proposition payouts vary. Check the layout before using any published edge.

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Roulette

Choose the wheel first

On a standard wheel, changing the betting pattern does not change the edge. The zeros and special even-money rules do.

Best listed optionSingle zero + la partage
1.35% on even-money bets
Standard single zero2.70% on standard wagers
Double zero5.26% on standard wagers
Triple zero7.69% on standard wagers
Avoid the American five-number bet: 0-00-1-2-3 carries a 7.89% edge—higher than the other standard double-zero wagers.
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Video Poker

9/6 Jacks or Better hold order

Use this compact hierarchy only for the stated pay table. Bonus variants, wild-card games, and altered full-house or flush payouts require different charts.

  1. Made premium handRoyal flush, straight flush, four of a kind
  2. Four to a royalBreak lesser made hands when the hierarchy requires it
  3. Made paying handFull house, flush, straight, three of a kind
  4. Four to a straight flushThen two pair and a high pair
  5. Drawing groupsThree to a royal, four to a flush, low pair, outside straight
  6. High cardsTwo suited, then eligible unsuited, then one high card
  7. No listed holdDiscard all five
Accuracy note: this is a condensed hierarchy. Close decisions can depend on penalty cards; consult the full guide before treating it as an exact chart.
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Slots

No hand chart—use a configuration check

Once a spin is placed, there is normally no playing decision. The useful strategy is verifying the product and controlling total action.

01 · Exact return

Find the configuration

Use the help screen, regulator filing, or supplier material tied to the machine, denomination, and enabled features.

02 · Bet conditions

Check eligibility

Confirm whether jackpot, bonus, or top-prize eligibility requires a particular bet level.

03 · Volatility

Separate it from RTP

Equal theoretical returns can produce very different short-term swings and bankroll demands.

04 · Total action

Control pace and spend

Autoplay, multiple lines, rapid spins, and bonus buys can increase exposure quickly.

No betting system changes slot RTP. If the exact configuration is not published, do not substitute a title-wide estimate.
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Expanded game library

Strategy sections for every supported game.

These games use pay-table, hand-setting, withdrawal, or tie-decision strategies rather than one universal chart.

Bonus-aware blackjack strategy

Spanish 21

Confirm decks, H17/S17, redoubling, surrender and the complete bonus schedule.

Open strategy and math →
Free-action and Push 22 strategy

Free Bet Blackjack

Use a dedicated chart; ordinary blackjack decisions do not transfer unchanged.

Open strategy and math →
Two-hand setting strategy

Pai Gow Poker

Build a valid low hand while preserving high-hand strength under the house way and copy rule.

Open strategy and math →
Tie-decision strategy

Casino War

Compare surrender with going to war under the exact tie settlement and bonus rule.

Open strategy and math →
Three-street raise strategy

Mississippi Stud

Use pay-table-specific 1×, 3× and fold thresholds as community cards arrive.

Open strategy and math →
Two withdrawal decisions

Let It Ride

Remove or retain each optional unit using the exact five-card pay schedule.

Open strategy and math →
Fold-or-raise strategy

Caribbean Stud

Base the two-unit raise on the player hand, dealer upcard and qualification rule.

Open strategy and math →
Flush-length raise strategy

High Card Flush

Use dealer qualification and allowed raise multiples tied to the seven-card flush rank.

Open strategy and math →