Play the hand the maths calls for.

Strategy guides

Every line, derived

Each guide states its rule set, shows the decision and explains why it is correct.

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  Splitting Pairs in Six Deck S17 Blackjack: Every Pair's Line, the 8,8 Against 10 Arithmetic and What Losing DAS Changes

  With six decks, the dealer standing on soft 17 and doubling allowed after a split, the correct pair splitting play fits in eight lines. Always split aces and eights. Never split fives or tens. Split nines against 2 to 9 except 7. Split twos, threes and sevens against 2 to 7, sixes against 2 to 6, and fours only against 5 and 6. The rest of this article derives each line and prices the close calls. Rule assumptions Six decks. The dealer checks for blackjack when showing an ace or a ten value card, so every figure below assumes the dealer does not have blackjack. Dealer stands on soft 17. Doubling is allowed on any first two cards, including after a split (DAS). Split aces receive one card each. No surrender. Resplitting is left out of the figures, which treat every split as a single split. Blackjack pays 3 to 2. Change any of these and parts of the chart change. The section on DAS shows the bigg…

  Blackjack StrategyExpected Value ExplainedPair SplittingRule Variants
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  Jacks or Better 9/6 Strategy: a 21 Line Hold Order, the 0.46% Edge and Why Four to a Flush Beats a Low Pair

  On a full pay 9/6 Jacks or Better machine, perfect strategy returns 99.54% of money wagered, a house edge of 0.46%. Reaching that figure depends on two things: playing the five coin maximum, and holding cards in the fixed priority order below. The order matters most on a handful of hands where the intuitive hold is wrong, and those are worked through in the derivation. Rule assumptions Rule Setting Game Jacks or Better, single hand, 52 card deck, no wild cards Paytable 9/6 (full house 9, flush 6, per coin) Royal flush 800 per coin at five coins (4,000 total) Coins played Five Draw One draw from the 47 unseen cards Every figure below assumes this exact paytable. A machine paying 8 for a full house and 5 for a flush is a different game with a different chart and a lower return. The paytable and where the return comes from The table lists each hand's payout per coin, its frequency under optimal play, …

  Expected Value ExplainedJacks or BetterPaytablesVideo Poker Strategy
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  Late Surrender in Blackjack: The Four Hands Worth Giving Up, and Why Each One Qualifies

  Under standard six deck rules with the dealer standing on soft 17, late surrender is correct on exactly four two card situations: hard 16 against a dealer 9, 10 or Ace, and hard 15 against a dealer 10. Every other hand should be played out. Used correctly, the option reduces the house edge by roughly 0.08%. The derivation below shows why these four hands qualify and why hands that look similar do not. Rule assumptions Rule Setting Decks 6 (figures computed on an infinite deck model, see method) Dealer soft 17 Stands Hole card Dealer peeks for blackjack with Ace or 10 showing Surrender Late, first two cards only, after the peek Double Any first two cards, double after split allowed Split Once; split Aces receive one card Blackjack pays 3:2 The chart Player hand Dealer 9 Dealer 10 Dealer A Hard 16 (not 8,8) Surrender Surrender Surrender Hard 15 Hit Surrender Hit 8,8 Split Split Split Against any dealer upcard from 2 to 8, …

  Blackjack StrategyExpected Value ExplainedLate SurrenderRule Variants
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  Why Slots Have No Strategy, and What Actually Changes the Numbers

  Slot machines have no correct play, no chart, and no decision that changes the expected value of the next spin, and that is a mathematical fact about how the game is built, not an opinion about betting systems. Every spin is an independent trial drawn from a fixed probability distribution, and nothing a player does before, during or after a spin moves that distribution. Rule Assumptions This article assumes a certified, RNG-driven slot machine of the kind covered elsewhere on this site, licensed and tested under a recognised regime such as the Malta Gaming Authority's framework. It does not cover mechanical or electromechanical machines with physical, non-random components, which are not the subject here, and it does not cover any game where an outcome depends on prior outcomes, which is the entire distinction this article turns on. Why Blackjack Has Strategy and Slots Don't Blackja…

  Bankroll ManagementHouse EdgeRNG IndependenceWhy Slots Have No Strategy
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  Blackjack Basic Strategy for 6-Deck, Dealer Stands on Soft 17: The Complete Chart and Why Each Play Is Correct

  Basic strategy is the mathematically derived, single correct play for every hand a blackjack player can be dealt, computed against a specific rule set rather than guessed at. Under 6-deck, dealer-stands-on-soft-17 rules with doubling after split allowed, perfect basic strategy play reduces the house edge to approximately 0.5%, the lowest edge achievable without deviating into card counting. It does not produce a positive expectation. It minimises a negative one. Rule Assumptions The chart below assumes a specific rule set, and a chart built for different rules produces different correct plays in places. These are the assumptions: 6 decks in play Dealer stands on soft 17 (S17) Double after split allowed (DAS) Doubling permitted on any first two cards No surrender option assumed A game with dealer hits soft 17 (H17), a different deck count, or no doubling after split will shift several cells in t…

  Blackjack Strategy