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Straight 35:1 Against the Chance of 1 in 37
A single number bet in European Roulette, offering a payout of 35:1, covers one specific sector out of 37 available on the wheel. This bet structure results in a house edge of 2.70%, calculated from the difference between the actual odds of winning (1 in 37) and the payout ratio.
This contrasts with American Roulette's Five Number Bet, which has a significantly higher house edge of 7.89% due to the presence of both a single zero and a double zero. The 35:1 payout for a straight bet in European Roulette is consistent across all number bets, including odd/even or red/black.
For players, this means that over an extended period of play, approximately 2.70% of their total wagers on European Roulette are expected to be retained by the casino. This figure remains constant regardless of the type of bet placed on the standard European wheel.
Declining Insurance: The Most Common Blackjack Mistake
Blackjack Insurance is a side bet offered when the dealer's upcard is an Ace, allowing players to wager up to 50% of their main bet on the dealer having a blackjack. This bet pays at 2:1, but carries a substantial house edge of 7.47% for games using 6-8 decks.
For optimal strategy players, the only scenario where taking insurance might be considered is when card counting indicates a true count of +3 or higher, significantly altering the odds in the player's favour. In all other situations, basic strategy dictates that insurance should always be declined.
Consistently declining this side bet, as recommended by basic strategy, protects the player's bankroll from a statistically disadvantageous wager. This avoidance of insurance contributes to the overall lower house edge of 0.46% for the main Blackjack game when played with 6 decks, S17, DAS, DOA, and 3:2 payouts.
Craps: Pass Line plus Odds lowers the average
The Don't Pass (and Don't Come) bet in Craps offers a player RTP of 98.64%, resulting in a house advantage of 1.36%. This bet is statistically more favourable than the standard Pass Line bet because a roll of 7 results in a win, while a roll of 12 typically results in a push.
When players combine the Pass Line bet with the 'Odds' bet, the overall house edge can be significantly reduced. The Odds bet itself carries no house edge, as it pays out at true odds based on the probability of the point being rolled again before a 7.
This strategic approach of adding Odds to a Pass Line bet can lower the effective house edge to below 1.36% for the combined wager. The standard deviation for the Don't Pass bet is 0.99 per roll, indicating a relatively low volatility compared to other casino games.
How Much Does One Mistake Cost in 100 Hands?
In Blackjack with 6 decks, S17, DAS, DOA, and a 3:2 payout, the house edge is a mere 0.46% when played with perfect basic strategy. However, deviating from this strategy, even with a single incorrect decision, can substantially increase the casino's advantage.
For instance, misplaying a hand that should be doubled down, or incorrectly splitting pairs, can lead to an increase in the house edge. A single such strategic error in a game with a low inherent edge can represent a significant percentage loss over a number of hands.
In a game with a 0.46% house edge, a single misplay in 100 hands can effectively push the house advantage closer to the figures seen in games with higher inherent edges, such as American Roulette's Five Number Bet at 7.89%. This highlights the importance of adherence to basic strategy.
Straight 35:1 Instead of 36:1: Where House Edge Originates
The fundamental origin of the house edge in games like Roulette lies in the payout structure deviating from the true mathematical odds. In European Roulette, a straight bet on a single number pays 35:1, but the actual odds of hitting that number are 36:1 (considering the 37 sectors).
This discrepancy, where the casino pays out less than the true odds, creates the house advantage. For European Roulette, this results in a consistent 2.70% house edge on all bets, including even-money bets like red/black or odd/even, when the zero is not covered by La Partage or En Prison rules.
In contrast, the Five Number Bet on American Roulette, covering five sectors (0, 00, 1, 2, 3) out of 38, pays 6:1. The mathematical odds are 38 to 5, or 7.6:1. This unfavourable payout ratio for the player is the direct cause of its high 7.89% house edge.
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Straight, Split, and Corner: Three Terms Briefly Explained
A 'Straight' bet in European Roulette covers a single number, such as 17, and offers a payout of 35:1. This type of bet is available across all 37 sectors of the wheel, which includes numbers 1 through 36 plus a single zero. The constant house edge on all bets means this payout structure applies uniformly, regardless of the specific number chosen.
The 'Split' bet allows a player to wager on the line between two adjacent numbers, for example, 17 and 18, with a payout of 17:1. This bet also benefits from the consistent edge of European Roulette, where all wagers are subject to the same mathematical framework. Understanding these fundamental bet types is crucial for navigating the game's probabilities.
A 'Corner' bet, also known as a 'Square' bet, is placed on the intersection of four numbers, such as 17, 18, 20, and 21, and pays out at 8:1. Like other inside bets on the European Roulette wheel, the house advantage remains constant at 2.70% for this wager. These inside bets form the core of strategic betting on the roulette table.
Three Roulette Variants, Three House Edges Compared
European Roulette, with its single zero and 37 sectors, presents a house edge of 2.70%, corresponding to an RTP of 97.30%. This consistent edge applies to all betting categories, from simple even-money wagers to more complex inside bets. The payout structure, such as 35:1 for a straight-up number, is designed to maintain this statistical advantage over the long run.
French Roulette, when 'La Partage' does not apply to inner bets, mirrors the European version with a 2.70% house edge and an RTP of 97.30%. The wheel configuration is identical, featuring 37 sectors. However, the absence of 'La Partage' or 'En Prison' rules for these specific wagers means the house advantage remains at the standard European level for straight, split, and corner bets.
American Roulette's 'Five Number Bet' (covering 0, 00, 1, 2, 3) stands out with a significantly higher house edge of 7.89%, translating to an RTP of only 92.11%. This bet is unique to the American wheel, which has 38 sectors including both a single and double zero. The payout for this specific wager is 6:1, covering five out of the 38 available sectors.
Push in Blackjack: the bet returns
In certain Blackjack scenarios, a 'Push' occurs when the player's hand total equals the dealer's hand total, resulting in the player's bet being returned. This outcome is neutral, meaning neither the player nor the dealer wins or loses the stake. Understanding when a push is possible is key to managing your bankroll effectively during gameplay.
For instance, if a player and the dealer both achieve a hand totalling 17, this results in a push, and the wager is neither won nor lost. This is a common outcome in Blackjack, particularly when the dealer's upcard is not strong and both players' hands reach moderate totals. The bet simply remains on the table for the subsequent round.
The 'Don't Pass' bet in Craps offers a push scenario when a 12 is rolled. While typically a 'Don't Pass' bet wins if a 7 is rolled before the point and loses if the point is rolled, a 12 acts as a 'bar' or push, returning the original bet. This specific rule slightly improves the bet's RTP to 98.64% compared to other bets on the Craps table.
Blackjack flow: cards, decision, payout 3:2
In a standard game of Blackjack with 6 decks, where the dealer stands on Soft 17, and doubling down is permitted on any two cards, a natural Blackjack pays out at 3:2. This premium payout is awarded when a player's initial two cards total 21 (an Ace and a ten-value card). This specific payout significantly influences the game's overall RTP, which stands at 99.54% when basic strategy is employed.
The flow of a Blackjack hand involves receiving initial cards, making strategic decisions such as hitting, standing, splitting, or doubling down, and then comparing the final hand to the dealer's. The RTP of 99.54% for this variant assumes optimal play using basic strategy, ensuring the house edge is minimized to just 0.46%. This makes it one of the most favourable casino games available.
Following a winning hand where the player does not achieve a Blackjack, the payout is typically 1:1. However, the lucrative 3:2 payout for a natural Blackjack is crucial for maintaining the high RTP of 99.54% in this specific Blackjack variant. This variant allows doubling down after splitting and even doubling down on any two cards, further enhancing player options.
House Edge and RTP: Two Names for the Same Number
The House Edge represents the casino's average profit from each bet placed, expressed as a percentage of the total wagered amount. For European Roulette, this figure is consistently 2.70%, meaning that, on average, the casino retains £2.70 for every £100 wagered over an extended period. This figure is fundamental to the casino's business model.
Return to Player (RTP) is the inverse of the house edge, indicating the theoretical percentage of all wagered money that a casino game will pay back to players over time. In European Roulette, an RTP of 97.30% is observed, which is directly calculated from the 2.70% house edge (100% - 2.70% = 97.30%). This metric is a key indicator of game fairness.
For Video Poker Deuces Wild—Full Pay, the house advantage is reported as a negative 0.76%, signifying a positive expected value (EV) for the player. This translates to an RTP of 100.76%, an exceptional figure where the player theoretically gains an advantage under optimal conditions and with maximum bets. This means the theoretical payout is greater than the stake.
9/6 table: nine for Full House, six for Flush
The Jacks or Better 8/5 video poker variant, characterized by a 9 for a Full House and a 6 for a Flush, presents a house edge of 2.71%. This specific paytable, with RTP 97.29%, represents a reduction of only two payout units compared to a 9/6 version. Such a minor alteration significantly impacts the player's theoretical return.
Compared to a 9/6 Jacks or Better machine which offers a 98.45% RTP, the 8/5 variation is noticeably lower. The 8/5 table's RTP of 97.29% translates to a theoretical long-term average retention by the casino. For players aiming for optimal returns, understanding these paytable nuances is critical for selecting the most advantageous game.
This specific paytable configuration means that for every 100 EUR wagered over an extended period, theoretically 97.29 EUR would be returned to the player. This RTP figure of 97.29% is a direct result of the payout structure for the Full House and Flush hands. Players should seek out tables with higher RTP percentages where possible.
Bankroll for 200 Rounds at 1 EUR
A bankroll of 200 EUR is sufficient for 200 rounds of play at a stake of 1 EUR per round. This calculation is straightforward: 200 rounds multiplied by 1 EUR per round equals 200 EUR. This provides a baseline for managing funds during a gaming session.
For games like French Roulette with La Partage, where the house edge on even money bets is 1.35%, the expected loss over 200 rounds at 1 EUR per spin would be approximately 2.70 EUR. This figure is derived from 200 rounds x 1 EUR x 0.0135 house edge. The La Partage rule mitigates losses on zero outcomes.
In contrast, playing American Roulette with its higher house edge of 7.89% on the Five Number Bet would result in an expected loss of 15.78 EUR over the same 200 rounds. This is calculated as 200 rounds x 1 EUR x 0.0789. The significant difference in house edge directly impacts the longevity of a bankroll.
Double Down: Doubling Your Bet After Two Cards
The Double Down option in Blackjack, available after receiving the initial two cards, allows a player to double their bet. This strategic move is typically employed when the player's hand total is strong, and they believe the dealer's hand is weaker. The payout for a successful Double Down is double the initial bet.
In Blackjack Surrender (Late Surrender), a player has the option to forfeit half their bet after the dealer checks for blackjack. This rule modification improves the Return To Player (RTP) by approximately 0.08 percentage points. The house edge is therefore adjusted based on the availability of this option.
Certain Blackjack variations, such as the Six Deck Blackjack with specific rules including Double Down on any two cards, offer a house edge of only 0.46%. This low house edge is achieved through a combination of favourable rules, including the allowance to double down after splitting. The RTP for this game is 99.54%.
Plein Pays 35:1, Cheval Pays 17:1
In European Roulette, a 'Straight' bet, also known as a 'Plein' bet, which is a wager on a single number, pays 35 to 1. This payout is consistent across all 37 sectors of the wheel, including the single zero. The house edge for all European Roulette bets is 2.70%.
A 'Split' bet in European Roulette, wagering on two adjacent numbers, offers a payout of 17 to 1. This is referred to as a 'Cheval' bet. Despite the lower payout compared to a straight bet, the house edge remains a constant 2.70% for all standard inside and outside bets on the European wheel.
These payout ratios, 35:1 for Straight and 17:1 for Split, are fundamental to the structure of European Roulette. The house edge of 2.70% is maintained by these fixed odds, which do not change regardless of the type of inside bet placed. French Roulette with La Partage offers a different edge on even-money bets.
Multihand Blackjack with Up to 5 Hands
Multihand Blackjack allows players to participate with multiple hands simultaneously, up to a maximum of five hands. This format significantly increases the number of decisions a player makes per betting interval. Each hand is played independently according to standard Blackjack rules.
In a six-deck Blackjack game with standard rules and the ability to play up to five hands, the house edge is 0.46% when basic strategy is employed. The RTP for this configuration is 99.54%. The availability of options like Double Down after Split and Dealer stands on Soft 17 contribute to this favourable edge.
The RTP for Blackjack Insurance, a side bet offered when the dealer shows an Ace, is considerably lower at 92.53%, resulting in a house edge of 7.47%. This side bet, which can be up to 50% of the main bet, is generally advised against by basic strategy, especially in multihand scenarios.
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