Wizard Of Odds Blackjack House Edge

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Blackjack House Edge Calculator. The Blackjack house edge calculator will help you see your and the casino odds in the specific game you are playing. Play high-expectation blackjack games with extra $1000 on your bonus account. In the first table you can see your odds according to dealer up card. Blackjack players are always looking for an advantage. The easiest way is to find a game that pays 3:2 when a player is dealt a natural blackjack. The 6:5 blackjack game has a much higher house edge. The house edge is even larger when a player doesn’t play with perfect basic strategy.Casinos allow players to use a basic strategy card at the table.

Games available in most casinos are commonly called casino games. In a casino game, the players gamblecasino chips on various possible random outcomes or combinations of outcomes. Casino games are also available in online casinos, where permitted by law. Casino games can also be played outside casinos for entertainment purposes like in parties or in school competitions, some on machines that simulate gambling.

3Common non-table games
4House advantage

Categories[edit]

There are three general categories of casino games: table games, electronic gaming machines, and random number ticket games such as keno. Gaming machines, such as slot machines and pachinko, are usually played by one player at a time and do not require the involvement of casino employees to play. Random number games are based upon the selection of random numbers, either from a computerized random number generator or from other gaming equipment. Random number games may be played at a table, such as roulette, or through the purchase of paper tickets or cards, such as keno or bingo.

Table games[edit]

Common non-table games[edit]

Gaming machines[edit]

Random numbers[edit]

House advantage[edit]

Casino games typically provide a predictable long-term advantage to the casino, or 'house', while offering the players the possibility of a short-term gain that in some cases can be large. Some casino games have a skill element, where the players' decisions have an impact on the results. Players possessing sufficient skills to eliminate the inherent long-term disadvantage (the house edge or vigorish) in a casino game are referred to as advantage players.

The players' disadvantage is a result of the casino not paying winning wagers according to the game's 'true odds', which are the payouts that would be expected considering the odds of a wager either winning or losing. For example, if a game is played by wagering on the number that would result from the roll of one die, true odds would be 5 times the amount wagered since there is a 1 in 6 chance of any single number appearing, assuming that the player gets the original amount wagered back. However, the casino may only pay 4 times the amount wagered for a winning wager.

The house edge or vigorish is defined as the casino profit expressed as the percentage of the player's original bet. (In games such as blackjack or Spanish 21, the final bet may be several times the original bet, if the player double and splits.)

In American Roulette, there are two 'zeroes' (0, 00) and 36 non-zero numbers (18 red and 18 black). This leads to a higher house edge compared to European Roulette. The chances of a player, who bets 1 unit on red, winning is 18/38 and his chances of losing 1 unit is 20/38. The player's expected value is EV = (18/38 x 1) + (20/38 x -1) = 18/38 - 20/38 = -2/38 = -5.26%. Therefore, the house edge is 5.26%. After 10 spins, betting 1 unit per spin, the average house profit will be 10 x 1 x 5.26% = 0.53 units. European roulette wheels have only one 'zero' and therefore the house advantage (ignoring the en prison rule) is equal to 1/37 = 2.7%.

The house edge of casino games varies greatly with the game, with some games having an edge as low as 0.3%. Keno can have house edges up to 25%, slot machines having up to 15%.

The calculation of the roulette house edge was a trivial exercise; for other games, this is not usually the case. Combinatorial analysis and/or computer simulation is necessary to complete the task.

In games which have a skill element, such as Blackjack or Spanish 21, the house edge is defined as the house advantage from optimal play (without the use of advanced techniques such as card counting), on the first hand of the shoe (the container that holds the cards). The set of the optimal plays for all possible hands is known as 'basic strategy' and is highly dependent on the specific rules and even the number of decks used. Good blackjack and Spanish 21 games have house edges below 0.5%.

Traditionally, the majority of casinos have refused to reveal the house edge information for their slots games and due to the unknown number of symbols and weightings of the reels, in most cases it is much more difficult to calculate the house edge than that in other casino games. However, due to some online properties revealing this information and some independent research conducted by Michael Shackleford in the offline sector, this pattern is slowly changing.^[1]

Standard deviation[edit]

The luck factor in a casino game is quantified using standard deviations (SD).^[2] The standard deviation of a simple game like Roulette can be calculated using the binomial distribution. In the binomial distribution, SD = sqrt (npq ), where n = number of rounds played, p = probability of winning, and q = probability of losing. The binomial distribution assumes a result of 1 unit for a win, and 0 units for a loss, rather than -1 units for a loss, which doubles the range of possible outcomes. Furthermore, if we flat bet at 10 units per round instead of 1 unit, the range of possible outcomes increases 10 fold.^[3]

SD (Roulette, even-money bet) = 2b sqrt(npq ), where b = flat bet per round, n = number of rounds, p = 18/38, and q = 20/38.

For example, after 10 rounds at 1 unit per round, the standard deviation will be 2 x 1 x sqrt(10 x 18/38 x 20/38) = 3.16 units. After 10 rounds, the expected loss will be 10 x 1 x 5.26% = 0.53. As you can see, standard deviation is many times the magnitude of the expected loss.^[4]

The standard deviation for pai gow poker is the lowest out of all common casinos. Many casino games, particularly slots, have extremely high standard deviations. The bigger size of the potential payouts, the more the standard deviation may increase.

As the number of rounds increases, eventually, the expected loss will exceed the standard deviation, many times over. From the formula, we can see the standard deviation is proportional to the square root of the number of rounds played, while the expected loss is proportional to the number of rounds played. As the number of rounds increases, the expected loss increases at a much faster rate. This is why it is impossible for a gambler to win in the long term. It is the high ratio of short-term standard deviation to expected loss that fools gamblers into thinking that they can win.

It is important for a casino to know both the house edge and variance for all of their games. The house edge tells them what kind of profit they will make as percentage of turnover, and the variance tells them how much they need in the way of cash reserves. The mathematicians and computer programmers that do this kind of work are called gaming mathematicians and gaming analysts. Casinos do not have in-house expertise in this field, so outsource their requirements to experts in the gaming analysis field.

References[edit]

^'Michael Shackleford is the wizard of odds'. Observer. Retrieved 13 October 2015.
^Hagan, general editor, Julian Harris, Harris (2012). Gaming law : jurisdictional comparisons (1st ed.). London: European Lawyer Reference Series/Thomson Reuters. ISBN0414024869.
^Gao, J.Z.; Fong, D.; Liu, X. (April 2011). 'Mathematical analyses of casino rebate systems for VIP gambling'. International Gambling Studies. 11 (1): 93–106. doi:10.1080/14459795.2011.552575.
^Andrew, Siegel (2011). Practical Business Statistics. Academic Press. ISBN0123877172. Retrieved 13 October 2015.

Retrieved from 'https://en.wikipedia.org/w/index.php?title=Casino_game&oldid=933946920#House_advantage'

This week casino information mega-site Wizard of Odds released a new online blackjack study, which is though to be the first extensive analysis of online blackjack odds put out across the internet.

Wizard Of Odds Blackjack Trainer

The study, which can be read here, takes a look at the different blackjack games offered by software groups like RTG, Rival, Microgaming, Playtech, Cryptologic, Ace Gaming, Saucify, Dragonfish, SoftSwiss, 888, Amigotechs, Betsoft, and Pala Interactive. The study has a table that looks at the different rules, which can be sorted to compare the games.

Looking at the games, it appears that Cryptologic has the friendliest blackjack, as the house edge for its single deck game is just 0.21%, while Saucify has a 0.23% edge. The worst game in terms of house edge was Amigotech’s 6:5 blackjack game, which has a 1.28% edge for the house.

Online blackjack games have not had a dedicated study to look at their rules and odds across an industry-wide table, and it is thought that the Wizard of Odds one is unique. Over the last 19 years, the Wizard of Odds has broken ground by publishing the payout rates for various casino games around the world, becoming the first such site to do so. To this day, the Wizard of Odds is one of the most trusted online gaming sites, as it provides reviews, guides, and more to users as a free information source.

The site was founded by Michael Shackleford, an analyst who studies casino games to break down the odds. Mr. Shackleford has a long history of studying games for casinos, and has brought this knowledge to players through his website. Today, Shackleford serves as a consultant for outside game designers while also working on his site.

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