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Therefore, the house edge is 5. The house edge of casino games vary greatly with the game. The calculation of the Roulette house edge was a trivial exercise; for other games, this is not usually the case.

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 or shuffle tracking , 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. Online slot games often have a published Return to Player RTP percentage that determines the theoretical house edge.

Some software developers choose to publish the RTP of their slot games while others do not. The luck factor in a casino game is quantified using standard deviation SD.

The standard deviation of a simple game like Roulette can be simply calculated because of the binomial distribution of successes assuming a result of 1 unit for a win, and 0 units for a loss.

Furthermore, if we flat bet at 10 units per round instead of 1 unit, the range of possible outcomes increases 10 fold.

After enough large number of rounds the theoretical distribution of the total win converges to the normal distribution , giving a good possibility to forecast the possible win or loss.

The 3 sigma range is six times the standard deviation: There is still a ca. The standard deviation for the even-money Roulette bet is one of the lowest out of all casinos games.

Most games, particularly slots, have extremely high standard deviations. As the size of the potential payouts increase, so does the standard deviation.

Unfortunately, the above considerations for small numbers of rounds are incorrect, because the distribution is far from normal.

Moreover, the results of more volatile games usually converge to the normal distribution much more slowly, therefore much more huge number of rounds are required for that.

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 practically impossible for a gambler to win in the long term if they don't have an edge.

It is the high ratio of short-term standard deviation to expected loss that fools gamblers into thinking that they can win. The volatility index VI is defined as the standard deviation for one round, betting one unit.

Therefore, the variance of the even-money American Roulette bet is ca. The variance for Blackjack is ca. Additionally, the term of the volatility index based on some confidence intervals are used.

It is important for a casino to know both the house edge and volatility index for all of their games. The house edge tells them what kind of profit they will make as percentage of turnover, and the volatility index tells them how much they need in the way of cash reserves.

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It makes for an incredible evening to sit in the warm water while the snow peacefully piles up around us. The payout percentage for these games are established by the rules of the game.

Online casinos can be divided into two groups based on their interface: Some casinos offer both interfaces. Web-based online casinos also known as flash casinos are websites where users may play casino games without downloading software to their local computer.

Games are mainly represented in the browser plugins Macromedia Flash , Macromedia Shockwave , or Java and require browser support for these plugins.

Also, bandwidth is needed since all graphics, sounds and animations are loaded through the web via the plugin.

Some online casinos also allow gameplay through a HTML interface. Apple devices such as iPod, iPad and iPhone cannot play Flash games as the technology is not supported.

Download-based online casinos require the download of the software client in order to play and wager on the casino games offered.

The online casino software connects to the casino service provider and handles contact without browser support. Download-based online casinos generally run faster than web-based online casinos since the graphics and sound programs are cached by the software client, rather than having to be loaded from the Internet.

On the other hand, the initial download and installation of a download-based online casino client does take time.

As with any download from the Internet, the risk of the program containing malware exists. In a virtual casino game, the outcome of each game is dependent on the data produced by a pseudorandom number generator PRNG.

This determines the order of the cards in card games, the outcome of a dice throw, or the results produced by the spinning of a slot machine or roulette wheel.

PRNGs use a set of mathematical instructions known as an algorithm to generate a long stream of numbers that give the impression of true randomness.

While this is not the same as true random number generation computers are incapable of this without an external input source , it provides results that satisfy all but the most stringent requirements for true randomness.

When implemented correctly, a PRNG algorithm such as the Mersenne Twister will ensure that the games are both fair and unpredictable. However, usually the player has to trust that the software has not been rigged to increase the house edge, as its inner workings are invisible to the user.

Properly regulated online casinos are audited externally by independent regulators to ensure that their win percentages are in line with the stated odds, and this can provide a degree of assurance to the player that the games are fair, assuming the player trusts the regulator.

In a live casino game, a human dealer runs the game in real time from a casino gaming table, which can be seen via a live streaming video link.

Players can make betting decisions via a console on their computer screen, and can communicate with the dealer using a text chat function.

The results of the physical transactions by the dealer, such as the outcome of the roulette wheel spin or the dealing of cards, are translated into data that can be utilized by the software by means of optical character recognition OCR technology.

This enables the player to interact with the game in much the same way as they would with a virtual casino game, except for the fact that the results are determined by real-life actions rather than automated processes.

These games are a lot more expensive for websites to host than virtual games, as they involve a heavier investment in technology and staffing.

A live casino studio typically employs one or more cameramen, several croupiers running the various games, an information technology manager to ensure that any technical hitches are dealt with swiftly, and a pit boss that acts as an adjudicator in case of disputes between players and croupiers.

The configuration of these rooms varies from casino to casino, with some having several gaming tables in one room, and some having a single table in each room.

The high running costs involved with operating live dealer games is the reason why online casinos only tend to offer a handful of the most popular games in this format, such as roulette , blackjack , sic bo , and baccarat.

In comparison, the running costs associated with virtual games are very low, and it is not uncommon for online casinos to offer hundreds of different virtual casino games to players on their site.

Online casinos vary in their approach to the hosting of live games, with some providing live games via their own television channel , and others offering the games exclusively via their website.

In the case of televised games, players can often use their mobile phone or television remote controls to place bets instead of doing so via a computer connected to the internet.

The most common live dealer games offered at online casinos are baccarat, blackjack and roulette. Many online casinos offer sign-up bonuses to new players making their first deposit, and often on subsequent play as well.

These bonuses are a form of marketing that may incur a cost potentially justifiable in order to attract a new player who may return and deposit many more times , since the casino is essentially giving away money in return for a commitment from the player to wager a certain minimum amount before they are allowed to withdraw.

Since all casino games have a house edge, the wagering requirements ensure that the player cannot simply walk away with the casino's money immediately after claiming the bonus.

These wagering requirements are commonly set to be sufficiently high that the player has a negative expectation, exactly as if they had deposited and not claimed a bonus.

Casinos may choose to restrict certain games from fulfilling the wagering requirements, either to restrict players from playing low-edge games or to restrict 'risk-free' play betting for instance both red and black on roulette , thereby completing the wagering requirement with a guaranteed profit after the bonus is taken into account.

The Welcome bonus is a deposit match bonus on the first deposit ever made in the casino or casino group. Welcome bonuses sometimes come in packages and may be given to match the first two or three deposits First Deposit Welcome Bonus, Second Deposit Welcome Bonus, etc.

The casino may also offer Welcome bonuses for high rollers who make an initial deposit above the standard amount limit. There are two types of Referral bonuses:

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