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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.
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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.
See also[edit]
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.
DoubleDown Casino is a casino simulator game where you can try your luck at no or little expense. You can download DoubleDown Casino game to your phone or play it in your browser; all of its various games will still be available.
Graphics 9/10
The atmosphere is recreated well in this game. A luxurious red curtain and a big stage surrounded by slot machines, halls with players, roulette and card tables – all of these are drawn the way it was in old magazines, recreating the good old times.
The games are drawn even better than the background. Cards are distinguishable, the roulette rolls excitingly, the slot machines mirror real cult ones. It’s a great thing to relax, feeling like you’ve entered a real casino.
Sound 9/10
What we like most about DoubleDown Casino is its quite diverse music. From jazzy and funky party mood it shifts to meditative, contemplative relaxed mode. There’s not a single annoying tune that would get you tired too soon. Otherwise, it changes from game to game.
As for sounds of dealing cards, rolling roulettes, slot machines, and coin waterfalls, they are quite okay too (the latter being the sweetest).
Gameplay 9/10
While some other online casinos only stick to slot machines, DoubleDown has much more to offer. It features slot machines as well, but there are also card games, other social games (like roulette and bingo), though some of them are in fact solo.
Each game starts with a brief explanation, and all the info you may later need is available on the screen while you play. So we’ll leave that there rather than bring it to DoubleDown Casino review.
Alas, if you’re a poker fan or a devoted bingo player, you better search for something specialized. It takes too long for other players to join the table, so a dedicated virtual poker room will be a wiser choice. But it’s quite okay with solo games. Blackjack and roulette are easy to play, from learning rules (if you happen not to know them or want to refresh), to digital assistants.
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No real money rewards are offered, as it would turn an entertaining app into a gamble. Still, you can spend some real money on virtual chips, and sometimes it’s even fun to spend it. But a hope to win that spices it up in real gambling isn’t so obviously present.
Lasting Appeal 8/10
Not a series of endless slot machines, it’s a more diverse casino with classical games. But still, it’s focused on solo games, including lots of famous slot machines gone digital. Even pure exploration of what’s in store may take weeks. You may like this idea, but there are many other online casinos, and some are very interesting to learn. So chances are you’ll turn away before you’re really through.
The Verdict
The original game can be played both in your browser or in Facebook Gameroom. If you want to play it more often, you can download DoubleDown Casino games separately to your mobile.
Pros:
- Great design;
- Lots of slots and other games;
- Frequent deals and giveaways;
- Mobile versions also available.
Cons:
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- Social games are neglected and abandoned, with solo ones;
- Your initial bonus is so easy to spend.