Online Casino Games – Which is the Best One For You?

People who search for a way of spending a little time trying their luck at casino games are no longer limited by their distance from a bricks and mortar casino. The digital age has allowed legal gambling to be available to all, and those who are interested in this type of gaming experience can now try their luck from any computer that has internet access. While there are some restrictions on US players, it is possible for US people to play at certain online casinos.

Whatever is offered at real casinos is also available to the online version and there are countless different games that can be played at an online casino. As with real life casinos, most of these games have different probabilities for winning as well as different costs for playing. Some of the various casino games that can be found online are outlined below.

First of all there are the card games. These games are still the most popular of all casino games and that includes both the online casinos and the real life ones. There are literally hundreds of different card games that can be played today, with several variations of blackjack, poker and baccarat.

Secondly we can find the slot machines and these are as popular online as they are in real casinos. Because there are many different slots available, players are able to decide which ones they want to play based on design and style. The main characteristics of a slot game are the three reels, five reels, and bonus slots. Progressive slots are also available from several online casinos, wherein the jackpot can build up. Online slot machines vary in playing costs, with some charging a few cents while others could cost $5 and upwards for a spin.

Thirdly you can find table games. These can include games such as craps where you throw the dice and hope for the best, roulette, which is the classic wheel spinning game where you can choose your odds and with a number of different variations accessible at most casinos, Pai Gow which is the Chinese tile game, and sic bo which is also a Chinese game but this time involves three dice and has a variation called chuck-a-luck. Each of these games can be found in nearly all real casinos as well as in most online versions. One thing that has to be remembered though is that the odds with these games are profoundly biased toward the house, and the computer generated spins or rolls will only make the result more uneven towards the houses favour!

When playing online chance games, you will never lack in the variety of games that are offered in a real life casino. These variations of the game are also accessible in the same diversity as the real casinos, but with the difference of being able to play from the comfort of your own home. If you have some time to spare and would like the chance to win a bit of cash, the prospect of playing casino games is never too far away.

Live Casino and Live Dealers

A major trend catching up these days is that of online gaming. From simplistic games of shooting, car racing etc. (which of course still remain popular with many); the focus is now on games such as casino. From mere casino games which involved a single player, now the games have become more interesting and dynamic by the new concept of LIVE Online Casinos. Here, there may be single or multi players playing online at the same time. Not only this, there is a LIVE online Dealers for single as well as multi players, i.e. one dealer for all players and that too live! The concept of the Live Dealer is gaining its popularity from Riga, Latvia which is the epicenter online gambling. It was established not long ago (in 2005) and is still is in infancy. The Live Dealers are a connection between the Casino Houses and the player who plays online. The dealers are real just like us and they use real equipment such as cards, dice, etc for the game, the only difference that the player plays remotely.

These games are popular with all people of all age brackets – a person getting bored at home may play these, kids looking for a time pass may play these, a person working and in need of some relaxation may give in some time to these LIVE Casino online Games. The video footage is so precise that it even shows the footage of the ball dropping and stopping at a particular place on the roulette. The experience is so vivacious that one actually feels that one is sitting there, the only difference being that there are no people around.

There are online video demonstrations and live casino guide as well, in case one wants to know the exact know hows of the online LIVE Casino or LIVE Dealer Game. Live Blackjack shuffles are employed very regularly- usually mid-shoe to prevent card counters from penetrating the deck and winning a lot. The best feature about the kind of an online gaming is that one can also switch tables with the mouse click without even having to wait for the dealer to shuffle the cards.

There are several websites catering to such a gaming. Initially it started with Evolution Gaming which was a niche casino platform developer, later it was joined by Playtech, an online casino software powerhouse. Initially, the gaming was majorly centered on Asia, and later it moved to Europe and other continents. Now, there are several kinds of Live Casinos, Blackjacks etc based on continents such as LIVE Online Roulette may be French, American, European and Asian. There is only a slight difference amongst these, but the fundamentals of the game are the same.

Top 7 Online Casino Games

Online casinos have been the revolution online with more and more people getting involved in them on a daily basis. There are opportunities to get free money from them to start playing and as someone gets more involved in the online gambling world they may even deposit their own funds in the accounts. There are a variety of different games that people play both at online casinos and in brick and mortar casinos as well.

Popular Casino Games

One of the most famous games that can be played in online casinos is blackjack. It may not be as exciting or fast paced as many other games but it is definitely one of the most popular available and can be found in just about any casino you may visit. Each casino will have their own rules in place and betting limits to give a unique experience every time the game is played.

Craps is yet another game that is quite popular in the world of gambling and casinos all over the world. It is not a card game but instead a dice game that even beginners can get acquainted with as they play more and more.

Slots are something that people often think of when the term casino comes to mind because it is so widespread and different themes can be present depending on the casino. Many even have a theme and every game in it has been catered to be switched enough to fit into this structure.

Slots allow you to place different bets and play as many or as few lines as you wish to give you a customized and totally personal gaming experience that is low stress and offers a chance to win high jackpots.

Video poker is a skill based game with a little chance thrown in. This allows many players the opportunity to get their skills improved while also having fun and winning money.

Games of Chance and Simplicity

Roulette is a fun game to play but is totally based on chance. There is no likelihood that one number is going to come up more often than another. It is a fun game but doesn’t require any skill which is ideal for someone who doesn’t want to have to learn how to play something or just wants to place a bet and see what happens with the chances they are dealt.

Keno is yet another game that is totally chance based. Keno is also a game that has been based on the chances you are given so it’s not exactly one that can be manipulated to help you get an upper hand. However, the rules can vary from place to place and this is what makes the game a bit more interesting to play and bet on overall.

Beginners may be intimidated by the casino since there are so many games but baccarat is yet another game that is perfect for beginners since all that is needed to be done by the actual gambler is to place that bet and see how it all works out.

What Is Randomness?

The BBC Radio 4 programme ‘In Our Time’ looked at the topic of randomness today. The In Our Time website has a link to the programme on the iPlayer, if you missed it first time round.

What is meant by randomness? Well, a truly random event is not deterministic, i.e. it is not possible to determine the next outcome, based upon the previous outcomes, or on anything else.

In actual fact, random processes are very important in lots of areas of maths, science and life in general, but truly random processes are remarkably difficult to achieve. Why should this be the case? Because in theory, many processes that we consider to be random, such as rolling a dice, are in fact deterministic. You could, theoretically, determine the outcome of the dice roll if you knew its exact position, size, etc.

The ancient Greek philosopher and mathematician Democritus (ca. 460 BC – ca. 370 BC) was a member of the group known as Atomists. This group of ancients were the pioneers of the concept that all matter can be subdivided into its fundamental building blocks, atoms. Democritus decreed there was no such thing as true randomness. He gave the example of two men meeting at a well, both of whom consider their meeting to have been pure chance. What they did not know is that the meeting was probably pre-arranged by their families. This can be considered an analogy for the deterministic dice roll: there are factors determining the outcome, even if we cannot measure or control them precisely.

Epicurus (341 BC – 270 BC), a later Greek mathematician, disagreed. Although he had no idea how small atoms really were, he suggested they swerve randomly in their paths. No matter how well we understand the laws of motion, there will always be randomness introduced by this underlying property of atoms.

Aristotle worked further on probability, but it remained a non-mathematical pursuit. He divided all things into certain, probable and unknowable, for example writing about the outcome of throwing knuckle bones, early dice, as unknowable.

As with many other areas of mathematics, the topic of randomness and probability did not resurface in Europe until the Renaissance. The mathematician and gambler Gerolamo Cardano (24 September 1501 – 21 September 1576) correctly wrote down the probabilities of throwing a six with one dice, a double six with 2 dice, and a triple with three. He was the first person to notice, or at least to record, the fact that you’re more likely to throw 7 with 2 dice than any other number. These revelations formed part of his handbook for gamblers. Cardano had suffered terribly because of his penchant for gambling (at times he pawned all his family’s belongings, ended up in a poor house, and in fights). This book was his way of telling fellow gamblers how much they should bet and how to stay out of trouble.

In the 17th century, Fermat and Pascal collaborated and developed a more formalised theory of probability and numbers were assigned to probabilities. Pascal developed the idea of an expected value and famously used a probabilistic argument, Pascal’s Wager, to justify his belief in God and his virtuous life.

Today there are sophisticated tests that can be performed on a sequence of numbers to determine whether or not the sequence is truly random, or if it has been determined by formula, human being, or some other means. For example does the number 7 occur one tenth of the time (plus or minus some allowable error)? Is the digit 1 followed by another 1 one tenth of the time?

An increasingly sophisticated series of tests can be fired into action. We have the “poker test”, which analyses numbers in groups of 5, to see whether there are two pairs, three of a kind, etc, and compares the frequency of these patterns with those expected in a truly random distribution. The Chi Squared test is another statistician’s favourite. Given that a particular pattern that has occurred, it will give a probability, and a confidence level, that it was generated by a random process.

But none of these tests are perfect. There are deterministic sequences that look random (pass all the tests) but are not. For example, the digits of the irrational number π look like a random sequence, and pass all the tests for randomness, but of course, it is not. π is a deterministic sequence of numbers – mathematicians can calculate it to as many decimal places as they please, given powerful enough computers.

Another naturally occurring, seemingly random distribution is that of the prime numbers. The Riemann Hypothesis provides a way to calculate the distribution of the primes, but it remains unsolved and nobody knows whether the hypothesis remains valid for very large values. However, like the digits in the irrational number π, the distribution of the primes does pass all the tests of randomness. It remains deterministic, but unpredictable.

Another useful measure of randomness is a statistic called the Kolmogorov Complexity, named after the 20th century Russian mathematician. The Kolmogorov Complexity is the shortest possible description of a sequence of numbers, for example the sequence 01010101…. could be described simply as “Repeat 01”. This is a very short description, indicating the sequence is certainly not random.

However, for a truly random sequence, it would be impossible to describe the sequence of digits in any simplified form. The description would be just as long as the sequence itself, which indicates that the sequence would appear to be random.

During the last two centuries, scientists, mathematicians, economists and many others have begun to realise that sequences of random numbers are very important to their work. And so in the 19th century, methods were devised to generate random numbers. Dice, but can be biased. Walter Welden and his wife spent months at their kitchen table rolling a set of 12 dice over 26000 times, but these data were found to be flawed because of biases in the dice, which seems a terrible shame.

The first published collection of random numbers appears in a book of 1927 by Leonard HC Tippet. After that, there were many attempts, many flawed. One of the most successful methods was that used by John von Neumann, who pioneered the middle-square method, in which a 100-digit number is squared, the middle 100 digits are extracted from the result, and squared again, and so on. Very quickly, this process yields a set of digits that pass all the tests of randomness.

In the 1936 US presidential election, all the opinion polls pointed to a close result, with a possible win for the Republican Party’s candidate Alf Landon. In the event, the outcome was a landslide to the Democratic Party’s Franklin D Roosevelt. The opinion pollsters had chosen bad sampling techniques. In their attempts to be high-tech, they had telephoned people up to ask them about their voting intentions. In the 1930s, it was far more likely for wealthier people – largely Republican voters – to have a telephone, and so the results of the surveys were deeply biased. In surveys, truly randomising the sample population is of prime importance.

Likewise, it is also very important in medical tests. Choosing a biased sample set (e.g. too many women, too many young people, etc.) can make a drug appear more or less likely to work, biasing the experiment, with possibly dangerous consequences.

One thing is certain: humans are not very good at producing random sequences and they are not very good at spotting them either. When tested with two patterns of dots, a human being is particularly bad at deciding which pattern has been generated at random. Likewise, when trying to create a random sequence of numbers, very few people include features such as digits occurring three times in a row, which is a very prominent feature of random sequences.

But is there anything truly random? Going back to the dice we considered at the start, where a knowledge of the precise initial conditions would have allowed us to predict the outcome, surely this is true of any physical process creating a set of numbers.

Well, so far, atomic and quantum physics have come closest to providing us with truly unpredictable events. It is, to date, impossible to determine precisely when a radioactive material will decay. It seems random, but maybe we simply don’t understand. At the moment, it remains probably the only way to generate truly random sequences.

Ernie, the UK Government’s premium bond number generator, is now on its fourth reincarnation. It must be random, in order to give all the country’s premium bond holders an equal chance of a prize. It contains a chip that exploits the thermal noise within itself, i.e. the amount of movement in the electrons. Government statisticians perform tests of the number sequences that this generates, and they do indeed pass the tests for randomness.

Other applications are: the random prime numbers used in internet transactions, encrypting your credit card number. The National Lottery machines use a set of very light balls and currents of air to mix them up, but like the dice, this could, in theory, be predicted.

Finally, the Met Office uses sets of random numbers for its ensemble forecasts. Sometimes it is difficult to predict the weather because of the well-known “chaos theory” – that the final state of the atmosphere is highly dependent on the precise initial conditions. It is impossible to measure the initial conditions to anything like the precision required, so atmospheric scientists feed their computer models various different scenarios, with the initial conditions varying slightly in each. This results in a set of different forecasts and a weather presenter who talks in percentage chances, rather than in certainties.

See also: In Our Time.