These are a few examples of gambling events, whose properties of compoundness, exclusiveness and independency are easily observable. The following figure shows how likely results are to fall within one, two and three standard deviations of the expected result. Games of chance are not merely pure applications of probability calculus and gaming situations are not just isolated events whose numerical probability is well established through mathematical methods; they are also games whose progress is influenced by human action. Online slots are like brick and mortar slots in nearly every way, with additional benefits. Blackjack has been a high-profile target for advantage players since the s. Over variations of blackjack have been documented. This page was last edited on 25 September , at
HOW BLACKJACK IS DIFFERENT ?
The knowledge presented here is here is required to determine whether the results good or bad, lye in the statistical realm of possibility. This is easily displayed in Roulette and Craps.
In blackjack what happens in the past directly affects what happens in the future. Blackjack has memory, and the law of independent trials is not valid. In Blackjack each card has a specific value that it adds to, or subtracts from the initial advantage that the casino has over the player.
The initial advantage is derived from the rules of the game. When enough of the right cards are dealt, the advantage swings in the players favor. In blackjack when an Ace or 10 value card is dealt the casino advantage over the player increases. When lower value cards are put in play the casino advantage decreases, and when enough of those cards are dealt, the player has an advantage over the casino. The percent advantage that the casino has over the player in blackjack or vice versa is not static.
There are many approaches that one can introduce to keep track of the shifting percentages. This system assigns values of either: All cards are assigned a value of 1 and all cards with a face value of 7, 8 and 9 have a value of 0.
All tens, face cards and Aces have a value of As the cards are dealt, the player adds the assigned values of the cards up, the summation of these cards after a round of blackjack is termed the running count. In a positive running count, the value is normalized into an average of how many more high cards than low cards or low cards than high cards there are per deck.
To accomplish this, the player estimates how many decks are remaining and, the running count is then divided by how many decks remain, and this value is termed the true count.
For example, if a player has observed three decks of a six deck shoe being played, and the running count is a 15, that is fifteen more low cards have been played than high cards 10s, face cards and aces through the first three decks of the shoe; the player then takes the running count 15 and divides by the decks remaining 3 , and this would give a true count of 5.
The player subtracts an offset: For every whole unit increment plus or minus observed in the true count, the player advantage increases by approximately 0. When a preponderance of high cards remain, the true count is high and the player has an advantage over the casino. This occurs for three reasons. First, blackjacks are dealt more frequently and, since the payoff on a blackjack is asymmetric the player gets paid 3: Usually a player would like to see a high card come out when doubling down or splitting, or the player exercises these options when the dealer is weak and a high card will cause the dealer to break a hit that would cause the dealer to go over These plays have a higher return when the remaining deck is rich in high cards.
Finally, the player may vary their strategy depending upon the composition of the remaining cards. With a preponderance of high cards, the player can stand on more stiff hands totals of , double down more often with strong totals cards equal to 9, 10 or 11 or, when the dealer is weak and susceptible to going over 21, the player may stand.
In contrast, the rules prohibit the dealer from varying their strategy. The combination of these factors gives rise to situations where the casinos edge is overcome and a skilled player has an advantage over the house. To determine what the amount that one expects to win over a given time either the casino or player , three key pieces of information are required.
Number of Hands or Spins 3. When we bet 1 dollar per flip, the equation for how much we expect to win over flips is: In this example we wagered dollars and won 50 dollars on 50 of those bets. This leads to a zero sum game. No winners no losers.
When a coin is flipped times the outcome is rarely exactly 50 heads and 50 tails. Therefore we must introduce the concept of variance per number of events. Variance is a measure of statistical dispersion. To stick with the coin flip example, variance helps answer the question of whether or not it would it be surprising if we observed 45 heads out of trials, or if we observed only 5 heads in coin flips.
The answers are no and yes. Getting only 5 heads in coin flips would virtually prove you were flipping a weighted coin. Understanding this concept is crucial for evaluating casino gaming results, since proper statistical analysis is required in order to determine if the results good or bad are a function of luck or skill.
It essentially determines whether or not a player or casino is being cheated. Variance is usually discussed in terms of standard deviations, and that will be the case going forward in this discussion.
Standard deviation is equal to the square root of the variance. The mathematical statement reads as: Online slots are like brick and mortar slots in nearly every way, with additional benefits.
But first, start with this page. Learn about all the different games you can play. Our site also offers sections for online players. The free games page includes some of the best made slots for online players and all of the games load instantly in your browser. If you have any questions, please feel free to contact us.
Tired of playing for free? If so, have a look at how to play for real and the top sites to play at. Check out the latest slot machine releases that you can play online at several reputable casinos. One area that is growing rapidly in gaming is mobile. More than 13 million people play social casino games every month.
It makes sense to play on your phone or tablet, too. So the next best thing is to play on your smartphone or tablet. And fortunately for you, slots make up the majority of the games available at each casino.
You can play slots on your iPhone, iPad and Android devices. Some casinos will have Windows and Blackberry slots as well. As time goes and mobile continues to grow, I only expect there to be more compatible slots apps available.
Getting started is real simple, too. Use the guide below to find out which casinos offer apps compatible with your device. You can play for free or real money. The choice is entirely up to you. Here are the most common options:. One of the areas that online slots distinguish themselves from their brick and mortar counterparts is that you can play for free.
You can play most slot games, variations and themes for free including some of the big names like Star Trek, Monopoly, Twilight Zone and others. That includes 3-reel slots, video slots, games with bonus rounds, etc. Everyone will have their own reasons.