Slot machines are typically programmed to pay out as winnings 82% to 98% of the money that is wagered by players. This is known as the “theoretical payout percentage” or RTP, “return to player.” The minimum theoretical payout percentage varies among jurisdictions and is typically established by law or regulation. For example, the minimum payout in Nevada is 75%, in New Jersey, 83%, and in Mississippi 80%. The winning patterns on slot machines – the amounts they pay and the frequencies of those payouts – are carefully selected to yield a certain fraction of the money played to the “house” (the operator of the slot machine), while returning the rest to the players during play. Suppose that a certain slot machine costs $1 per spin and has a return to player (RTP) of 95%. It can be calculated that over a sufficiently long period, such as 1,000,000 spins, that the machine will return an average of $950,000 to its players, who have inserted $1,000,000 during that time. In this (simplified) example, the slot machine is said to pay out 95%. The operator keeps the remaining $50,000. Within some EGM development organizations this concept is referred to simply as “par.” “Par” also manifests itself to gamblers as promotional techniques: “Our ‘Loose Slots’ have a 93% payback! Play now!” It is worth noting that the “Loose Slots” actually may describe a very few anonymous machines in a particular bank of EGMs.
 
 A slot machine’s theoretical payout percentage is set at the factory when the software is written. Changing the payout percentage after a slot machine has been placed on the gaming floor requires a physical swap of the software or firmware, which is usually stored on an EPROM but may be loaded onto non-volatile random access memory (NVRAM) or even stored on CD-ROM or DVD, depending on the capabilities of the machine and the applicable regulations. Based on current technology, this is a time-consuming process and as such is done infrequently. In certain jurisdictions, such as New Jersey, the EPROM has a tamper-evident seal and can only be changed in the presence of Gaming Control Board officials. Other jurisdictions, including Nevada, randomly audit slot machines to ensure that they contain only approved software.
 
 The return to player is not the only statistic that is of interest. The probabilities of every payout on the pay table is also critical. For example, consider a hypothetical slot machine with a dozen different values on the pay table. However, the probabilities of getting all the payouts are zero except the largest one. If the payout is 4,000 times the input amount, and it happens every 4,000 times on average, the return to player is exactly 100%, but the game would be dull to play. Also, most people would not win anything, and having entries on the paytable that have a return of zero would be deceptive. As these individual probabilities are closely guarded secrets, it is possible that the advertised machines with high return to player simply increase the probabilities of these jackpots. The casino could legally place machines of a similar style payout and advertise that some machines have 100% return to player. The added advantage is that these large jackpots increase the excitement of the other players.
 
 The table of probabilities for a specific machine is called the Paytable and Reel Strips sheet, or PARS. The Wizard of Odds revealed the PARS for one commercial slot machine, an original International Gaming Technology Red White and Blue machine. This game, in its original form, is obsolete, so these specific probabilities do not apply. He only published the odds after a fan of his sent him some information provided on a slot machine that was posted on a machine in the Netherlands. The psychology of the machine design is quickly revealed. There are 13 possible payouts ranging from 1:1 to 2,400:1. The 1:1 payout comes every 8 plays. The 5:1 payout comes every 33 plays, whereas the 2:1 payout comes every 600 plays. Most players assume the likelihood increases proportionate to the payout. The one midsize payout that is designed to give the player a thrill is the 80:1 payout. It is programmed to occur an average of once every 219 plays. The 80:1 payout is high enough to create excitement, but not high enough that it makes it likely that the player will take his winnings and abandon the game. More than likely the player began the game with at least 80 times his bet (for instance there are 80 quarters in $20). In contrast the 150:1 payout occurs only on average of once every 6,241 plays. The highest payout of 2,400:1 occurs only on average of once every 643=262,144 plays since the machine has 64 virtual stops. The player who continues to feed the machine is likely to have several midsize payouts, but unlikely to have a large payout. He quits after he is bored or has exhausted his bankroll.
 
 Despite the fact that they are confidential, occasionally a PARS sheet is posted on a website. They have limited value to the player, because usually a machine will have 8 to 12 different possible programs with varying payouts. In addition, slight variations of each machine (i.e. with double jackpots or five times play) are always being developed. The casino operator can choose which EPROM chip to install in any particular machine to select the payout desired. The result is that there is not really such a thing as a high payback type of machine, since every machine potentially has multiple settings. From October 2001 to February 2002, columnist Michael Shackleford obtained PAR sheets for five different nickel machines; four IGT games Austin Powers, Fortune Cookie, Leopard Spots and Wheel of Fortune and one game manufactured by WMS; Reel ‘em In. Without revealing the proprietary information, he developed a program that would allow him to determine with usually less than a dozen plays on each machine which EPROM chip was installed. Then he did a survey of over 400 machines in 70 different casinos in Las Vegas. He averaged the data, and assigned an average payback percentage to the machines in each casino. The resultant list was widely publicized for marketing purposes (especially by the Palms casino which had the top ranking).
 
 One reason that the slot machine is so profitable to a casino is that the player must play the high house edge and high payout wagers along with the low house edge and low payout wagers. In a more traditional wagering game like craps, the player knows that certain wagers have almost a 50/50 chances of winning or losing, but they only pay a limited multiple of the original bet (usually no higher than three times). Other bets have a higher house edge, but the player is rewarded with a bigger win (up to thirty times in craps). The player can choose what kind of wager he wants to make. A slot machine does not afford such an opportunity. Theoretically, the operator could make these probabilities available, or allow the player to choose which one so that the player is free to make a choice. However, no operator has ever enacted this strategy. Different machines have different maximum payouts, but without knowing the odds of getting the jackpot, there is no rational way to differentiate.
 
 In many markets where central monitoring and control systems are used to link machines for auditing and security purposes, usually in wide area networks of multiple venues and thousands of machines, player return must usually be changed from a central computer rather than at each machine. A range of percentages is set in the game software and selected remotely.
 
 In 2006, the Nevada Gaming Commission began working with Las Vegas casinos on technology that would allow the casino’s management to change the game, the odds, and the payouts remotely. The change cannot be done instantaneously, but only after the selected machine has been idle for at least four minutes. After the change is made, the machine must be locked to new players for four minutes and display an on-screen message informing potential players that a change is being made.
 
 This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia.

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia.

WASHINGTON, Pennsylvania — (PRESS RELEASE) — The Meadows Racetrack and Casino will host the first-ever slot tournament in Pennsylvania after receiving approval from the Pennsylvania Gaming Control Board. The inaugural event is scheduled for December 12 from 12:00 Noon to 8:00 p.m., the first of three themed “Holiday Slot Tournament” and will initially include invited Players Club members only. Additional tournaments are scheduled for December 19 & 26, 2011. The Meadows will open slot tournaments to the general public in January.

Slot tournaments are brief competitions with a designated amount of time. Seats are assigned to players randomly and the goal is to accumulate as many credits as possible in the time allotted.

The Pennsylvania Gaming Control Board authorized slot tournaments as part of last year’s legislation allowing table games. Manufacturers had to modify the software to meet state requirements for continuous monitoring of slot machines. The Meadows already installed tournament software on 28 machines — 20 near Silks Lounge and eight in the clubhouse area for players club members at the gold level and above.

Each Holiday Slot Tournament will include and overall prize pool of $20,000 in Cash and Slot FreePlaySM for a grand total of $60,000 for all three tournaments. First place has their choice of $5,000 Cash or $10,000 Slot FreePlaySM

“This is a game changer from the traditional slot machines,” said Michael Jankoviak, Director of Slot Operations at The Meadows. “During an in-house test with no prizes involved, our people were hooting and hollering and wanting to do it again and again.”

Tournaments will be limited to the first 960 people checked in per day and Slot FreePlaySM prizes are valid for up to seven days from the tournament date. Tournament participation is based on availability and will occur in order of check-in.

All modern machines are designed using pseudorandom number generators (“PRNGs”), which are constantly generating random numbers, at a rate of hundreds or perhaps thousands per second. As soon as the “Play” button is pressed, the most recent random number is used to determine the result. This means that the result varies depending on exactly when the game is played. A fraction of a second earlier or later, and the result would be different.

It is important that the machine contains a high-quality RNG implementation, because all PRNGs must eventually repeat their number sequence (see Art of Computer Programming Volume 2 Chapter 3, Random numbers), and if the period is short, or the PRNG is otherwise flawed, an advantage player may be able to ‘predict’ the next result. Having access to the PRNG code and seed values Ronald Dale Harris, a former slot machine programmer, discovered equations for specific gambling games like Keno that allowed him to predict what the next set of selected numbers would be based on the previous games played.

Most machines are designed to defeat this by generating numbers even when the machine is not being played, so the player cannot tell where in the sequence they are, even if he knows how the machine was programmed.

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia.

With microprocessors now ubiquitous, the computers inside modern slot machines allow manufacturers to assign a different probability to every symbol on every reel. To the player it might appear that a winning symbol was ‘so close’, whereas in fact the probability is much lower.

In modern slot machines, the reels and lever are for historical and entertainment reasons only.

Video slot machines

The video slot machine is a more recent innovation, with no moving parts at all – instead a graphical representation of one appears on screen. Since the player is essentially playing a computer game, the manufacturers are able to offer more interactive elements, such as advanced bonus games and advanced video graphics.

In addition, because there are no mechanical constraints on the design of video slot machines, most display five reels rather than three. This greatly expands the number of possibilities: a machine can have 50 or more symbols on a reel, giving odds as high as 300 million to 1 against – enough for even the largest jackpot. As there are so many combinations given by five reels, the manufacturers do not need to weight the payout symbols (although some may still do so). Instead, higher paying symbols will typically appear only once or twice on each reel, while more common symbols, earning a more frequent payout, will appear many times.

Video slot machines typically encourage the player to play multiple ‘lines’, so rather than simply taking the middle of the three symbols displayed on each reel, a line could go from top left to bottom right, or any of the other patterns specified by the manufacturer. As each symbol is equally likely, there is no difficulty for the manufacturer in allowing the player to take any or all of the possible lines on offer – the long-term return to player will be the same. The difference for the player is that the more lines he plays the more likely he is to get paid on a given spin – though of course he is betting more in the first place.

To avoid the feeling that the player’s money is simply ebbing away (whereas a payout of 100 credits on a single line machine would be 100 bets, and the player would feel they had made a substantial win, on a 20 line machine, it would only be 5 bets and would not seem significant), manufacturers commonly offer bonus games, which can return many times their bet. The player is encouraged to keep playing to reach the bonus: even if he is losing, the bonus game could allow him to win back his losses.

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia.

Until recently all slot machines used revolving mechanical reels to display and determine results. Although the original slot machine used five reels, simpler, and therefore more reliable, three reel machines quickly became the standard.

The problem with three reel machines is that the number of combinations is only cubic – the original slot machine with three physical reels and 10 symbols on each reel had only 10³ = 1,000 possible combinations. This limited the manufacturer’s ability to offer large jackpots, since even the rarest event could happen every 1,000 plays. The maximum theoretical payout, assuming 100% return to player would be 1000 times the bet, but that would leave no room for other pays, making the machine very high risk, and also quite boring.

Although the number of symbols eventually increased to about 22, allowing approximately 10,000 combinations, this still limited jackpot sizes as well as the number of possible outcomes.

In the 1980s, however, slot machine manufacturers incorporated electronics into their products and programmed them to weight particular symbols. Thus the odds of losing symbols appearing on the payline became disproportionate to their actual frequency on the physical reel. A symbol would only appear once on the reel displayed to the player, but could in fact occupy several stops on the multiple reel.

In 1984 Inge Telnaes received a patent for a device titled, “Electronic Gaming Device Utilizing a Random Number Generator for Selecting the Reel Stop Positions” (US Patent 4448419),^[1] which states: “It is important to make a machine that is perceived to present greater chances of payoff than it actually has within the legal limitations that games of chance must operate.” ^[2] The patent was later bought by International Game Technology and has since expired.

A virtual reel can have up to 256 virtual stops per reel, allowing 256³ = 16,777,216 final positions. The manufacturer could choose to offer a million dollar jackpot from a $1 bet, confident that it will only happen every 16.7 million plays.

References

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia.