 Slots
Slot Machine Strategy
By
Apr 19, 2004, 08:42
How They Work
Consider yourself lucky to have
stumbled upon this page for you are about to learn the secrets behind the reels.
Before I explain how modern slot machines work let me explain how they don't
work. Many books on slot machines incorrectly state that each reel is equally
likely to stop on each position, or stop. They reason that if a slot machine has
20 stops on each reel and one jackpot symbol on each reel, then the probability
of hitting the jackpot is 1 in 203 = 1/8000. This was true of the
early days of slot machines before they become electronic. Today this is
patently untrue.
Modern electromechanical slot machines are governed by random numbers and
microchips. Based on evidence from a variety of sources including program
specifications for specific slot machines I offer the following explanation of
the steps that a typical three reel slot machines goes through on a typical
play.
- Player initiates a new play by inserting a coin, pulling the handle, or
hitting the 'spin' button.
- The machine selects three random numbers. These are chosen from a random
number generator that is constantly drawing random numbers at a rate of
thousands per second. The numbers chosen at the moment the play is initiated
are the ones used to determine the final outcome. In other words the outcome
is predestined the moment you spin the reels.
- The three random numbers chosen will be divided by a fixed number. This
fixed number is usually a power of 2, such as 64 or 128. For example, if the
divisor were 128 the machine would have three remainders ranging from 0 to
127.
- It is common terminology to think of the remainders as stops on "virtual
reels." If the divisor were 128 then the virtual reels would each have 128
stops with each stop being equally likely. Each stop on the virtual reel is
mapped to a stop on an actual reel. Obviously there are more stops on a
virtual reel than a typical 22 stop actual reel. Each stop on the actual reel
will be weighted with a specified number of stops on the virtual reel.
In general the non-paying symbols, like blanks, will be more heavily weighted
than the paying symbols. The blanks above and below the highest paying symbols
usually have the greatest weighting, giving the illusion of almost hitting the
jackpot. In another effort to build suspense, the first reel to stop will often
be weighted the most generously with paying symbols and the last reel will be
weighted the tightest.
This idea of weighted reels owned and patented by IGT under the Telnaes
patent. IGT lets other slot makers use their idea, stipulating they the number
of positions on their virtuals reel not exceed a specified number which I
believe to be 64. This gives IGT a monopoly on very large jackpots because only
IGT can set very low probabilities of hitting them. It is my understanding that
the Telnaes patent expires in 2001.
The Double Strike Experiment
In an effort to show how the reels of a typical slot machine are weighted I
played and recorded almost 4000 trials of IGT's "Double Strike" machine. As of
November 1, 2000, this 25 cent machine can be found at the Silver Legacy in
Reno, machine number 4533. The pay table is based only on the center line and is
as follows.
Double Strike Pay Table |
Combination |
1 Coin Pays |
2 Coins Pay |
Three red double 7s |
2000 |
5000 |
Three red 7s |
200 |
400 |
Three blue 7s |
100 |
200 |
Three green 7s |
40 |
80 |
Any three 7s |
20 |
40 |
Three 5 bars |
20 |
40 |
Three single bars |
10 |
20 |
Any three bars |
5 |
10 |
Any three symbols |
2 |
4 |
In addition any symbol on the pay line that says "double" doubles the payoff,
except for three red double sevens. Two doubles would multiply the pay off by 4
and three doubles by 8.
On each reel there are 22 stops, 11 paying symbols and 11 blanks. Each reel
has the same distribution and order of symbols. The following table shows the
order of all symbols on the reel and my best guess as to the weighting of each
stop. The weighting is the chance out of a total of 128 stops that the reel will
stop on that position. For example the probability that the first reel would
stop on a double red seven would be 2/128 =~ 1.56%.
Double Strike Approximate Reel Weightings |
Symbol |
Reel 1 |
Reel 2 |
Reel 3 |
Blue 7 |
5 |
5 |
4 |
Blank |
4 |
6 |
7 |
Double 5 bar |
4 |
4 |
3 |
Blank |
5 |
7 |
8 |
Red 7 |
4 |
4 |
2 |
Blank |
5 |
6 |
9 |
Double single bar |
5 |
3 |
4 |
Blank |
4 |
3 |
3 |
Green 7 |
10 |
13 |
11 |
Blank |
8 |
8 |
10 |
Double blue 7 |
3 |
2 |
2 |
Blank |
7 |
7 |
9 |
Single bar |
13 |
11 |
5 |
Blank |
8 |
8 |
9 |
Double red 7 |
2 |
2 |
2 |
Blank |
9 |
9 |
9 |
Five bar |
13 |
11 |
12 |
Blank |
4 |
6 |
7 |
Double green 7 |
4 |
3 |
1 |
Blank |
4 |
4 |
4 |
Single bar |
4 |
3 |
3 |
Blank |
3 |
3 |
4 |
It should be stressed that these weightings are my best guess based on almost
4000 trials. It is unlikely that I am exactly right but I do feel I have enough
data to be reasonably close to the actual weightings.
Variable State Slots
Some of the video display slot machines have a feature in which the player
wins a bonus when some kind of meter reaches a particular point. These kinds of
slots have variable states. In other words the higher the state the greater the
expected payback. Examples of this kind of machine include Piggy Bank, Car Race,
Temperature Rising, and Double Diamond Mine.
If you play one of these kinds of machines be sure to play through the end of
a cycle and leave the machine in the lowest state. People have been known to
aggressively search out these kinds of slot machines in which the last player
unknowingly left the machine in a high state.
Slot Payback
Based on my own research I can tell you that 5 cent, 5 reel, multi-payline,
video display slots in Las Vegas return on average about 91.3%.
Myths
Below are some of the biggest myths about slot machines.
- Slot machines stop on any possible set of stops with equal probability
As explained above this is not true of modern slot machines. Some stops are
much more likely than others.
- Slot machines are programmed to go through a cycle of payoffs. Although
the cycle can span thousands of spins once it reaches the end the outcomes
will repeat themselves in exactly the same order as the last cycle.
This is not true at all. Every trial is random and independent of all past
trials.
- Slot machines are programmed to pay off a particular percentage of
money bet. Thus after a jackpot is hit the machine will tighten up to get back
in balance, and when a jackpot has not been hit for a long time it is overdue
and more likely to hit.
The only part of this that is true is that they are designed to pay off a
particular percentage. However the laws of probability dictate that the longer
the machine is played the closer it will come to its target payoff, even with
every trial being completely random. A jackpot is equally as likely to be hit
right after the last one and if it has been fifty million spins since the last
one.
- Hot/cold coins are more likely to yield good returns.
The temperature of the coin does not matter. It also does not matter how
long it has been since the coin was last played.
Other Tips
Here are some other miscellaneous tips to help you cut down the house edge.
- Most machines reward you for playing the maximum coins. For example the
jackpot may pay 2000 coins with 2 coins played, but 4000 with 3 coins played.
In most cases it is advisable to play the maximum coins.
- Never leave or play a machine that owes you money. Sometimes a machine
will run out of money before it is finished paying you off. If you get up
someone else can sit at your machine and claim they hit your jackpot. If you
put another coin you may lose the evidence so don't touch anything until you
are paid off.
- Look for who is advertising loose slots and quoting specific payback
percentages. These casinos are eager for your business and are willing to
reward you with a looser machine for coming in.
There Is No Easy Way
There are lots of people selling the "secrets" of winning at slots and
promise easy winnings to the buyer. Don't waste your money. There are only two
ways to beat the slots without cheating: (1) Play variable state slots (as
explained above) in high states and (2) play progressive slots when the meter is
unusually high. Based on what I have seen those authors promising easy money at
the slot machines are not exploring these methods but instead rambling on with a
mixture of correct and incorrect information, neither of which will give the
player an edge.
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