How to Use Probability to Win at Slots
Slot machines are Casino games with no real winning strategy...
Or so they say.
That means the probability to win at Slots in the long term is not great. But that does not eliminate the possibility of earning big in the short term thanks to something known as a Random Number Generator.
Slot Machines and Random Number Generators(RNGs)
Each time the lever is pulled, a button is pushed, and the reels are set in motion, a random combination of symbols is selected by the game. The random selection feature ensures that every spin is independent, thus the results of the previous spins do not affect the next ones in any way.
The probability of winning a payoff on any Slot machine is determined by thenumber of reels and the number of symbols on each reel. And whether a randomly generated pattern will get you a winning combination of symbols.
While it may seem like an impossible task, there are tricks making your spins work in your favor. Below, you will find the ultimate guide on how to use probability to win at Slots.
How to Win at Slots. Or, The Probability of Winning on a Slot Machine
The number of possible combinations on any Slot machine is easy to calculate. You need to multiply the total number of symbols (stops) each Slot (reel) has.
For example, on a three-reel machine with six symbols apiece, the total number of possible combinations is 6 x 6 x 6 = 216 combinations. Similarly, in a three-reel machine with 20 symbols each Slot, the total number of combinations would be 20 x 20 x 20 = 8,000.
Calculating the odds of winning on a Slot machine is simple: you need to divide the number of winning combinations by the number of possible combinations. That is:
Different winning combinations have different playoffs. The harder the combinations, the higher the reward.
Analyzing a Pair of Slot Machines to Understand How to Win at Slots
(For the purpose of writing this guide, we will assume that every Slot machine has a single line and only accepts one coin per roll.)
The first machine has three reels. On each reel, there is a banana, a lemon, an orange, an apple, a melon, and a joker. The payouts are as follows:
- OPTION 1: Three jokers - 30 Coins
- OPTION 2: Any 2 of a Kind Fruit - 10 Coins
- OPTION 3: Any Pair of Jokers - 4 Coins
- OPTION 4: Any Single Joker - 1 Coin
The number of possible combinations is: 6 × 6 × 6 = 216
So, How Easy Is It to Win at Slots in Each Case?
Depending on which of the previously mentioned four outcomes you're aiming for, there are different probabilities for collecting some cash, which we will explain below.
Option 1: 30 Coins aka. The Big Win
You have only one chance to bring home the machine’s biggest win. It’s hard but don't forget - if you know how to pick a winning Slot machine - a 'big win' can be worth millions.
Option 2: 10 Coins
Three-of-a-kind that doesn't include a joker. On the first reel, you can get any of the five fruits (banana, lemon, orange, apple, or melon). Once the fruit is chosen, it has to also appear on the paylines in the next two reels. If you do the math, you can see that there can only be five such combinations: three bananas, three lemons, three oranges, three apples, and three melons.
Option 3: 4 Coins
The jokers can appear on any two reels: reels 1 and 2, reels 1 and 3, and reel 2 and 3. To get this winning combination, the reel that doesn't feature a joker symbol must contain a fruit. Hence, the total possible winning combinations are 1 × 1 × 5 + 1 × 5 × 1 + 5 × 1 × 1 = 15.
Option 4: 1 Coin
The jokers can appear on any of the reels of the Slot machine. What is important, however, is that the other two reels have a fruit on them. This winning combination is more common as the right calculations suggest there are 75 different scenarios that can lead to it (1 × 5 × 5 + 5 × 1 × 5 + 5 × 5 × 1 = 75).
All in all, the Slot machine we used for this quick example features 96 different winning combinations: (1 + 5 + 15 + 75 = 96).
Let us calculate the total Slot’s payout using the table below.
|Winning Combinations||No. of Comb||Win||Payoff for One Coin||Percentage payoff|
|Any Three Similar Fruits||5||10||50||23.27|
|Any Two Jokers||15||4||60||27.91|
|Any One Joker||75||1||75||34.89|
Payout percentage = (1 × 30 + 5 × 50 + 15 × 4 + 75 × 1) ÷ 216 —> 215/216 = 0.9954 or 99.54 percent
A payoff of 99.54 percent is quite good for a Slot game. However, it can be a little misleading given that harder combinations are given more weight. If everything was paid equally, about 44.44 percent or 96/216 of combinations would win.
Analyzing a Complex Slot Machine to Figure Out How to Win at Slots
Note: Also in this example, we will use one line, three reels
The distribution of symbols on each reel is as follows:
|Symbols||Reel 1||Reel 2||Reel 3|
Note that there is a non-equitable distribution of symbols on each reel. With the lack of Sevens (7s) Cherries and BARs, it is clear that the probability of getting winning combinations involving these three symbols will offer high payoffs.
The payouts and winning combinations are as follows:
- 3 BARs wins 60 coins. Number of winning combinations: 1
- 3 Sevens win 40 coins. Number of winning combinations: 3 (3 × 1 × 1 = 3)
- 3 Cherries win 20 coins: Number of winning combinations: 36 (4 × 3 × 3 = 36)
- 2 Cherries Wins 4 coins: Can be anywhere on the reels
- TOTAL for Fruits: 540, For Oranges 5 × 6 × 6 = 180, Bananas 5 × 6 × 6 = 180 and Lemons 5 × 6 × 6 = 180.
Total number of winning combinations:
- Cherry, cherry, other: 4 × 3 × (23-3) = 240
- Other, cherry, cherry: (23-4) × 3 × 3 = 171
- Cherry, other, cherry: 4 × (23-3) × 3 = 240
- TOTAL COMBOS: 651
Cherry in any one reel wins 1 coin. Meaning:
- First Reel: 4 × 20 × 20 = 1600
- Second Reel: 19 × 3 × 20 = 1120
- Third Reel: 19 × 20 × 3 = 1120
- Total: 3,880 combinations.
The table below shows how the machine’s payout percentage is calculated:
|*Winning Combinations||No. of Comb||Win||Payout per Coin||Percent of Payout|
|Three of any other symbols||540||10||5,400||44.51%|
|Any Two cherries||651||3||1,953||16.10%|
|Any One cherry||3,880||1||3,880||31.96%|
The payout percentage for this Slot machine is 99.77 percent. If everything was paid equally at 1 coin, it would go down to just over 42 percent. For more complex reel machines (more reels and multiple lines), the use of a spreadsheet or a computer program will help in calculating the payoff as the number of calculations will grow with complexity.
Slot Machines Have the Highest House Edge
If you are planning to play on Slot machines with the odds of winning set at 95 percent, you will be led to thinking that you can win 95 percent of the times you play at the machine.
However, the fact is that five percent of every dollar you bet will go to the house. For Slots, the house edge is higher than for any other Casino game.
The returns work out only after playing for a longer period. You may win big in a single betting cycle and lose big in another. It is all about getting a profitable average.
Determining the House Edge is Crucial to Know How to Win at Slots
It is often impossible to determine the exact house edge of any given reel machine. Instead, players depend on information that is provided publicly, such as regulated pay off ranges in most states.
In some states, the Gaming Board states that most Slots must have a 73 percent return to the player. Generally, small Slot machines are closer to this threshold than the larger Slot machines. For this reason, it is advisable to skip the penny and nickel Slots if your bankroll allows it.
Think of Slots like a coin flip. If a coin is flipped 10 times, and for the first nine times it lands on heads, what will the tenth flip be? The chances are still 50/50 regardless of the previous results. Slots are exactly the same in that sense.
The Best Casino to Play Slots
The last and the most important thing to know today - where to play Slot machines to have higher chances of winning.
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Most of them have the return to player, paylines, and the number of symbols listed by providers in the Help/Rules/?/Info sections. You can check it out to count the probability of getting a pay you desire.
There is another way to check the payouts, too. By playing the games and seeing how often and how much you win on average when playing a particular Slot.
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Disclaimer: Gambling is a game of chance and there's no sure-fire formula that guarantee winnings. You can improve your winning chances by using the right in-game strategies but there is no way to predict when a machine or a Casino game is going to pay. Also, this page contains affiliate links. If you click through and play, we might earn a commission. That’s what allow us to keep CasinoSmash free and bring you the best online Casino bonuses!
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