Probability Algorithms of Simple vs. Betting Slot Machines

Ritu77

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Currently, many games prefer using slot machine-style activities. This is not only because the gameplay of slot machines is simple, but also because slot machines have a very high completion rate for achieving game objectives, especially in activities that consume in-game resources. The effect is very considerable.

1. Simple Slot Machines
Simple slot machines are mainly composed of three reels and a lever. Each reel has several different symbols. By inserting coins and pulling the lever, you win when the symbols on all three reels match. Calculating the probability for this type of machine is the simplest.

First, assume that each reel has N different symbols. The probability of getting the same symbol on all three reels is 1/ (N^3) * N = 1/(N^2). For example, when each reel has three different symbols like apples, oranges, and watermelons, the probability of getting three apples is 1/3*1/3*1/3 = 1/27. Similarly, the probability of getting three oranges or three watermelons is also 1/27. Adding the probabilities of the three winning combinations gives a total probability of 1/27 * 3 = 1/9 = 11.11%. This winning probability is relatively high, but generally, businesses do not set up machines with three different symbols. Typically, there are 7 or 11 symbols or even more, which reduces the winning probability to 2.04% or 0.83%.

If there are m reels, then the general formula for this winning probability is 1/ (N^(m-1)).

2. Betting Slot Machines (Fruit Machines)
The more common slot machines we see on the market are fruit machines, which include symbols like apples, oranges, mangoes, bells, watermelons, double stars, double sevens, and black BAR. By betting on different symbols and spinning the fruit machine, you can win corresponding multipliers and sometimes trigger special bonuses. Since this part involves human control and is not based on pure randomness, it is not included in this discussion. Below, we will discuss how to bet on these types of slot machines to ensure the highest winning probability.

In this case, we found that in pure random probability, if we put all 100 points into BAR2, we can get the maximum return, which means putting in 100 points will yield 227.27 points. So, according to this natural probability, as long as we bet the maximum every time, we can either win and walk away with the money or double the bet when we lose. Within a predictable range, we will always make a profit.

However, slot machine manufacturers do not allow this situation to exist. In reality, slot machines pay out based on how much money the machine has collected, meaning they are manually adjusted for probability. So when we play, most of the time, we end up losing.

Samiksha

"Algorithms are also something you can delve into."

Kahn332

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