Slot machines online consist primarily of three reels, a pull down lever, and several different patterns inside each reel. Coins are put in, the lever is pulled down, and the jackpot is won when all three reels have the same pattern. The calculation of this probability is also the simplest.
First of all, there are N different patterns inside each reel, then the probability of the three reels having the same pattern is 1/(N^3)*N=1/(N^2), for example, when there are three different patterns of apples, oranges, and watermelons inside each reel, the probability of three apples is 1/3*1/3*1/3=1/27, and similarly the probability of three oranges and three watermelons is 127, the probability of three winners is 1/3, and the probability of three winners is 1/3, and the probability of three winners is 1/3. The sum of the three jackpots is 1/27*3=1/9=11.11%, which is a relatively high probability of winning, but the slot machine is set up to have not only three different patterns, but generally 7 to 11 patterns or even more, so the probability of winning is only 2.04% or 0.83%.
If the number of reels is m, then the generalized formula for this winning probability is 1/(N^(m-1)).
Slot machine algorithm
The first thing to note is that slot machines have no memory. The computer doesn't know whether the player won or lost, whether he just started playing 5 minutes ago or has been playing for hours. All combinations are determined by a mathematical algorithm.
One important point is that the results of the game are not pre-planned or logically organized: they are just a series of combinations. A person may have the possibility of winning two progressive jackpots in a row, although the likelihood of this is negligible. However, this possibility arises as an impossibility because the number of possible combinations generated by the program is very large, and each of them contains 32 hexadecimal characters.
The algorithmic mechanism of the slot machine sends out one hundred random numbers per minute when the player starts playing the game and they will create a specific combination. The number chosen by the randomizer when the toy clicks the button determines the characters displayed on the screen. Therefore, the only way the player can “influence” the outcome of the game is by choosing when to press the button. In fact, this is entirely a matter of luck, and there are no rules. As soon as the result appears on the screen, the system calculates whether the player has won or lost and by how much, and updates their balance information. The same mechanism is followed during the free spins and bonus rounds.