Slot machine Markov chain chance distribution method, 15-frame wheel and axle of the two distribution rules

Betting AmountExpected Value
1 cent92.16%
1 cent progressives85.74%
5 cents95.26%
25 cents93.39%
50 cents93.29%
1 dollar94.23%
5 dollar96.07%

The Markov chain of slot machines is a method of distributing the odds by extending the 15 cells of the slot machine reels to the two distribution rules. If player A and B are about to play a guessing game, their guessing strategies may be divided into two types. Player A’s strategy: 37% cloth, 33% stone, 30% scissors, integrated as 100% of the decision value. Player B’s punching strategy: If the previous punch wins, the same punch will be played in the next round, and if the previous round is a loss or a tie, then the other two punches will be played in the next round, with a 50% chance.

We can see from the above two points that A’s punch is fixed 30% scissors, 33% stone, 37% cloth, but B is to modify his initial method after judgment, so the first punch is 100%, the next one will form 100% winning result or 50% of the two choices of punch, then the formula for calculation is: P(A scissors & B stone) + [P(A non-stone & B cloth) + P( P(A non-cloth & B scissors)]/2 = the probability of the 2nd to 5th B punch, which is the Markov Chain Law.

15 Reels of the Binomial Distribution Method

Let’s imagine a slot machine game divided into 15 independent cells, in the random number sorting game cell may form 3 connection, 4 connection, 5 connection, or 1 cell no connection, 2 cells no connection and other results, then Symbol is divided into B1, B2, B3, B4, B5 five results, Chance’s winning rate of 10%, 15%, 20%, 25%, 30%, then to calculate the single cell boxing rate. The winning rate of Chance is 10%, 15%, 20%, 25%, and 30%, so there are three parameters to calculate the chance of winning a single cell. Parameter 1: The number of patterns opened in each box. Parameter 2: The total number of squares is fixed at 15 for calculation. Parameter 3: Each pattern has a chance of appearing and does not form a fixed pattern when it appears.

In the calculation, we bring in B1~B5=0~15 graphics odds, 10%~30%=the odds of winning, when the game starts to end B1’s grid corresponds to the fixed parameter 2 of 1 of 15, then B1-15 grid-X graphics=Y odds, after the first column area is calculated, enter the second column need to match the first column of 5 graphics odds in conversion, and finally launched After the second column of B2 and B3, the next B4 and B5 will calculate the odds of small to large payouts in each cell.

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