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[GameLink] Napoleon (JDB)
ReelSize: 4x5
Paylines: 50 Line
Provider: JDB
Features: StickyWild、 Independent Reel
When calculating free game, because the probability of each line being stuck by the wild is the same, so the transition matrix of each line is the same, only one line needs to be considered in the calculation.
First calculate the sticky probability of R2~R5, then define 16 possible states and fill in the transition probability, and then calculate the state probability of each spin.
One thing to be clarified here is that before-spin and after-spin state probabilities are different in each spin, so you must figure out whether you are calculating before-spin or after-spin probability. In terms of this spreadsheet is defined before SPIN.
Finally, after weighting the probability of each state of 10/ 15/ 25 free spins, the average probability of each state of the entire free game can be obtained.
After having the probability of each state, go back and calculate the expected payout of each state. After weighting the probability of each state and combos in each state, the average payout of the entire free game can be obtained.
Note: The reel strips used in the par sheet may not be the real strips of the game.
ReelSize: 4x5
Paylines: 50 Line
Provider: JDB
Features: StickyWild、 Independent Reel
Game Instructions
This is a very standard Markov matrix example game, the wild in free game will stick to the reel until the end of the free game.When calculating free game, because the probability of each line being stuck by the wild is the same, so the transition matrix of each line is the same, only one line needs to be considered in the calculation.
Model Descriptions
Base Game
Although it is an independent reels game, the line game is calculated by each reel separately, so the calculation is the same as the non-independent reels. There is a special point that the rules for triggering free games are different from other games. When 2 or more [F] appear on the third reel, the free games will be triggered.Free Game
Free game is divided into two steps to calculate. The first step is to calculate the transfer probability of each wild sticky state.First calculate the sticky probability of R2~R5, then define 16 possible states and fill in the transition probability, and then calculate the state probability of each spin.
One thing to be clarified here is that before-spin and after-spin state probabilities are different in each spin, so you must figure out whether you are calculating before-spin or after-spin probability. In terms of this spreadsheet is defined before SPIN.
Finally, after weighting the probability of each state of 10/ 15/ 25 free spins, the average probability of each state of the entire free game can be obtained.
After having the probability of each state, go back and calculate the expected payout of each state. After weighting the probability of each state and combos in each state, the average payout of the entire free game can be obtained.
Simulation Result
File Download
Parsheet_38 - Napoleon (JDB) Here is the par sheet of this game, if you are interested, you can download the par sheet file for research.Note: The reel strips used in the par sheet may not be the real strips of the game.
[遊戲連結] 拿破崙 (JDB)
滾輪大小: 4x5
連線方式: 50 Line
遊戲開發商: JDB
遊戲特色: 黏性百搭、獨立滾輪
在計算免費遊戲的時候,因為每一條線被百搭黏住的機率是相同的,因此每條線的轉移矩陣都是相同的,計算時只需要考慮一條線就可以了。
首先將R2~R5的百搭黏住機率算出來,接著定義16種可能出現的狀態並填入轉移機率,再去計算每一局的狀態機率。
這邊有一個要搞清楚的地方是,每一局SPIN前及SPIN後的狀態機率是不一樣的,因此一定要弄清楚自己計算的是SPIN前還是SPIN後的機率。以這份試算表來講,我的局數是定義在SPIN前。
最後將10局、15局及25局的各個狀態機率加權過後就可以得到整個免費遊戲的各狀態平均機率了。
有了每個狀態的出現機率之後,再回頭去算每個狀態的期望值。
將各狀態的機率與每個狀態的連線數加權過後就可以得到整個免費遊戲的平均得分了。
注意:試算表中使用滾輪未必為遊戲真實滾輪。
滾輪大小: 4x5
連線方式: 50 Line
遊戲開發商: JDB
遊戲特色: 黏性百搭、獨立滾輪
特色介紹
這是一個很標準的馬可夫矩陣教學範例遊戲,免費遊戲中的百搭會黏在滾輪上直到免費遊戲結束。在計算免費遊戲的時候,因為每一條線被百搭黏住的機率是相同的,因此每條線的轉移矩陣都是相同的,計算時只需要考慮一條線就可以了。
模型說明
主遊戲算法
雖然是獨立滾輪的遊戲,但線的遊戲在計算的時候本來就是每一格都分開看,所以在計算上跟非獨立滾輪一樣。有一個比較特別的地方是觸發免費遊戲的規則跟一般遊戲不同,當第3滾輪出現2個以上[F]的時候,會觸發免費遊戲。免費遊戲算法
免費遊戲分成兩個步驟來算,第一步要先算出每個百搭黏住狀態的轉移機率。首先將R2~R5的百搭黏住機率算出來,接著定義16種可能出現的狀態並填入轉移機率,再去計算每一局的狀態機率。
這邊有一個要搞清楚的地方是,每一局SPIN前及SPIN後的狀態機率是不一樣的,因此一定要弄清楚自己計算的是SPIN前還是SPIN後的機率。以這份試算表來講,我的局數是定義在SPIN前。
最後將10局、15局及25局的各個狀態機率加權過後就可以得到整個免費遊戲的各狀態平均機率了。
有了每個狀態的出現機率之後,再回頭去算每個狀態的期望值。
將各狀態的機率與每個狀態的連線數加權過後就可以得到整個免費遊戲的平均得分了。
模擬結果
檔案下載
模型教學38 - 拿破崙 (JDB) 以上就是這一款遊戲的模型教學,有興趣的可以自行下載試算表研究注意:試算表中使用滾輪未必為遊戲真實滾輪。
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