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[GameLink] Disco Danny (NetEnt)
ReelSize: 3x3
Paylines: 5 Line
Provider: NetEnt
Features: Hold&Spin, FullReward
In the Hold&Spin feature, players can decide when to press SPIN according to their own game rhythm, which is also the origin of this name.
Most of the Hold&Spin featured games are 3x5 independent reels, each reel will only show the payout symbol or empty, after turning to the payout symbol or locked on the reel, until the full reel or the end of the free game.
The game generally starts with 3 free spins. As long as you win 1 payout symbol, the number of games will be reset back to 3 spins, so the number of spins you experience is different each free game.
First of all, the Markov matrix is not difficult to calculate. The difficulty lies in determining the state. If the state is set well, the subsequent calculations can reduce a lot of problems.
In this game, each reel will have 0~3 lock symbols, and then the remaining spins will be 0~3 spins. So there are 4*4*4*4=256 states in total.
After deciding the state, the next step is to calculate the probability of each state transition. The probability of transferring the number of scatter symbols for each reel is sorted out and represented by a red background in the spreadsheet.
There is one thing to pay attention to, when we define the state, we only consider the number of locked symbols on the reel, and do not consider the top, middle, and bottom of the locked position, so we must allow the transfer probability of these three situations are the same.
No matter where the lock symbol appears, the number of times it appears on the reel is the same, that is, the numbers in the three cases of orange and yellow backgrounds must be the same.
The next step is to calculate the probability of each state transition, because the number of spins after full is not important, so the states 253 to 256 can be deleted, the full game can only be represented by the state 252. The transfer matrix is represented by the green background area.
Then free game will initially have 3 scatter symbols, one for each reel, so the starting state is 84, and the starting state of the second round will start from 0, so play 18 (6*3) for these two situations And 27 (9*3) spins, which is the theoretical maximum number of free spins, you can get the probability of ending in each state. This is represented by a blue background.
Finally, calculate the average payout separately for the number of rounds of the free game, and then add them together to get the average payout of the free game. It is represented by a purple background.
Note: The reel strips used in the par sheet may not be the real strips of the game.
Parsheet_11 - Disco Danny (NetEnt)
[GameLink] Disco Danny (NetEnt)
ReelSize: 3x3
Paylines: 5 Line
Provider: NetEnt
Features: Hold&Spin, FullReward
Game Instructions
When talking about the feature of Hold&Spin, everyone may first think of the Lock It Link (WMS) series of games, but the series of gameplay is a little more complicated, so I chose another version that is more suitable for teaching.In the Hold&Spin feature, players can decide when to press SPIN according to their own game rhythm, which is also the origin of this name.
Most of the Hold&Spin featured games are 3x5 independent reels, each reel will only show the payout symbol or empty, after turning to the payout symbol or locked on the reel, until the full reel or the end of the free game.
The game generally starts with 3 free spins. As long as you win 1 payout symbol, the number of games will be reset back to 3 spins, so the number of spins you experience is different each free game.
Model Descriptions
Base Game
Base game is a general 5-line game. There is a golden scatter symbol to get the payout directly, and the payout of mix symbol. The payout symbol will only show a total bet of 10x or 20x, and a separate table is required.Free Game
Free game is more complicated. The symbol lock will use the Markov matrix, and you can replay another round after the reel is full, and there will be an extra multiplier when free game is over. The following will explain one by one.First of all, the Markov matrix is not difficult to calculate. The difficulty lies in determining the state. If the state is set well, the subsequent calculations can reduce a lot of problems.
In this game, each reel will have 0~3 lock symbols, and then the remaining spins will be 0~3 spins. So there are 4*4*4*4=256 states in total.
After deciding the state, the next step is to calculate the probability of each state transition. The probability of transferring the number of scatter symbols for each reel is sorted out and represented by a red background in the spreadsheet.
There is one thing to pay attention to, when we define the state, we only consider the number of locked symbols on the reel, and do not consider the top, middle, and bottom of the locked position, so we must allow the transfer probability of these three situations are the same.
No matter where the lock symbol appears, the number of times it appears on the reel is the same, that is, the numbers in the three cases of orange and yellow backgrounds must be the same.
The next step is to calculate the probability of each state transition, because the number of spins after full is not important, so the states 253 to 256 can be deleted, the full game can only be represented by the state 252. The transfer matrix is represented by the green background area.
Then free game will initially have 3 scatter symbols, one for each reel, so the starting state is 84, and the starting state of the second round will start from 0, so play 18 (6*3) for these two situations And 27 (9*3) spins, which is the theoretical maximum number of free spins, you can get the probability of ending in each state. This is represented by a blue background.
Finally, calculate the average payout separately for the number of rounds of the free game, and then add them together to get the average payout of the free game. It is represented by a purple background.
Simulation Result
File Download
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.
Parsheet_11 - Disco Danny (NetEnt)
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