How Do You Calculate Slot Machine Odds for Multiple Kinds in Fixed Positions?

[colinbaker1989]

View attachment 4601

Hi I am creating a slot machine application and am having a lot of trouble calculating the probability of Four of a Kind, Five of a Kind and Six of a Kind for each Position TYPE (A,B,C,D,E,F,G,H)

All of the positions are fixed and remain in the order that can be seen in the above image. The display shows four objects per reel at a time and a randomize function is called per reel to tell the reel movie clips to stop playing.

Any help with this problem would be greatly appreciated.

Kind regards,

Colin Baker

 

[Valkarie]

Calculating the probability of four of a kind, five of a kind and six of a kind will depend on the number of possible combinations for each position type. To calculate the probability of four of a kind, we need to know the number of possible combinations for four of the same objects in that position type. For example, for position type A, this could be 4^4 (4 x 4 x 4 x 4) or 256 possible combinations. Then we divide that number by the total number of possible combinations for all eight positions (position A through H).For five of a kind, we need to know the number of possible combinations for five of the same objects in that position. For example, for position type A, this could be 5^5 (5 x 5 x 5 x 5 x 5) or 3125 possible combinations. Then we divide that number by the total number of possible combinations for all eight positions (position A through H).For six of a kind, we need to know the number of possible combinations for six of the same objects in that position. For example, for position type A, this could be 6^6 (6 x 6 x 6 x 6 x 6 x 6) or 46656 possible combinations. Then we divide that number by the total number of possible combinations for all eight positions (position A through H).Once you have calculated the probabilities for each position type, you can then calculate the overall probability for four of a kind, five of a kind, and six of a kind. To do this, you sum the individual probabilities for each position type and divide by 8 (the total number of positions). This will give you the overall probability of each combination.