July 24th, 2024 at 9:11:06 PM
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Hi,

Does anyone know how to calculate cascading video game total events?

I did a simulation to list down the winning combination (cluster) hits, but I don't know how to calculate the total events( including both winning and non-winning combinations), so I can't calculate the probability of each winning cluster(combination)

it is a 4x5 grid ( 4 columns * 5 rows )

Symbol/Quantity

A/15

J/25

Q/25

K/25

cake1/10

cake2/10

Jackpot/10

Wild/9

scatter/5

Thanks

Does anyone know how to calculate cascading video game total events?

I did a simulation to list down the winning combination (cluster) hits, but I don't know how to calculate the total events( including both winning and non-winning combinations), so I can't calculate the probability of each winning cluster(combination)

it is a 4x5 grid ( 4 columns * 5 rows )

Symbol/Quantity

A/15

J/25

Q/25

K/25

cake1/10

cake2/10

Jackpot/10

Wild/9

scatter/5

Thanks

July 25th, 2024 at 1:38:50 AM
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To calculate the total events for a cascading game on a 4x5 grid, use the multinomial coefficient formula:

𝑛!/(𝑛1!×𝑛2!×…×𝑛𝑘!)n!

Here, 𝑛 equals the total symbols (20), and 𝑛1,𝑛2,...,𝑛𝑘 are the quantities of each symbol you've listed. This will give you the total layouts, including both winning and non-winning combinations. Divide the number of winning combinations by this total to get the probability of each winning cluster.

𝑛!/(𝑛1!×𝑛2!×…×𝑛𝑘!)n!

Here, 𝑛 equals the total symbols (20), and 𝑛1,𝑛2,...,𝑛𝑘 are the quantities of each symbol you've listed. This will give you the total layouts, including both winning and non-winning combinations. Divide the number of winning combinations by this total to get the probability of each winning cluster.

July 25th, 2024 at 11:20:50 PM
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thanks.

so the formula 𝑛!/(𝑛1!×𝑛2!×…×𝑛𝑘!)n! = 1/(𝑛1!×𝑛2!×…×𝑛𝑘!) ?

so the formula 𝑛!/(𝑛1!×𝑛2!×…×𝑛𝑘!)n! = 1/(𝑛1!×𝑛2!×…×𝑛𝑘!) ?

Quote:MolossusTo calculate the total events for a cascading game on a 4x5 grid, use the multinomial coefficient formula:

𝑛!/(𝑛1!×𝑛2!×…×𝑛𝑘!)n!

Here, 𝑛 equals the total symbols (20), and 𝑛1,𝑛2,...,𝑛𝑘 are the quantities of each symbol you've listed. This will give you the total layouts, including both winning and non-winning combinations. Divide the number of winning combinations by this total to get the probability of each winning cluster.

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