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Subject: Game Mechanics and Probability in STUFFED rss

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Cassandra Thompson
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I just played stuffed, a game I backed on KS. The game mechanics struck me as highly improbable. I was hoping some brains trust might help me with the math.

The game has 8 dice (with 5 different symbols, one symbol is duplicated).
I.e. Each die has sides: A, A, B, C, D, E

The player needs to copy a six dice code, in order to get something.
E.g. A-B-B-C-C-E

The player can reroll up to 7 of the dice (once per turn).

What are the chances of fulfilling the code?

Anyone out there that likes this sort of math? I hesitate to admit that a long time ago I studied math at uni and loved it, but I have 5 sheets of scribble on my desk in front of me as I try to remember how probability works.
 
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Chris Nash
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Clarification needed first:

You say it's a 6 dice code, but list a 7 dice code. Which is it?

Does each die have the same symbol repeated, or does the repeated symbol change across the dice?

How is the 6-dice code generated, is it using cards with a particular distribution etc? It matters because if the repeated symbol is always used twice etc, it will affect the probabilities.
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Cassandra Thompson
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Nashman88 wrote:
Clarification needed first:

You say it's a 6 dice code, but list a 7 dice code. Which is it?

My mistake, it is a 6-dice code. I have edited the OP.


Nashman88 wrote:

Does each die have the same symbol repeated, or does the repeated symbol change across the dice?

Each die is exactly the same.

Nashman88 wrote:

How is the 6-dice code generated, is it using cards with a particular distribution etc? It matters because if the repeated symbol is always used twice etc, it will affect the probabilities.

There are only 8 cards (2 on display at a time). The designer appears to have chosen a the 8 combinations at random.
 
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Chris Nash
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What are the combinations? It doesn't really matter about the symbols, but I think the number of symbols which are on 1 die side and the number of symbols which are on 2 die sides for each code is needed.

Does that make sense?
 
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