Of course, my problem is not the die itself. My goal is to asses gene clusters.
Imagine 10000 different genes. Each gene can have the values from 1, 10 or 100 (lets say it depends on their size). So I have:
500 genes with value 1
2000 genes with value 10
7500 genes with value 100
If I look at a certain gene cluster comprising 100 genes with an average value of 2.8 I want to calculate the possibility, that this occures by chance to make a declaration about the clusters exceptionality.
And in this context, possibilities are often <1/10^100.
I compare different clusters compairing the log10 of the reciprocal possibility.
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