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I have taken a probability course a year ago; however my mind is a bit rusty and I cannot recall the concepts. I want to be able to calculate the probability distribution function for the following question:

Suppose you have a tedrahedron with number 1,2,3,4 on respective faces. If you roll 10 such tetrahedrons 100 times, what will the mean value of the number and the variance we get. Plot the distribution as a function of number.

I think I can think of the outcomes as 10 tuples each having probabiliy (1/4)^10 and calculate the expectation value from this approach, yet I am not sure that this will work. Do you have any suggestions recommendations?

Thanks in advance

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# Probability of Multiple Tetrahedron Rolling Multiple Times

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