Probability of Sum in 3-Side Die: Answers Needed!

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The discussion revolves around calculating probabilities related to the sum of outcomes from rolling a 3-sided die marked with 0, 1, and 2. The user seeks general formulas to determine the probability of achieving a specific sum (120) after 100 rolls, as well as the probability of the sum being greater than or equal to 120. While some general formulas exist, the user notes that they are more complex than expected, similar to those used in binomial distributions. Additional resources, including a Wikipedia page on dice probability, are mentioned but do not provide complete answers. The conversation highlights the need for clearer explanations or formulas for these specific probability questions.
encapuchado
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Hi,

I've looking in the internet but I can't find a straight answer.

The problem is this:

Suppose we have a 3-side die (faces marked 0, 1, and 2).

Are there general formulas to answer questions such as:

a) "After throwing the die 100 times, get the probability of the sum being 120"?
b) "After throwing the die 100 times, get the probability of the sum being greater or equal to 120"?

Any help is appreciated.


P.S. This is not homework, I'm too old to be a student ;-)
 
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I saw the message and he/she doesn't have a complete answer.
 
Neither do I. What I can tell you is, "yes, there are such general formulas."
 
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