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

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Discussion Overview

The discussion revolves around calculating probabilities related to the sum of outcomes when rolling a 3-sided die (with faces marked 0, 1, and 2) multiple times. Participants explore whether general formulas exist for specific probability questions, such as the probability of achieving a certain sum after a set number of rolls.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires about general formulas for calculating the probability of specific sums after rolling a 3-sided die 100 times.
  • Another participant suggests that there are indeed general formulas available for such calculations.
  • A different participant mentions finding some formulas on Wikipedia but expresses a belief that the problem should be simpler, akin to the binomial distribution.
  • One participant notes that a previous response did not provide a complete answer to the original inquiry.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the availability or simplicity of the formulas for the probability questions posed. Multiple views on the existence and complexity of the formulas remain present.

Contextual Notes

There is uncertainty regarding the completeness and applicability of the formulas mentioned, as well as the assumptions underlying the calculations for the specific scenarios presented.

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."
 
Last edited:

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