Lets say I have 18 independant events

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SUMMARY

This discussion centers on calculating the probabilities of outcomes from 18 independent events, where each event can result in scores of 0, 1, or 2 with respective probabilities of 0.5, 0.333, and 0.167. The multinomial distribution is identified as the appropriate statistical tool for this scenario, as it accommodates multiple outcomes per event. The user, Andrew, seeks guidance on how to compute the probabilities for all possible scores ranging from 0 to 36, emphasizing the need for a trinomial approach due to the three possible outcomes.

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  • Concept of independent events in probability
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This discussion is beneficial for statisticians, data analysts, and anyone involved in probability theory, particularly those interested in calculating complex outcomes from multiple independent events.

WSAR
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Hi all,

I've a problem. Let's say I have 18 independent events. The outcome of each event could be 0, 1 or 2, with a probability of 0.5, 0.333 & 0.167, respectively. I want to know the easiest way to calculate the probability of achieving all scores between 0 & 36. As there's more than a 0 or 1 (or yes/no) answer I can't use the binomial distribution. Any help would be greatly appreciated.

Regards

Andrew
 
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