I had a problem that said "I throw nine balls randomly in five containers. What's the probability any container will have exactly five balls by the end of the process?"(adsbygoogle = window.adsbygoogle || []).push({});

The answer involved using a Binomial distribution.

Now the question is, how do I train my mind to go to the use of distributions and not basic Kolmogorov probability functions? I was spending so much time trying to find a simple answer and I was surprised it was easier with a binomial distribution. What is the right thought process to easily direct me to the use of a distribution in that problem?

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# Thought process improvement on Probabilities

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