I have a dataset of 100 numbers. The numbers seem to be random. I wanna find the probability distribution of the dataset. How can I do it mathematically? I would really appreciate a reply.
What you're asking to do is quite broad. Is it possible to choose an exact probability distribution? No - that wouldn't be possible. If you have a list of possible forms of probability distributions then you can choose between them. You can create a density estimate for the probability distribution which might in turn help you decide if you want to try to model it using a parametric form or you could just keep the density estimate as your estimate of the probability distribution directly.
But there are literally an uncountable number of possible probability distributions.