It seems like even if distributions are continuous, I only have an access to the pdf method. However, I need the probability itself, say in [2, 2.0001]. Is there any method that I can call for a point probability? According to the document https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.beta.html, it doesn't seem like to have one.

How do you get the probability at one point, in the most economic way?

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You can use the cdf method.

So the probability of an event occuring in some interval [a,b] is just cdf(b)-cdf(a).