Confusion regarding which distribution Monte Carlo considers for sampling

Considering Bayesian posterior inference, which distribution does Monte Carlo sampling take samples from: posterior or prior?

Posterior is intractable because the denominator (evidence) is an integration over infinite theta values. So, if Monte Carlo samples from posterior distribution, I am confused as to how the posterior distribution is known as it is intractable. Could someone please explain me what I am missing?

If Monte Carlo samples from prior distribution, how does the samples approximate to posterior distribution?

Topic monte-carlo bayesian

Category Data Science

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