What is the name of a binomial-type distribution, but with different probabilities of success for different attempts?

Question

Mathematics

For example, 3 attempts were made (anything):
the probability of success in the 1st attempt is 0.1,
the probability of success in the 2nd attempt is 0.2,
the probability of success in the 3rd attempt is 0.3.
What is the probability of exactly two successes?
I know how to calculate it. The question is different.
What is the name of this distribution?

Answer 1

The closest thing to your question is the Poisson binomial distribution. ( Poisson binomial distribution )