I have a problem with the subject of "Expected Probability" (I don't really know what is the right name for it).
This is an example of a question: (I am not looking for the specific answer, just for the idea)
What is the probability to withdraw 2 white balls (without returning) from a bucket, that contain X white balls and 120-X black balls. when X is a random variable.
from what I understand, I should represent the probability as function of X and then to get the expected value of it.
P(two white) → X(X-1)/(120∙199) → E(X(X-1)/(120∙199))
is this correct? what am I really doing here? maybe you can forward me to a relevant place that I can read about this subject ?