Have a probability question I'm not sure how to solve. Hopefully this makes sense:
1) Lets say we have a population of 1000 unique books.
2) First, we take a random sample (without replacement) of 500 of those 1000 books. Lets call this S1.
3) Second, we take another random sample (without replacement) of 750 of those same 1000 books. Lets call this S2.
What is the probability that >=100 books from S2 exist in S1?
What is the probability that <=100 books from S2 exist in S1?
What is the probability that exactly 100 books from S2 exist in S1?