I was wondering if it is possible to determine the probability of one list of data interacting with another, and what the formula to perform this task would be.

For example:

We have a first list with A, B, C, D, E, F, G, H. You are assigned 2 letters from this list at random.

Then a second list has the same first 8 letters (A-H) plus another 8 from the alphabet (L-S). From this list 3 random letters are given.

I want to know the probability that at least one of my letters (2 from the first list) has matched one of the 3 given from the second list.


Sorry if this question is a bit confusing!