There is a chess board that is 8*8 grid. A rook is attacking another piece if they are on the same row or column.
1.Eight rooks are being randomly set up on an empty chess board. What is expected value of the number of the "threatened" rooks?
- An unlimited number of rooks are being randomly organized until there is a rook who is being "threatened". What is the cumulative distribution function of the number of rooks that were placed on the board?
I have problem solving the second part... I am not sure how to solve it and what is the support of this random variable... Which kind is the random variable? Is there something that is suitable even? And can I say that from (including) the 9th rook the probability is 1?