Find the probability that a rv is equal to its order statistics $P(X_i = Y_j)$

Question

Let $X_i$, $i=1...n$ be independent non identically distributed random variables and let $Y_i$ be its order statistics.

I want to find the probability that $X_i$ is equal to $Y_j$ for each i, j

$i.e., \mathbb{P}(X_i = Y_j)$.

It was easy to find the distributions of order statistics, but I cannot go further. Anyone can help?

Thanks.