Yes this is homework and no I'm not looking for direct answers, just tips or some clairification on how to do this problem since it doesn't make sense to me and my professor didn't explain it very well. It says
Let $U_{(1)},...,U_{(n)}$ be the values of $n$ independent uniform $(0,1)$ random variables arranged in increasing order. Let $0\le x\lt y\le 1$. Find and justify a simple formula for $P(U_{(1)} \gt x$ and $U_{(n)} \lt y)$.
I just really don't know what to do or how to interpret this. Thanks!