I have a the task: In shooting competitions, the shooter shoots n targets. The event $\Pi_i$, $i = 1,2,..., n$ is that the shooter misses when shooting at the $i$-th target. What is the event $(\bar{\Pi}_2 \cap \bar{\Pi}_4) \cap (\cap_{i=1}^n \bar{\Pi}_i)$?
I have a problem with solution because one can see the $\bar{\Pi}_2$ and $\bar{\Pi}_4$ twice: in the first brakets and in second brakets too.
Is the task correct?