2025 SJI PRELIMS P1 Q15

\(\mathcal E=\{x\in\mathbb Z:1\leq x<25\}\), \(P=\{x:x\text{ is a multiple of}\hspace{0.5em}3\}\), and \(R=\{x:(x-3)(x-7)=0\}\).

1. List the elements in \(P\cap R'\).[2]
2. A number \(q\) is chosen at random from \(\mathcal E\). Find \(P(q\in P\cup R)\).[2]