A fair die is rolled. Consider events $E = \{1, 3, 5\}$, $F = \{2, 3\}$ and $G = \{2, 3, 4, 5\}$. Find (i) $P(E|F)$ and $P(F|E)$ (ii) $P(E|G)$ and $P(G|E)$ (iii) $P((E \cup F)|G)$ and $P((E \cap F)|G)$.
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