A Venn diagram is displayed. In a class of 30 students, 25 take French (F) and 18 take Spanish (S). One student takes neither French nor Spanish.
(a(i))[2]
Find the number of students who study both French and Spanish.
(a(ii))[1]
One student is selected at random from the 30. Find the probability that this student studies French but not Spanish.
(a(iii))[1]
A student who does not study Spanish is chosen at random. Find the probability that this student studies French.
(b)[1]
For this Venn diagram, shade the region $R \cap (P \cup Q)'$.
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