$\mathcal{E}=\{2,3,4,5,6,7,8,9,10,11,12\}$, while $A=\{x:x\text{ is prime}\}$, $B=\{x:x\text{ is even}\}$, and $C=\{x:x\text{ is a multiple of }5\}$.
(a(i)(a))[1]
List the elements contained in $B\cap C$.
(a(i)(b))[1]
List the elements belonging to $(A\cup B\cup C)'$.
(a(i)(c))[1]
List the elements in $A\cap B'$.
(a(ii))[1]
Find the probability that $q$ lies in $A\cap B'$.
(b(i))[2]
Find the matrix $2X+Y$.
(b(ii))[2]
Find the inverse matrix $Y^{-1}$.
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