(a)[1]
Write the shaded region using set notation.
(b)[1]
Determine $n((P \cap G) \cup M')$.
(c)[2]
Find the probability that this student also studies physics or mathematics, but not both.
Mathematics 0580 · IGCSE · Sets
Sets — practice question
A class of $40$ students is represented in a Venn diagram for physics ($P$), mathematics ($M$) and geography ($G$).
The diagram contains $4$ in $P$ only, $11$ in $M$ only, $6$ in $G$ only, $2$ in $P \cap M$ only, $3$ in $P \cap G$ only, $5$ in $M \cap G$ only, and $9$ in $P \cap M \cap G$.
The shaded area contains everything in $M$ and everything in $G$, apart from the region that belongs only to $P$.