The Venn diagram gives data on the number of students who take Music (M), Drama (D) and Geography (G). The values shown are 5 in M only, 8 in D only, 12 in G only, 3 in $M \cap D$ only, 4 in $M \cap G$ only, 9 in $D \cap G$ only, and 2 in all three.
(a(i))[1]
How many students study Music?
(a(ii))[1]
How many students study exactly two subjects?
(a(iii))[3]
Two students are selected at random from those who study Drama. Calculate the probability that both of them also study Music.
(a(iv))[1]
On the Venn diagram above, shade $M \cap D'$ .
(b(i))[4]
Use this information to finish the Venn diagram below.
(b(ii))[1]
Use your Venn diagram to complete the statement. $B = \{\text{[BLANK]}\}$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Final answer $14$” …