(a) Complete the Venn diagram for this information.(3)
A number is chosen at random from \(\mathscr{E}\)
(b) Find the probability that the number is in the set \(X \cup Y\) (2)
Mark scheme (a)
Scheme
Marks
B3
(3)
Notes
B3: fully correct (B2 for three correct regions) (B1 for one or two correct regions) [a repeat in a region is an error]
Mark scheme (b)
Scheme
Marks
\(\dfrac{\text{‘}6\text{’}}{9}\)
M1
\(\dfrac{6}{9}\)
A1
(2)
(5 marks)
Notes
M1: Numerator correct (or value intended as numerator) or correct for their Venn diagram (so long as fraction not improper) or 6 out of 9 or 6 : 9 oe (ie correct values in incorrect form)