(a) Complete the Venn diagram for this information.(3)
A number is chosen at random from the universal set \(\mathscr{E}\)
(b) Find the probability that this number is in the set \(B'\) (2)
Mark scheme (a)
Answer
Mark
Mark scheme
Venn diagram
B3
for a fully correct Venn diagram
(B2
for two or three of the four regions correct)
(B1
for just one of the four regions correct)
Additional guidance
Ignore all entries except the region you are marking for each method mark
Mark scheme (b)
Answer
Mark
Mark scheme
\(\dfrac{7}{10}\)
M1
(ft diagram) for \(\dfrac{a}{10}\) where \(0 \lt a \lt 10\) and \(a\) is an integer or \(\dfrac{7}{b}\) where \(b \gt 7\) and \(b\) is an integer or \(1 - \dfrac{3}{10}\) or 7 : 10
A1
(ft diagram) for \(\dfrac{7}{10}\) oe
Additional guidance
Repeated digits in the diagram should be counted as 2 elements
