Foundation June 2018 Paper 2R Q12
12 The Venn diagram shows the numbers in the universal set, \(\mathscr{E}\), and two sets \(A\) and \(B\).
(a) List the members of the set
(i) \(A\)
(ii) \(A \cap B\)
(iii) \(A'\)
(3)A number is picked at random from the universal set.
(b) Find the probability that this number is in set \(B\) but not in set \(A\). (2)
| Scheme | Marks |
|---|---|
| 2, 3, 4, 6, 7, 8 | B1 |
| (1) |
Notes
B1: All numbers and no others, in any order
| Scheme | Marks |
|---|---|
| 3, 4 | B1 |
| (1) |
Notes
B1: Both numbers and no others, in any order
| Scheme | Marks |
|---|---|
| 1, 5, 9, 10 | B1 |
| (1) |
Notes
B1: All numbers and no others, in any order
| Scheme | Marks |
|---|---|
| M1 | |
| \(\dfrac{3}{10}\) | A1 |
| (2) | |
| (5 marks) |
Notes
M1: \(\dfrac{3}{n}\) (\(n \gt 3\)) or \(\dfrac{m}{10}\) (\(m \lt 10\))
A1: oe