Foundation November 2020 Paper 1 Q14
14 The numbers from 1 to 14 are shown in the Venn diagram.
(a) List the members of the set \(A \cap B\) (1)
(b) List the members of the set \(B'\) (1)
A number is picked at random from the numbers in the Venn diagram.
(c) Find the probability that this number is in set \(A\) but is not in set \(B\). (2)
| Scheme | Marks |
|---|---|
| 2, 4, 6, 12 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 5, 7, 8, 9, 10, 11, 13, 14 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| M1 | |
| \(\dfrac{3}{14}\) | A1 |
| (2) | |
| (4 marks) |
Notes
M1: for \(\dfrac{a}{14}\) with \(a \lt 14\) or \(\dfrac{3}{b}\) with \(b \gt 3\) or for 3 and 14 used with incorrect notation e.g. 3 : 14
A1: for \(\dfrac{3}{14}\) oe or 0.214(…)