Foundation January 2019 Paper 2R Q19
19 Here is a Venn diagram with \(\mathscr{E} = \{\text{whole numbers from 1 to 12}\}\)
(a) List the numbers that are in set \(A\) (1)
(b) List the numbers that are in set \(A \cap B\) (1)
(c) List the numbers that are in set \((A \cup B)'\) (1)
One of the numbers in the Venn diagram is chosen at random.
(d) Find the probability that this number is in set \(A \cup B\) (2)
| Scheme | Marks |
|---|---|
| 2, 4, 6, 8, 10, 12 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 8, 10, 12 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 1, 3, 5 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| M1 | |
| \(\dfrac{9}{12}\) | A1 |
| (2) | |
| (5 marks) |
Notes
M1: for 9 or \(\dfrac{m}{12}\) (\(m \lt 12\))
A1: oe