Foundation January 2023 Paper 2R Q12
12 30 children were asked whether they have a cat (\(C\)) or a dog (\(D\))
Of the 30 children
5 have both a cat and a dog
13 have a dog
11 have only a cat
(a) Complete the Venn diagram.
(3)

One of the children is picked at random.
(b) Find the probability that this child
(i) has a dog, (1)
(ii) does not have a dog and does not have a cat. (1)
| Scheme | Marks |
|---|---|
![]() Answer: Correct Venn diagram | B3 |
| (3) |
Notes
B3: for all sections completed correctly
If not B3 then award
B2 for 3 correct sections
B1 for 1 or 2 correct sections
| Scheme | Marks |
|---|---|
(i) Answer: \(\dfrac{13}{30}\) | B1 |
(ii) Answer: \(\dfrac{6}{30}\) | B1 |
| (2) | |
| (5 marks) |
Notes
B1: oe, ft their Venn diagram
B1: oe, ft their Venn diagram
