Foundation January 2023 Paper 2R Q12

EdexcelFoundationCurrent spec5 marksBasic ProbabilitySets

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.
Venn diagram: a rectangle for the universal set containing overlapping circles C and D, with a dotted answer line in each of the four regions
(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)