11 140 people are asked if they have a bicycle (B) or a car (C).
22 people only have a bicycle.
72 people only have a car.
29 people have both a bicycle and a car.
(a) Show this information on the Venn diagram.
[1]
(b)
(i) How many people do not have a bicycle or a car? [1]
(ii) Write your answer in the correct place on the Venn diagram. [1]
(c) One of the 140 people is chosen at random.
Work out the probability they have a car. [2]
Mark scheme (a)
Answer
Marks
Part marks and guidance
1
In this part, condone b(i) misplaced
Mark scheme (b)
Answer
Marks
Part marks and guidance
(i) 17
1
(ii) 17 in correct place on diagram
1
FT their (b)(i)
Not strict FT as they may have started again
Mark scheme (c)
Answer
Marks
Part marks and guidance
\(\dfrac{101}{140}\) oe
2
FT \(\dfrac{\textit{their } 72 + \textit{their } 29}{140}\)
M1 for their 72 + their 29 may be implied by 101
their 72 + their 29 must be \(\lt 140\) for 2 or 1 mark
Accept 0.721 or 72.1% isw an incorrect simplification of their correct probability or incorrect conversion to decimal or percentage Do not accept ratio
