16 120 people who visited a sports centre were asked if they went swimming (\(S\)), played basketball (\(B\)) or used the gym (\(G\)).
Their answers showed that
28 people went swimming 16 people played basketball 27 people used the gym 3 people went swimming and played basketball 5 people played basketball and used the gym 7 people went swimming and used the gym 2 people went swimming, played basketball and used the gym
(a) Using this information, complete the Venn diagram to show the number of people in each region of the Venn diagram.(3)
One of the people who went swimming is chosen at random.
(b) Find the probability that this person also played basketball. (1)
Mark scheme (a)
Scheme
Marks
M1
M1
A1
(3)
Notes
M1: for 2 in the middle and one from 1 or 3 or 5 in the correct place in the Venn diagram
M1: for any 4 correct entries
A1: for a fully correct answer including 62 outside the circles inside the rectangle
