2. The following shows the results of a survey on the types of exercise taken by a group of 100 people. 40 run and swim
65 run
30 swim and cycle
48 swim
35 run and cycle25
60 cycle
do all three
(a) Draw a Venn Diagram to represent these data.
Find the probability that a randomly selected person from the survey
(b) takes none of these types of exercise,
(c) swims but does not run.
(d) takes at least two of these types of exercise.
Jason is one of the above group.
Given that Jason runs,
(e) find the probability that he swims but does not cycle.