Edexcel S1 2012 January — Question 6

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2012
SessionJanuary
TopicPrinciple of Inclusion/Exclusion
TypeStandard Survey to Venn Diagram
  1. The following shows the results of a survey on the types of exercise taken by a group of 100 people.
65 run
48 swim
60 cycle
40 run and swim
30 swim and cycle
35 run and cycle
25 do all three
  1. Draw a Venn Diagram to represent these data. Find the probability that a randomly selected person from the survey
  2. takes none of these types of exercise,
  3. swims but does not run,
  4. takes at least two of these types of exercise. Jason is one of the above group.
    Given that Jason runs,
  5. find the probability that he swims but does not cycle.
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