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TOPIC 14

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  1. TOPIC 14 Venn Diagrams

  2. Venn Diagrams Another approach to answering PROBABILITY questions is to use a VENN DIAGRAM. Example 1 Draw a Venn diagram to show the following information. In a group of 30 students, 15 play chess, 10 play snooker and 6 play both. Use your diagram to find: • The probability that a student chosen at random from the group plays snooker. • The probability that the student plays both chess and snooker. • The probability that the student plays neither chess nor snooker.

  3. Venn Diagrams S C Answer 1 • P(S) = 10 = 1 30 3 • P(C and S) = 6 = 1 30 5 • P(neither) = 11 30 9 4 6 11

  4. Venn Diagrams Example 2 In a school sixth form 12% of the students are left-handed, 15% of the students wear glasses, and 3% are both left handed and wear glasses. • Given that a student wears glasses, find the probability that they are left-handed. • What is the probability that a left-handed student also wears glasses?

  5. Venn Diagrams G L Answer 2 • P(L|G) = 3 = 1 15 5 • P(G|L) = 3 = 1 12 4 9% 12% 3% 76%

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