Higher June 2019 Paper 3 Q22

AQACurrent spec2 marksBasic ProbabilitySets

22 \(\xi\) = 29 students in a class

C = students who own a cat

D = students who own a dog

Venn diagram: C only 5, C and D 8, D only 7, outside both circles 9
(a) A student is chosen at random.

Circle the probability that the student owns a cat or a dog but not both. [1 mark]

  • \(\dfrac{12}{29}\)
  • \(\dfrac{13}{29}\)
  • \(\dfrac{15}{29}\)
  • \(\dfrac{20}{29}\)
(b) A student who owns a dog is chosen at random.

Circle the probability that the student also owns a cat. [1 mark]

  • \(\dfrac{7}{15}\)
  • \(\dfrac{8}{15}\)
  • \(\dfrac{7}{29}\)
  • \(\dfrac{8}{29}\)