CAIE S1 2019 November — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2019
SessionNovember
TopicIndependent Events
TypeIndependence in contingency tables

1 There are 300 students at a music college. All students play exactly one of the guitar, the piano or the flute. The numbers of male and female students that play each of the instruments are given in the following table.
GuitarPianoFlute
Female students623543
Male students784042
  1. Find the probability that a randomly chosen student at the college is a male who does not play the piano.
  2. Determine whether the events 'a randomly chosen student is male' and 'a randomly chosen student does not play the piano' are independent, justifying your answer.