International students enrolment in 2019 is cross-classified by three course levels
and their gender in the contingency table below:
Course level Male Female TOTAL
Masters 40 31 71
Post-graduate Diploma 11 12 23
Graduate Diploma 118 311 429
TOTAL 169 354 523
If a student is selected at random from this sample, what is the probability that:
(i) the student is enrolled in a Post-graduate Diploma program? (2 marks)
(ii) the student is a male enrolled in a Masters program? (2 marks)
(iii) the student is enrolled in the Masters program and the Graduate Diploma
program? (2 marks)
(iv) the student is a female or Graduate Diploma? (2 marks)
(v) If a student selected at random is a female student, what is the probability that
she is enrolled in a Masters program? (2 marks)