In a secondary school, there are 400 male students and 600female students. 50% of the male students and 55% of the femalestudents are in senior secondary curriculum, the others are injunior secondary curriculum. The school had appointed 8% of seniormale students and 10% of senior female students to be the studentleaders. No junior secondary student can be student leader.
(a) If a student is selected at random in the school, find theprobability that
(i) the student is a senior student.
(ii) the student is a female student leader.
(b) Suppose a student is selected and known to be NOT a studentleader, what is the probability that
(i) the student is a male student.
(ii) the student is a senior female student.