a) In a private school students can choose only of French, Spanish or Music as their Elective. In a group of students, the number of males and females studying Spanish, French or Music are given in a...

a) In a private school students can choose only of French, Spanish or Music as their
Elective. In a group of students, the number of males and females studying Spanish,
French or Music are given in a table below

                                Spanish                              French                            Music
Males                           23                                  12                                    26
Females                      12                                   15                                    09


i) Find the probability that a randomly chosen student
a) studies music
b) studies music or is female
c) is male, given that they do not study Spanish

ii) Determine whether the events ‘a randomly chosen student is a male’ and ‘a randomly
chosen student is studying Music’ are independent, justifying your answer.

iii) Two students are randomly selected, without replacement, what is the probability that
the first student studies Spanish and the second student studies French.