) 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.
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
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.
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