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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 48E
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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. [3]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. 

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