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   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 thatthe first student studies Spanish and the second student studies French.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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  

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 thatthe first student studies Spanish and the second student studies French.

Spanish
French
Music
Total
Males
23
12
26
61
Females
12
15
09
36
Total
35
27
35
97
Transcribed Image Text:Spanish French Music Total Males 23 12 26 61 Females 12 15 09 36 Total 35 27 35 97
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