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. Determine whether the events ‘a randomly chosen student is a male’ and ‘a randomly chosen student is studying Music’ are independent, justifying your answer.  ii. Two students are randomly selected, without replacement, what is the probability that the first student studies Spanish and the second student studies French.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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. Determine whether the events ‘a randomly chosen student is a male’ and ‘a randomly chosen student is studying Music’ are independent, justifying your answer. 

ii. 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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