In a year 10 Maths class, there are 30 students. Each student is either 15 or 16 years old, and either left- or right-handed. The ratio of right-handed students to left-handed students is 4 : 1, the ratio of 15 year olds to 16 year olds is 1: 2 and the ratio of left-handed 15 year olds to left-handed 16 year olds is 1:5. If the names of the students in this class are placed in a hat and one is selected at random, what is the probability that the student selected is 15 years old and right-handed? (A) 30 1 3 (B) (C) 10 (D) ; (E)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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14. In a year 10 Maths class, there are 30 students. Each student is either 15 or 16 years
old, and either left- or right-handed.
The ratio of right-handed students to left-handed students is 4:1, the ratio of 15 year
olds to 16 year olds is 1: 2 and the ratio of left-handed 15 year olds to left-handed
16 year olds is 1:5.
If the names of the students in this class are placed in a hat and one is selected
at random, what is the probability that the student selected is 15 years old and
right-handed?
1
(B) 6
3
(D) 5
(E)
1
(A)
30
(C)
10
Transcribed Image Text:14. In a year 10 Maths class, there are 30 students. Each student is either 15 or 16 years old, and either left- or right-handed. The ratio of right-handed students to left-handed students is 4:1, the ratio of 15 year olds to 16 year olds is 1: 2 and the ratio of left-handed 15 year olds to left-handed 16 year olds is 1:5. If the names of the students in this class are placed in a hat and one is selected at random, what is the probability that the student selected is 15 years old and right-handed? 1 (B) 6 3 (D) 5 (E) 1 (A) 30 (C) 10
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