In a senior college, 25% of the Year 11 students and 40% of the Year 12 students would

prefer not to wear school uniform. This particular college has 320 Year 11 students and

280 Year 12 students. Find the probability that a randomly chosen student is in Year 11

and is in favour of wearing school uniform. What is the overall percentage of students

who are in favour of wearing school uniform?

Question

Mathematics

Devin Crane

6 March, 15:13

In a senior college, 25% of the Year 11 students and 40% of the Year 12 students would

prefer not to wear school uniform. This particular college has 320 Year 11 students and

280 Year 12 students. Find the probability that a randomly chosen student is in Year 11

and is in favour of wearing school uniform. What is the overall percentage of students

who are in favour of wearing school uniform?

+1

Answers (2)

Know the Answer?

Katelyn · Answer 1

The answer is 408 students

Devin Kelley · Answer 2

Those in favour:

= (Quantity Yr11 Students) (0.75) + (Quantity of Yr12 Students) (0.60)

= (320) (0.75) + (280) (0.60)

=408 students

Probablity of a Year 11 Student:

= (Quantity of Yr11 Students) (0.75) / (Total Students)

= (240) / (600)

=0.4 = 40%

Percentage:

= (Students in favour) / (Total Students)

=408/600

=0.68 = 68%