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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?​

Answer :

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%
The answer is 408 students

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