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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)
  1. 6 March, 16:37
    0
    The answer is 408 students
  2. 6 March, 17:41
    0
    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%
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