# The table below shows the number of students in each class in a school. The percentage (%) of the students in each class who wear glasses is also shown.

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The table below shows the number of students in each class in a school. The percentage (%) of the students in each class who wear glasses is also shown.

 Class Form 1 Form 2 Form 3 Form 4 Number of students 60 56 44 40 Percentage (%) with glasses 10% 12.5% 25% 17.5
1. A student is chosen at random from the school.
Determine the:
1. probability that the student is in form 4.
2. probability that the student wears glasses.
2. Two students are chosen at random from the school.
Determine the:
1. probability that one of the two students is in form 1 while the other student is in form 4.
2. probability that one of the students is in form I while the other is in form 4 and both wear glasses.

selected

1.  1. P(F4)= 40  = 0.2
200
2. P(s)=p(F1s or F2s or F3s or F4s)
= (0.3 x 0.1) + (0.28 x 0.125) + (0.22 x 0.75) + (0.4 x 0.175)
= 0.265
3.
1. P(F1 &F4) = 2(0.3 x 0.2)
= 3  or 0.12
25
2. P(F1s & F4s OR F4S & F1s)
= 2(0.3 x 0.1 x 0.2 x 0.175)
= 0.13
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