Question 65
A vocational test. A vocational test was given to $1000$ students of a school. The following table shows the results by area of study and sex.
| | Exact sciences | Humanities | Biological sciences |
|:-----------:|:------:|:-------:|:----------:|
| Male | 232 | 116 | 207 |
| Female | 112 | 153 | 180 |
If a student is chosen at random, determine the probability that the student:
a) is in the exact sciences area.
b) is in the humanities area, given that the student is male.
c) is female, given that the student is in the biological area.
| | Exact sciences | Humanities | Biological sciences |
|:-----------:|:------:|:-------:|:----------:|
| Male | 232 | 116 | 207 |
| Female | 112 | 153 | 180 |
If a student is chosen at random, determine the probability that the student:
a) is in the exact sciences area.
b) is in the humanities area, given that the student is male.
c) is female, given that the student is in the biological area.