A vocational test was conducted on 1000 students from a school. The table below presents the results by field of study and gender.

|  | Exatas | Humanas | Biológicas |
| :---: | :---: | :---: | :---: |
| Masculino | 232 | 116 | 207 |
| Feminino | 112 | 153 | 180 |

If a student is chosen at random, determine the probability of:

(a) Being in the field of Exatas.

(b) Being in the field of Humanas, being male.

(c) Being female, given that they are in the Biológicas field.
(a) From the exact sciences, we have $232+112=344$ students, $\log$ the probability of randomly selecting a student from the exact sciences is $\frac{344}{1000}=0.344$.

(b) Since the number of male students is 555, the probability of being from the humanities area is $\frac{116}{555}=0.209$.

(c) The number of students in the biological area is 387. Thus, the probability of selecting one who is female is $\frac{180}{387}=0.465$.