Respuesta :

Answer:

[tex]P(A\text{ or B)=}\frac{13}{19}[/tex]

Step-by-step explanation:

Probability is represented by the following equation;

[tex]P(A)=\frac{\text{ Numer of possible outcomes}}{\text{Total of the population}}[/tex]

The probability of two disjoint events A or B happening is

[tex]P\mleft(AorB\mright)=P\mleft(A\mright)+P\mleft(B\mright).[/tex]

Then, as we can see on the table:

Let A be for graduated students

Let B Off-campus housing

Total of students: 19

[tex]\begin{gathered} P(A)=\frac{3}{19} \\ P(B)=\frac{10}{19} \\ P(A\text{ or B)=}\frac{3}{19}+\frac{10}{19} \\ P(A\text{ or B)=}\frac{13}{19} \end{gathered}[/tex]