If a student (represented by initials) was chosen at random, find P(HHU C).

Answer:
[tex]P(HH\ u\ C) = \frac{13}{16}[/tex]
Step-by-step explanation:
Given
The Venn diagram
Required
[tex]P(HH\ u\ C)[/tex]
This is calculated as:
[tex]P(HH\ u\ C) = \frac{n(HH\ u\ C)}{n(U)}[/tex]
Where:
[tex]n(U) = 16[/tex] --- count of students
[tex]n(HH\ u\ C) =13[/tex]
So, we have:
[tex]P(HH\ u\ C) = \frac{n(HH\ u\ C)}{n(U)}[/tex]
[tex]P(HH\ u\ C) = \frac{13}{16}[/tex]