Respuesta :

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]