Respuesta :
P(call a person not from his neighborhood) = [tex](\frac{1}{5} )[/tex]
Step-by-step explanation:
Here, the total number of contacts in the list if Bruce = 25 contacts
The total number of neighbors in the contact = 20 people
Now, let E: Event of calling a person from his neighborhood
So, P(E) = [tex]\frac{\textrm{Total Favorable Outcomes}}{\textrm{Total Outcomes}} = \frac{20}{25} = (\frac{4}{5})[/tex]
So, the probability of calling a person from his neighborhood is [tex](\frac{4}{5} )[/tex]
⇒P(E) = [tex](\frac{4}{5} )[/tex]
Now,as we know: P(E) + P(not E) = 1
So, the probability of NOT calling a person from neighborhood
= 1 - probability of calling a person from his neighborhood
[tex]= 1 - (\frac{4}{5}) = \frac{5-4}{5} = (\frac{1}{5})[/tex]
⇒P( not E) = [tex](\frac{1}{5} )[/tex]
Hence, P(call a person not from his neighborhood) = [tex](\frac{1}{5} )[/tex]