Question

Bruce is going to call one person from his contacts at random. He has 25 total contacts. 20 of those contacts are from his neighborhood. What is P(call a person not from his neighborhood)

Answer 1

P(call a person not from his neighborhood) = $(\frac{1}{5} )$

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) = $\frac{\textrm{Total Favorable Outcomes}}{\textrm{Total Outcomes}} = \frac{20}{25} = (\frac{4}{5})$

So, the probability of calling a person from his neighborhood  is $(\frac{4}{5} )$

⇒P(E) = $(\frac{4}{5} )$

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

$= 1 - (\frac{4}{5}) = \frac{5-4}{5} = (\frac{1}{5})$

⇒P( not E) = $(\frac{1}{5} )$

Hence,  P(call a person not from his neighborhood) = $(\frac{1}{5} )$

Answer 2

Answer: 1/5

Step-by-step explanation: