Answer-
[tex]\boxed{\boxed{P(A^c)=\dfrac{2}{7}}}[/tex]
Solution-
Here,
Sample space = S = {Rome, Tokyo, Houston, Peru, Miami, Toronto, Canada}
So, [tex]|S|=7[/tex]
Event A = The randomly selected place is a city.
A = {Rome, Tokyo, Houston, Miami, Toronto}
So, [tex]|A|=5[/tex]
Hence,
[tex]P(A)=\dfrac{|A|}{|S|}=\dfrac{5}{7}[/tex]
Then, [tex]A^c[/tex] be the event that the randomly selected place is not a city, so
[tex]P(A^c)=1-P(A)=1-\dfrac{5}{7}=\dfrac{2}{7}[/tex]
