Answer:
Final answer is 
Step-by-step explanation:
We have been given a table containing a list of few places that are either city or in North America.
Total number of places in that list = 7
That means sample space has 7 possible events.
Given that a place from this table is chosen at random. Let event A = The place is a city.
Now we need to find about what is
.
That means find find the probability that chosen place is not a city.
there are 3 places in the list which are not city.
Hence favorable number of events = 3
Then required probability is given by favorable/total events.

3 ways
1st way: Anthony- Gold William-Red Christopher-Green Mathew-Blue
2nd way: Anthony- Blue William-Gold Christopher-Red Mathew-Green
3rd way: Anthony-Green William-Blue Christopher-Gold Mathew-Red