The probability of the complement of event A P(Ac), which is the event of a place to not be a city, is 4/7. Option C is correct.
How to find the probability of an event?
Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
A place from this table is chosen at random. Let event A= the place is a city.
The total number of places are 7 given in the table.There are total three places which are city. Thus, the probability of a country to be a city is,
[tex]P(A)=\dfrac{3}{7}[/tex]
Now, for its complement, the probability of a place not be a city is,
[tex]P(A^c)=1-\dfrac{3}{7}\\P(A^c)=\dfrac{7-3}{7}\\P(A^c)=\dfrac{4}{7}[/tex]
Thus, the probability of the complement of event A P(Ac), which is the event of a place to not be a city, is 4/7. Option C is correct.
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