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A place from this table is chosen at random. Let event A= the place is a city.
what is P(ac)
A. 3/7
B. 5/7
C. 4/7


A Place From This Table Is Chosen At Random Let Event A The Place Is A City What Is Pac A 37 B 57 C 47 class=

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Answer:

4/7

Step-by-step explanation:

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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.

Learn more about the probability here;

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