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Sagot :
Answer:
D: 2/7
Step-by-step explanation:
The probability of an event x is how likely the event will occur. It is given as;
P(x) = number of expected outcomes / number of possible outcomes
Given:
Event A = The place is a city.
Therefore,
P(A) is the probability that the event A happens. i.e the probability that a place is a city.
P([tex]A^c[/tex]) is the probability that the event A does not happen. i.e the probability that a place is not a city
Also,
The sum of the probability that an event happens and the probability that the event does not happen is equal to 1. i.e
P(A) + P([tex]A^c[/tex]) = 1
From the table,
P([tex]A^c[/tex]) is found by counting the number of places that does not have a tick on the "is a city" column, then divide the result by the total number of places. i.e
P([tex]A^c[/tex]) = 2 ÷ 7
P([tex]A^c[/tex]) = 2/7
Therefore P([tex]A^c[/tex]) which is the probability that the place is not a city is 2/7
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