Place Is a city Is in North AmericaIndia Tokyo ✔ Houston ✔ ✔Peru New York ✔ ✔Tijuana ✔ ✔Canada ✔A place from this table is chosen at random. Let event A = The place is a city.What is P(Ac)?A.B.C.D.
Question
Place Is a city Is in North AmericaIndia Tokyo ✔ Houston ✔ ✔Peru New York ✔ ✔Tijuana ✔ ✔Canada ✔A place from this table is chosen at random. Let event A = The place is a city.What is P(Ac)?A.B.C.D.
Solution
The table lists 7 places. Out of these, 4 are cities (Tokyo, Houston, New York, Tijuana).
Event A is defined as the place being a city. The probability of event A, P(A), is the number of favorable outcomes (the place is a city) divided by the total number of outcomes (total places).
So, P(A) = Number of cities / Total places = 4 / 7.
The complement of an event A, denoted by A^c, is the event that A does not occur.
So, event A^c is the event that the place is not a city. The probability of the complement of an event, P(A^c), is given by 1 - P(A).
Therefore, P(A^c) = 1 - P(A) = 1 - (4 / 7) = 3 / 7.
So, the probability that the place chosen is not a city is 3 / 7.
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