Question

question 6 of 10
a place from this table is chosen at random. let event ( a ) = the place is a city.
what is ( p(a^{c}) )?
a. ( \frac{4}{7} )

Explanation:

Step1: Calculate the total number of places

There are \(7\) places in the table.

Step2: Calculate the number of non - city places

The non - city places are India, Peru, Canada, Mexico, so there are \(4\) non - city places.

Step3: Use the formula for the probability of the complement event

The formula for \(P(A^{c})\) is \(P(A^{c})=\frac{\text{Number of non - city places}}{\text{Total number of places}}\). Substituting the values, we get \(P(A^{c})=\frac{4}{7}\).

Answer:

$\frac{4}{7}$