Question

A place from this table is chosen at random. Let event A= The place is a city. What is P(A c)?

Answer 1

2/7 i did the test and its right

Explanation:

Answer 2

`\boxed{\boxed{P(A^c)=(2)/(7)}}`

Solution-

Here,

Sample space = S = {Rome, Tokyo, Houston, Peru, Miami, Toronto, Canada}

So,
`|S|=7`

Event A = The randomly selected place is a city.

A = {Rome, Tokyo, Houston, Miami, Toronto}

So,
`|A|=5`

Hence,

`P(A)=(|A|)/(|S|)=(5)/(7)`

Then,
`A^c` be the event that the randomly selected place is not a city, so

`P(A^c)=1-P(A)=1-(5)/(7)=(2)/(7)`