To determine \( P(A^C) \), the probability that a randomly chosen place from the table is not a city, follow these steps:
1. Count the Total Number of Places:
- There are 7 places listed: India, Tokyo, Houston, Peru, New York, Tijuana, and Canada.
- Therefore, the total number of places, \(\text{total\_places}\), is \( 7 \).
2. Identify the Places that Are Cities:
- The places identified as cities in the table are Tokyo, Houston, New York, and Tijuana.
- We count these places: there are 4 cities.
3. Calculate the Number of Places that Are Not Cities:
- To find the number of places that are not cities, subtract the number of cities from the total number of places.
- So, \(\text{non\_cities} = \text{total\_places} - \text{number\_of\_cities} = 7 - 4 = 3 \).
4. Calculate the Probability \( P(A^C) \):
- The probability \( P(A^C) \) is the number of non-city places divided by the total number of places.
- So, \( P(A^C) = \frac{\text{non\_cities}}{\text{total\_places}} = \frac{3}{7} \).
Hence, the probability [tex]\( P(A^C) \)[/tex] that a randomly chosen place from the table is not a city is [tex]\( \frac{3}{7} \)[/tex], which is approximately [tex]\( 0.2857142857142857 \)[/tex] or 28.57%.
