Answer :
To solve this problem, let's determine which places satisfy either event \( A \) (the place is a city) or event \( B \) (the place is in North America).
We'll start by examining each place and categorizing it according to the given attributes. Here's a detailed step-by-step process:
1. India
- Is a city: No
- Is in North America: No
- It doesn't satisfy either event \( A \) or event \( B \).
2. Tokyo
- Is a city: Yes
- Is in North America: No
- It satisfies event \( A \).
3. Houston
- Is a city: Yes
- Is in North America: No
- It satisfies event \( A \).
4. Peru
- Is a city: No
- Is in North America: No
- It doesn't satisfy either event \( A \) or event \( B \).
5. New York
- Is a city: Yes
- Is in North America: Yes
- It satisfies both events \( A \) and \( B \).
6. Tijuana
- Is a city: Yes
- Is in North America: Yes
- It satisfies both events \( A \) and \( B \).
7. Canada
- Is a city: No
- Is in North America: Yes
- It satisfies event \( B \).
Let's list out the places that satisfy \( A \) or \( B \):
- Tokyo satisfies \( A \).
- Houston satisfies \( A \).
- New York satisfies both \( A \) and \( B \).
- Tijuana satisfies both \( A \) and \( B \).
- Canada satisfies \( B \).
Thus, the outcomes in \( A \) or \( B \) are:
- Tokyo
- Houston
- New York
- Tijuana
- Canada
Now we match this list with the provided choices:
A. \{Houston, New York, Tijuana\} \\
B. \{Tokyo, Houston, New York, Tijuana\} \\
C. \{Houston, New York, Tijuana, Canada\} \\
D. \{Tokyo, Houston, New York, Tijuana, Canada\}
The correct answer, which includes all the places that satisfy \( A \) or \( B \), is:
D. \{Tokyo, Houston, New York, Tijuana, Canada\}
Therefore, the correct choice is [tex]\( \boxed{4} \)[/tex].
We'll start by examining each place and categorizing it according to the given attributes. Here's a detailed step-by-step process:
1. India
- Is a city: No
- Is in North America: No
- It doesn't satisfy either event \( A \) or event \( B \).
2. Tokyo
- Is a city: Yes
- Is in North America: No
- It satisfies event \( A \).
3. Houston
- Is a city: Yes
- Is in North America: No
- It satisfies event \( A \).
4. Peru
- Is a city: No
- Is in North America: No
- It doesn't satisfy either event \( A \) or event \( B \).
5. New York
- Is a city: Yes
- Is in North America: Yes
- It satisfies both events \( A \) and \( B \).
6. Tijuana
- Is a city: Yes
- Is in North America: Yes
- It satisfies both events \( A \) and \( B \).
7. Canada
- Is a city: No
- Is in North America: Yes
- It satisfies event \( B \).
Let's list out the places that satisfy \( A \) or \( B \):
- Tokyo satisfies \( A \).
- Houston satisfies \( A \).
- New York satisfies both \( A \) and \( B \).
- Tijuana satisfies both \( A \) and \( B \).
- Canada satisfies \( B \).
Thus, the outcomes in \( A \) or \( B \) are:
- Tokyo
- Houston
- New York
- Tijuana
- Canada
Now we match this list with the provided choices:
A. \{Houston, New York, Tijuana\} \\
B. \{Tokyo, Houston, New York, Tijuana\} \\
C. \{Houston, New York, Tijuana, Canada\} \\
D. \{Tokyo, Houston, New York, Tijuana, Canada\}
The correct answer, which includes all the places that satisfy \( A \) or \( B \), is:
D. \{Tokyo, Houston, New York, Tijuana, Canada\}
Therefore, the correct choice is [tex]\( \boxed{4} \)[/tex].
