Question

a point is randomly chosen on a map of north america. describe the probability of the point being in each location: north america: new york city: europe:

Explanation:

Step1: Analyze North America

Since the point is chosen on a map of North America, the point must lie within North America. So the probability is 1 (certain event).

Step2: Analyze New York City

The probability of the point being in New York City is the ratio of the area of New York City to the area of North America. Since New York City's area is much smaller than North America's, this probability is a small positive number between 0 and 1.

Step3: Analyze Europe

The point is chosen on a map of North America, so it cannot be in Europe. Thus, the probability is 0 (impossible event).

Answer:

• North America: Probability = 1 (certain)
• New York City: Probability = $\frac{\text{Area of New York City}}{\text{Area of North America}}$ (a value between 0 and 1, close to 0)
• Europe: Probability = 0 (impossible)