Question

question 5 of 10
let event ( a = ) the place is a city.
let event ( b = ) the place is in north america.
what is ( p(a \text{ and } b) )?

Explanation:

Step1: Calculate the total number of places

There are 7 places in total.

Step2: Find the number of places that are both cities and in North America

Houston, Miami, and Toronto meet the criteria, so there are 3 such places.

Step3: Calculate the probability

Probability formula is $P(A\cap B)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes is 3 (places that are cities and in North America) and the total number of outcomes is 7 (total places). So $P(A\cap B)=\frac{3}{7}$.

Answer:

$\frac{3}{7}$