Problem Solving Using Theoretical Probabilities Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items

Question
A science museum has announced that, on a particular day, one of their halls is closed for construction. The museum has 5 halls on the first floor, 3 on the second floor, and 4 on the third floor. How likely is it that the closed hall is on the second floor? Give the answer as a fraction in the simplest form.(1 point)

Answer 1

To determine the probability that the closed hall is on the second floor, we first need to find the total number of halls and then the number of halls on the second floor.

1. Calculate the total number of halls:

   • First floor: 5 halls
   • Second floor: 3 halls
   • Third floor: 4 halls

   Total number of halls = 5 + 3 + 4 = 12 halls

2. Identify the number of halls on the second floor:

   • Second floor: 3 halls

3. Calculate the probability that the closed hall is on the second floor: Probability = (Number of halls on the second floor) / (Total number of halls)

   Probability = 3 / 12

4. Simplify the fraction: 3 / 12 = 1 / 4

Thus, the probability that the closed hall is on the second floor is \(\frac{1}{4}\).