calculate the probability that a randomly selected student is taller than 5 feet5 inches in height. there are 31 students out of the 57 students who are 5 feet 5 inches in height. I just want to know how to set this problem up.

To calculate the probability, we need to know the total number of students and the number of students who are taller than 5 feet 5 inches.

Step 1: Determine the total number of students.
Given that there are 57 students who are 5 feet 5 inches tall, we can assume that this is the total number of students.

Total number of students = 57

Step 2: Determine the number of students who are taller than 5 feet 5 inches.
Given that 31 students are 5 feet 5 inches tall, we subtract this number from the total number of students to find the number of students who are taller.

Number of students taller than 5 feet 5 inches = Total number of students - Number of students who are 5 feet 5 inches tall
Number of students taller than 5 feet 5 inches = 57 - 31

Step 3: Calculate the probability.
To calculate the probability, we divide the number of students who are taller than 5 feet 5 inches by the total number of students.

Probability = Number of students taller than 5 feet 5 inches / Total number of students

Now, you can substitute the values:

Probability = (57 - 31) / 57

Simplifying further,

Probability = 26 / 57 ≈ 0.456

Therefore, the probability that a randomly selected student is taller than 5 feet 5 inches is approximately 0.456.