Question

A campus program evenly enrolls undergraduate and graduate students. If a random sample of 5 students is selected from the program to be interviewed about the introduction of a new fast food outlet on the ground floor of the campus building, what is the probability that all 5 students selected are undergraduate students

Answer 1

Answer:

The answer is "0.03125".

Step-by-step explanation:

Two types of undergraduates exist. Its chance for selecting the very first person who is part of degree studies will be 1/2. The probability will also be 1/2 for the 2nd person, as well as, the 3rd, 4th, and 5th person. For 5 random samples, the probability of the graduate therefore is

$\to \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = \frac{1}{32}=0.03125$