Question

A campus program evenly enrolls undergraduate and graduate students. If a random sample of 4 students is selected from the program to be interviewed about the introduction of a new fast food outlet, what is the probability that all 4 students selected are undergraduate students?
A. 0.0256
B. 0.0625
C. 0.16
D. 100

Answer 1

Answer:

B. 0.0625

Step-by-step explanation:

Given that the program has graduated and undergraduates enrolled,

Let the probability of selecting a graduate = p(g)

And the probability of selecting an undergraduate = p(u)

p(g) = p(u) = 50% = 0.5

Therefore,

Probability of selecting 4 students who are undergraduates

=p(u)p(u)p(u)p(u)

= 0.5 × 0.5 × 0.5 × 0.5

= 0.0625

The right option is B