Question

You pick two students at random, one at a time. What is the probability that the second student is a sophomore, given that the first is a freshman

Answer 1

0.40

Explanation:

The computation of the probability for the second student be sophomore and the first is a freshman is shown below:

Let us assume

Sophomore = S

Freshman = F

Based on this assumption, the probability is as follows

So,

`= (P(S\cap F))/(P(F)) \\\\ = (P(S) * P(F))/(P(F)) \\\\ = (16)/(40)`

= 0.40

Hence, the probability for the second student be sophomore and the first student be freshman is 0.40