There are 13 freshmen and 16 sophomore students in a classroom. We randomly select two students.
Suppose the students were selected with replacement.
a) If the first student was a freshman, what is the probability that the 2nd student is also a freshman? 0.4483
b) If the first student was a sophomore, what is the probability that the 2nd student was a freshman? 0.2473
Suppose the students were selected without replacement.
c) If the first student was a freshman, what is the probability that the 2nd student is also a freshman? 0.1921
d) If the first student was a sophomore, what is the probability that the 2nd student was a freshman? 0.256
Be sure to include at least 4 decimal places, if needed.