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There are 13 freshmen and 18 sophomore students in a classroom. We randomly select two students....

There are 13 freshmen and 18 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?


b) If the first student was a sophomore, what is the probability that the 2nd student was a freshman?


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?


d) If the first student was a sophomore, what is the probability that the 2nd student was a freshman?


Be sure to include at least 4 decimal places, if needed.

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