Given
                                       On campus       Off campus        Total
Transfer Applicant           38                      66                     104
Freshman Applicant        85                      52                     137
Total                                 123                     118                    241
Find
probability that an applicant planning to stay off-campus is a transfer applicant
Explanation
Total Transfer applicant = 104 
Off campus transfer applicant = 66
Probability = Favourable outcomes / Total outcomes
so , here 
probability that an applicant planning to stay off-campus is a transfer applicant = Off campus transfer applicant/Total Transfer applicant
[tex]\begin{gathered} \frac{66}{104} \\  \\ 0.6346\approx0.635 \end{gathered}[/tex]
Final Answer
Therefore , the correct option is C