Answer:
Probability =

Explanation:
Number of students working part time, living in dorm = 22
Total number of students working part (either living in dorm or not in dorm)
= 22 + 9
= 31
Probability of the students working part time and living in dorm,
P =
=

P =

Therefore, probability of the students chosen that he/she is working part time given that he/she lives in dorm is
.