Answer:
Probability = [tex]\frac{22}{31}[/tex]
Step-by-step 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 = [tex]\frac{\text{Favorable event}}{\text{Total outcomes}}[/tex] = [tex]\frac{\text{Students working part time either living in dorm}}{\text{Total number of students working part time either living in dorm or not}}[/tex]
P = [tex]\frac{22}{31}[/tex]
Therefore, probability of the students chosen that he/she is working part time given that he/she lives in dorm is [tex]\frac{22}{31}[/tex].
