Question

Please give working step and the answer

Answer 1

Probability =
`(22)/(31)`

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 =
`\frac{\text{Favorable event}}{\text{Total outcomes}}` =
`\frac{\text{Students working part time either living in dorm}}{\text{Total number of students working part time either living in dorm or not}}`

P =
`(22)/(31)`

Therefore, probability of the students chosen that he/she is working part time given that he/she lives in dorm is
`(22)/(31)`.