Answer:
P(sophomore & volleyball) = 0.26
Explanation:
We have to find the probability that a randomly chosen person from this group is a Sophomore and attended the volleyball game
Probability that a person selected is a Sophomore:
Total persons: 137
Number of sophomores: 77
Probability = Desired outcome / Total possible outcomes
P(sophomore) =
![(77)/(137)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/95qm36wp30x7e2w66mvmiq0bul0lp598mn.png)
Now finding Probability that a person selected has attended the volleyball game:
Total persons: 137
Number of persons who attended volleyball: 77
P(volleyball) =
![(66)/(137)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3pgs8tc2tjtbhgfwi3xns34m2ei108snjh.png)
Probability that a person is sophomore and attended volleyball:
P(sophomore & volleyball) =
![(77)/(137) * (66)/(137)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kx23kcgr3od3hibdn3fb9wzgfge3n903x5.png)
= 0.26