Students are heavily involved in extra-curricular activities at Blount High Scho
ID: 3160490 • Letter: S
Question
Students are heavily involved in extra-curricular activities at Blount High School. Twenty eight percent of the students are active in the performing arts. Thirty six percent of the students are active in sports. Forty five percent of the students are not active in either the performing arts or sports. Address parts (a) and (b). Show work and/or clearly explain your process; otherwise no credit will be given.
(a) Suppose that a Blount High School student is selected at random; what is the probability that he/she is active in both the performing arts and sports?
(b) Suppose that a Blount High School student who is active in sports is selected at random; what is the probability that he/she is active in the performing arts?
Explanation / Answer
a) the probability that student is good in arts and good at sports = 0.28*0.36 = 0.1008
b) the probability that the person is good in arts, if selected from good in sports = 0.28*0.36/0.36 = 0.28