3.The probability that a sophomore student studies philosophy course is 0.21. The probability of taking a sociology course is 0.8 and the probability of taking both is 0.12. What is the probability that a sophomore will take,

a.Philosophy course given that a sociology course is also taken by that student?

p = 0.12/.8 = 3/20 = 0.15

b.A sociology course given that a philosophy course is also taken by that student?

p= 0.12/0.21 = 4/7 = 0.57