Answer: 0.159375
Step-by-step explanation:
Let the events are :
H = Student takes a history class.
S = Student takes a sociology class.
As per given , we have
P(H)=0.32
P(H∩S)=0.051
Now , by using the conditional probability formula , we have
[tex]P(S|H)=\dfrac{P(H\cap S)}{P(H)}\\\\=\dfrac{0.051}{0.32}\\\\=\dfrac{51}{320}=0.159375[/tex]
Hence, the probability that a student takes a sociology class, given that the student is taking a history class is 0.159375 .
