Question

The probability of a student taking both Spanish class and art class is 9/100 . The probability of a student taking art class is 3/10

What is the probability that a student takes Spanish class given that the student takes art class?

Answer 1

Denote by A the event "taking Spanish class "
B the event "student taking art class"
We have the formula:
`P(A!B)=(P(A\cap B))/(P(B))=((9)/(100))/((3)/(10))\\=(9)/(100)*(10)/(3)=(3)/(10)`
Answer
`(3)/(10)`