Answer:
The probability that a student takes Spanish given that the student is taking Computer Programming = 0.375
Step-by-step explanation:
Given -
Let event A = student takes Spanish
Event B = student takes Computer Programming
[tex]A \bigcap B[/tex] = student takes Computer Programming and Spanish
P(B) = 0.4 , [tex]P(A \bigcap B)[/tex] = 0.15
What is the probability that a student takes Spanish given that the student is taking Computer Programming =
(Probability of an event occuring given that another event has already occured , we use condition probability )
[tex]P(\frac{A}{B}) = \frac{P(A \bigcap B )}{P(B)}[/tex]
= [tex]\frac{.15}{0.4}[/tex]
= 0.375
