Question

At P-Town High School, the probability that a student takes Computer Programming and Spanish is 0.15. The probability that a student takes Computer Programming is 0.4. What is the probability that a student takes Spanish given that the student is taking Computer Programming

Answer 1

The probability that a student takes Spanish given that the student is taking Computer Programming = 0.375

Explanation:

Given -

Let event A = student takes Spanish

Event B = student takes Computer Programming

`A \bigcap B` = student takes Computer Programming and Spanish

P(B) = 0.4 ,
`P(A \bigcap B)` = 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 )

`P((A)/(B)) = (P(A \bigcap B ))/(P(B))`

=
`(.15)/(0.4)`

= 0.375