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

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

$A \bigcap B$  =   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 )

$P(\frac{A}{B}) = \frac{P(A \bigcap B )}{P(B)}$

         = $\frac{.15}{0.4}$

          =  0.375