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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

User Donuts
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1 Answer

3 votes

Answer:

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

User NilsHaldenwang
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