Answer to Question #127949 in Statistics and Probability for Bereket Nebiyu

Question

In a school, 60% of the students take a foreign language class and 20% of
students take both foreign language and technology. What is the probability that a student takes technology given that the students takes foreign language?
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Answer 1

Let A = the event that the student takes technology

and B = the event that the student takes foreign language

$\therefore$ A $\cap$ B is the event that the student takes both technology and foreign language

and A | B is the event that the student takes both technology given that the student takes foreign language

Since, 60% of the students take a foreign language class and 20% of the students take both foreign language and technology

Then we have, P(B) = 60% = 0.6 and P(A $\cap$ B) = 20% = 0.2

Now we have,

P(A | B) = $\frac{P(A\cap B)}{P(B)}$ = $\frac{0.2}{0.6}$ = 0.33

Answer: The probability that a student takes technology given that the student takes foreign language is 0.33.