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Thirty percent of the students in a high school face a disciplinary action of some kind before they graduate. Of those students, 40% go on to college. Of the 70% who do not face a disciplinary action, 60% go on to college.
-Given that a randomly selected student goes on to college, what is the probability that he or she faced a disciplinary action?
A) 0.12
B) 0.22
C) 0.30
D) 0.78

Question

Use the following information for questions:
 Thirty percent of the students in a high school face a disciplinary action of some kind before they graduate. Of those students, 40% go on to college. Of the 70% who do not face a disciplinary action, 60% go on to college.
-Given that a randomly selected student goes on to college, what is the probability that he or she faced a disciplinary action?
A) 0.12
B) 0.22
C) 0.30
D) 0.78

Quizplus · Accepted Answer

Using Bayes' theorem, the probability that a student faced disciplinary action given they go to college is calculated as (0.3 * 0.4) / [(0.3 * 0.4) + (0.7 * 0.6)] = 0.12 / 0.54 = 0.22.

Use the Following Information for Questions