The probability of a college student being employed is p = .35.The probability of a student being employed and dropping out of college is p = .20.Hence,the probability of a student dropping out of college,given that he or she is employed,is ______.
A) p = .07
B) p = .57
C) p = .55
D) There is not enough information to answer this question.

Question

Quizplus · Accepted Answer

We can use Bayes' theorem to find the conditional probability of a student dropping out of college given that they are employed.
P(Dropping out | Employed) = P(Employed and Dropping out) / P(Employed)
= 0.2 / 0.35
= 0.57
Therefore, the probability of a student dropping out of college, given that they are employed, is 0.57 or p = .57. The correct answer is option B.

The Probability of a College Student Being Employed Is P