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Results on the Bar Exam of Law School Gr...

Results on the Bar Exam of Law School Graduates

The table above summarizes the results of 200 law school graduates who took the bar exam. If one of the surveyed graduates who passed the bar exam is chosen at random for an interview, what is the probability that the person chosen did `ul("not")` take the review course?

A

`(18)/(25)`

B

`(7)/(25)`

C

`(25)/(200)`

D

`(7)/(200)`

Text Solution

Verified by Experts

Choice B is correct. According to the table, there are 18 + 7 = 25 graduates who passed the bar exam, and 7 of them did not take the review course. Therefore, if one of the surveyed graduates who passed the bar exam is chosen at random, the probability that the person chosen did not take the review course is `(7)/(25)`.
Choices A, C, and D are incorrect. Each of these choices represents a different probability from the conditional probability that the question asks for. Choice A represents the following probability. If one of the surveyed graduates who passed the bar exam is chosen at random, the probability that the person chosen did take the review course is `(18)/(25)` . Choice C represents the following probability. If one of the surveyed graduates is chosen at random, the probability that the person chosen passed the bar exam is `(25)/(200)`. Choice D represents the following probability. If one of the surveyed graduates is chosen at random, the probability that the person chosen passed the exam and took the review course is `(7)/(200)`.
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