The answer should be. P(Version of A) = 0.1212 Font Faragragh Problem 2. Suppose

Question

The answer should be. P(Version of A) = 0.1212

Font Faragragh Problem 2. Suppose there are 100 students in a class taking a test and 50 students have Version A of the e xam and 50 students have Version B of the exam. When each student has the completed exam, the submitted exams are placed in two piles at the front of the room depending on which version is submitted. Assuming that the differing versions were distributed at random and that the versions were equalty difficult, what is the probability that the first three exams submitted are from Version A?

Explanation / Answer

Total exams = 100

Total exams from version A = 50

Number of ways to choose 3 exams from 100 = 100C3 = 100! / (3! * (100-3)!) = 161700

P(firsf 3 are from version A) = 50C3 / 100C3 = 19600 / 161700 = 0.1212

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