6. A student is taking a multiple choice exam consisting of 20 questions, each one with a choice of 3 possible answers. The pass grade is 80%, that is, getting 16 or more questions correct. (a) Calculate the probability of the student passing if they choose their answers at random. (b) Explain how the calculations in the previous question may be simplified as the number of questions becomes large. (c) Explain how the calculations may be simplified if the number of questions is large and the number of possible answers is also large.

6. A student is taking a multiple choice exam consisting of 20 questions, each one with a choice of 3 possible answers. The pass grade is 80%, that is, getting 16 or more questions correct. (a) Calculate the probability of the student passing if they choose their answers at random. (b) Explain how the calculations in the previous question may be simplified as the number of questions becomes large. (c) Explain how the calculations may be simplified if the number of questions is large and the number of possible answers is also large.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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