6. Some teachers argue that they don't like multiple choice tests because a student can just guess at all the answers and still pass the test. If a teacher gives a multiple choice test with 20 questions, with each question having 4 possible answers (a,b,c,d) then what is the probability that a student who is randomly guessing will get a 70% or better on the test? (Do not round) Does this support the claim that a student could just guess and pass the test?

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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Statistics & probability
6. Some teachers argue that they don't like multiple choice tests because a student can just guess at all the answers and still pass the test. If a teacher gives a multiple choice test with 20 questions, with each question having 4 possible answers (a, b, c, d) then what is the probability that a student who is randomly guessing will get a 70% or better on the test? (Do not round) Does this support the claim that a student could just guess and pass the test?
Transcribed Image Text:6. Some teachers argue that they don't like multiple choice tests because a student can just guess at all the answers and still pass the test. If a teacher gives a multiple choice test with 20 questions, with each question having 4 possible answers (a, b, c, d) then what is the probability that a student who is randomly guessing will get a 70% or better on the test? (Do not round) Does this support the claim that a student could just guess and pass the test?
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