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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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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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