A multiple-choice quiz contains 10 questions. Each question has one correct answer from the 4 possible choices. Suppose a student guesses on each question. a) What is the probability the student guesses exactly 3 correct? b) What is the probability at least one answer is correct? c) If the test had 100 questions, and the student guessed randomly on each, how many questions would you expect them to get correct?

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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1)
A multiple-choice quiz contains 10 questions. Each question has one
correct answer from the 4 possible choices. Suppose a student guesses on
each question.

a) What is the probability the student guesses exactly 3 correct?
b) What is the probability at least one answer is correct?
c) If the test had 100 questions, and the student guessed randomly on
each, how many questions would you expect them to get correct?

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