A test has three parts. Part A consists of three true-false questions, part B consists of three multiple-choice questions with five choices each, and part C requires you to match seven questions with seven different answers one-to-one. Assuming that you make random choices in filling out your answer sheet, what is the probability that you will earn 100% on the test? (Leave your answer as a formula.) O P(E) = 32 x 5³ x 7! 1 O P(E) = 23 x 75 x 3! 1 O P(E) = 23x 5³ x 7! 1 O P(E) = 72 x 53 x 3! O ME - 1 O P(E) = 2? x 35 x 3!

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 59SE: Use this data for the exercises that follow: In 2013, there were roughly 317 million citizens in the...
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A test has three parts. Part A consists of three true-false questions, part B consists of three multiple-choice questions with five choices each, and part C requires you to match seven
questions with seven different answers one-to-one. Assuming that you make random choices in filling out your answer sheet, what is the probability that you will earn 100% on the test?
(Leave your answer as a formula.)
1
O P(E) :
32 x 53 x 7!
1
O P(E)
23 x 75 x 3!
1
Ο Ρ(E)
23 x 53 x 7!
1
O P(E)
72 x 53 x 3!
O P(E)
%3D
27 x 35 x 3!
Transcribed Image Text:A test has three parts. Part A consists of three true-false questions, part B consists of three multiple-choice questions with five choices each, and part C requires you to match seven questions with seven different answers one-to-one. Assuming that you make random choices in filling out your answer sheet, what is the probability that you will earn 100% on the test? (Leave your answer as a formula.) 1 O P(E) : 32 x 53 x 7! 1 O P(E) 23 x 75 x 3! 1 Ο Ρ(E) 23 x 53 x 7! 1 O P(E) 72 x 53 x 3! O P(E) %3D 27 x 35 x 3!
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