A test has three parts. Part A consists of seven true-false questions, part B consists of five multiple-choice questions with five choices each, and part C requires you to match five questions with five different answers one-to-one. Assuming that you make random guesses in filling out your answer sheet, what is the probability that you will earn 100% on the test? (Leave your answer as a formula.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 35E
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A test has three parts. Part A consists of seven true-false questions, part B consists of five multiple-choice questions with five
choices each, and part C requires you to match five questions with five different answers one-to-one. Assuming that you make
random guesses 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)
27 x 55 x 5!
P(E)
%3!
25 x 55 x
x 7!
1
O PLE) =
%3!
52 x 55
x 7!
1
O P(E)
%3D
72 x 55 x 5!
1
P(E)
%3D
25 x 75 x 5!
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Transcribed Image Text:A test has three parts. Part A consists of seven true-false questions, part B consists of five multiple-choice questions with five choices each, and part C requires you to match five questions with five different answers one-to-one. Assuming that you make random guesses 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) 27 x 55 x 5! P(E) %3! 25 x 55 x x 7! 1 O PLE) = %3! 52 x 55 x 7! 1 O P(E) %3D 72 x 55 x 5! 1 P(E) %3D 25 x 75 x 5! Need Help? Read It
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