A test has three parts. Part A consists of seven true-false questions, part B consists of three multiple-choice questions with five choices each, and part C requires you to match three questions with three 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.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.6: Permutations
Problem 31E
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A test has three parts. Part A consists of seven true-false questions, part B consists of three multiple-choice questions with five choices each, and part C requires you to match three questions with
three 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.)
P(E)
O P(E)
O P(E)
=
P(E) =
P(E)
=
=
=
1
7² x 5³ x 3!
1
27 x 5³ x 3!
1
3² x 53
1
2³ x 35
x 7!
x 7!
1
23 x 75 x 3!
Transcribed Image Text:A test has three parts. Part A consists of seven true-false questions, part B consists of three multiple-choice questions with five choices each, and part C requires you to match three questions with three 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.) P(E) O P(E) O P(E) = P(E) = P(E) = = = 1 7² x 5³ x 3! 1 27 x 5³ x 3! 1 3² x 53 1 2³ x 35 x 7! x 7! 1 23 x 75 x 3!
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