A test has three parts. Part A consists of nine 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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A test has three parts. Part A consists of nine 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) = 
1
92 ✕ 53 ✕ 3!
P(E) = 
1
32 ✕ 53 ✕ 9!
    
P(E) = 
1
23 ✕ 95 ✕ 3!
P(E) = 
1
23 ✕ 35 ✕ 9!
P(E) = 
1
29 ✕ 53 ✕ 3! 
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