A class is taking a multiple choice exam. There are 77 questions and 55 possible answers for each question where exactly one answer is correct. How many different ways are there to answer all the questions on the exam?    Use the information above and below to determine the probabilities. Enter your answers as percents rounded to four decimal places. A student who didn't study randomly guessed on each question. a) What is the probability the student got all of the answers correct?    % b) What is the probability the student got all of the answers wrong?    % c) What is the probability the student got questions 11 and 55 correct and the rest of the answers wrong?

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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A class is taking a multiple choice exam. There are 77 questions and 55 possible answers for each question where exactly one answer is correct.

How many different ways are there to answer all the questions on the exam?

  
Use the information above and below to determine the probabilities. Enter your answers as percents rounded to four decimal places.
A student who didn't study randomly guessed on each question.

a) What is the probability the student got all of the answers correct?

   %

b) What is the probability the student got all of the answers wrong?

   %

c) What is the probability the student got questions 11 and 55 correct and the rest of the answers wrong?

   %
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