An exam consists of 25 multiple-choice questions and each question is worth 1 point.    10 of these questions each present 5 answer options to choose from, only one of which is the correct answer.   6 other questions each present 3 answer options to choose from, only one of which is the correct answer.   Of the remaining questions, each present 2 answer options to choose from, only one of which is the correct answer.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 16PT: In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18...
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An exam consists of 25 multiple-choice questions and each question is worth 1 point. 

 

  • 10 of these questions each present 5 answer options to choose from, only one of which is the correct answer.

 

  • 6 other questions each present 3 answer options to choose from, only one of which is the correct answer.

 

  • Of the remaining questions, each present 2 answer options to choose from, only one of which is the correct answer.

 

How many correct answers would be expected if the exam were taken by an unprepared student who picked at random from among the answer options on every question?

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