To complete school you have to take standardized tests. Sometimes these multiple choice tests discourage guessing by subtracting points for wrong answers. In particular, a correct answer will be +1 and incorrect answer on a question with five listed answers (a through e) will be worth -1/4 point.  (a) find the expected value for a random guess (B) find the expected value of eliminating one answer and guessing among the four remaining possible answers. (Enter an exact number as an integer, fraction or decimal) (c) find the expected value of eliminating three answers and guessing between the two remaining  possible answers. (Enter an exact number as an integer, fraction of decimal.)

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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To complete school you have to take standardized tests. Sometimes these multiple choice tests discourage guessing by subtracting points for wrong answers. In particular, a correct answer will be +1 and incorrect answer on a question with five listed answers (a through e) will be worth -1/4 point. 

(a) find the expected value for a random guess

(B) find the expected value of eliminating one answer and guessing among the four remaining possible answers. (Enter an exact number as an integer, fraction or decimal)

(c) find the expected value of eliminating three answers and guessing between the two remaining  possible answers. (Enter an exact number as an integer, fraction of decimal.) 

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Consider a multiple choice exam with 5 choices with a correct answer worth +1 points and wrong answer worth -1/4 point

 

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