Maria is taking a multiple-choice test with 5 options for each question, and 3 marks for each correct answer. The test is negatively marked, which means she is deducted points for each answer she gets wrong. She will not be deducted any marks if she does not attempt the question. Maria is trying to figure out if it is beneficial to guess the answer to a question once she has narrowed down the number of potentially correct answers. Assume that once Maria has narrowed down the questions, all remaining answers are equally likely to be correct from Maria’s point of view. A guess is worthwhile if it is a better option than not attempting the question. Question On the first question, Maria will lose 1 mark if she is incorrect. What is the minimum number of answers Maria will need to eliminate for a guess to be worthwhile?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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Maria is taking a multiple-choice test with 5 options for each question, and 3 marks for each correct answer. The test is negatively marked, which means she is deducted points for each answer she gets wrong. She will not be deducted any marks if she does not attempt the question. Maria is trying to figure out if it is beneficial to guess the answer to a question once she has narrowed down the number of potentially correct answers. Assume that once Maria has narrowed down the questions, all remaining answers are equally likely to be correct from Maria’s point of view. A guess is worthwhile if it is a better option than not attempting the question.

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On the first question, Maria will lose 1 mark if she is incorrect. What is the minimum number of answers Maria will need to eliminate for a guess to be worthwhile?
 
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