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Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

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BuyFindarrow_forward

Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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A student taking a multiple-chuice exam does not know the answer to two questions- All have five choices for the answer For one of the two questions, the student can eliminate two answer choices as incorrect but has no idea about the other answer choices. For the other question, the student has no clue about the correct answer at all. Assume that whether the student chooses the cor-red answer on one of the questions does not affect whether the student chooses the correct answer on the other question.
a.What is the probability that the student will answer both questions correctly?
b.W hat is the probability that the sludent will answer exactly one of the questions correctly?
c What is the probubtility that the student will answer neither question correctly ?

To determine

To find out the probability that the student answers both the questions correctly.

Explanation

Given information:

All questions have five choices for the answer. For one of the two questions the student can eliminate two answer choices as incorrect but has no idea about the other answer choices.

Calculation:

According to the given information the following things can be written

A=event that student answers the question after eliminating two choicesP(A)=13A=event that student answers the question with f

To determine

To find out the probability that the student answers exactly one of the questions correctly.

To determine

To find out the probability that the student answers neither of the questions correctly.

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