Your Finite Math Teacher Gives a Three Question Multiple Choice

question 31

Short Answer

Your Finite Math teacher gives a three question multiple choice test to her class. Unfortunately you
spent the weekend skiing, so you randomly guess on each question. If there are four choices (A, B, C,
and D) for each question, then what is the probability that you answer exactly one question correctly?
Give your answer as a fraction in reduced form.

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Definitions:

Functional Fixedness

An intellectual prejudice that prevents a person from considering unconventional uses for an object, thereby limiting creative problem-solving capabilities.

Creative Solution

An innovative and effective response or method developed to address a problem or challenge.

Functional Fixedness

A cognitive bias that limits a person to use an object only in the way it is traditionally used, which can inhibit problem-solving and creativity.

Makeshift Nutcracker

An improvised tool or device used to crack nuts, fashioned from materials at hand when a traditional nutcracker is not available.