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Multiple-Choice Questions on a Test Each Have 5 Possible Answers

question 58

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Multiple-choice questions on a test each have 5 possible answers, one of which is correct. Assume that you guess the answers to 5 such questions.
a. Use the multiplication rule to find the probability that the first 2 guesses are wrong and the
last 3 guesses are correct. That is, find P(WWCCC), where C denotes a correct answer and
W denotes a wrong answer.
b. Make a complete list of the different possible arrangements of 2 wrong answers and 3
correct answers, then find the probability for each entry in the list.
c. Based on the preceding results, what is the probability of getting exactly 3 correct
answers when 5 guesses are made?

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Definitions:

Clustering Hierarchy

A method of organizing elements into nested groups based on similarity or distance.

Flashbulb Memories

Highly detailed, exceptionally vivid 'snapshot' of the moment and circumstances in which a piece of surprising and consequential (or emotionally arousing) news was heard.

Gradual Over Time

Refers to slow and steady changes or developments that happen progressively over a period.

Vulnerable

Refers to the state of being open to harm, damage, or attack either physically, emotionally, or psychologically.

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