Multiple-Choice Questions on a Test Each Have 4 Possible Answers

question 83

Essay

Multiple-choice questions on a test each have 4 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?

• 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:

Nonmaterial

Relating to intangible elements, such as thoughts, culture, values, and beliefs, rather than physical or material aspects.

Social Change

The alteration of social structures, patterns of behavior, and cultural norms over time.

Informal Social Movements

Unofficial collective efforts by people to achieve a common goal, typically aimed at social change, which are less structured than formal organizations.

Privatize

The transfer of a business, industry, or service from public to private ownership and control.