Multiple-Choice Questions on a Test Each Have 6 Possible Answers

question 19

Essay

Multiple-choice questions on a test each have 6 possible answers, one of which is correct. Assume that you guess the answers to 4 such questions.
A) Use the multiplication rule to find the probability that the first two guesses are wrong and the third and fourth guesses are correct. That is, find P(WWCC), 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 2 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 2 correct answers when 4 guesses are made?

• A) Use the multiplication rule to find the probability that the first two guesses are wrong and the third and fourth guesses are correct. That is, find P(WWCC), 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 2 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 2 correct answers when 4 guesses are made?

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Definitions:

Articles Of Partnership

A document that specifies the rights and responsibilities of the partners in a business partnership.

Equal Participation

The principle that all members or parties should have the same opportunity to contribute and influence a process or decision.

Personal Liability

The legal responsibility of an individual to settle debts or obligations from their personal assets.

Honest Mistake

An unintentional act or omission that occurs despite a person or entity's attempt to act with care or within the legal boundaries.