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

question 58

Essay

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:

Molding Department

A specific section within a manufacturing facility where the process of shaping materials into desired forms through various molding techniques occurs.

Weighted-Average Method

An inventory costing method that calculates the cost of goods sold and ending inventory based on a weighted average of the costs.

Materials Cost

Refers to the expense incurred in acquiring the raw materials used in the production of goods or services, excluding labor and indirect costs.

Molding Department

A specialized department within a manufacturing facility where the molding of materials into desired shapes takes place.