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:

Evolutionary Approach

A perspective in various disciplines, including psychology and biology, that seeks to explain traits, behaviors, and strategies as adaptations that have evolved to solve reproductive and survival problems.

Drive-Reduction Approach

A theory in psychology that posits behavior is motivated by the desire to reduce internal tension caused by unmet biological needs, such as hunger or thirst.

Environmental Cues

External signals or stimuli that can affect behavior, emotions, or thoughts, influencing decision-making or actions based on the current context or situation.

Biological Approach

A perspective in psychology that examines behavior and mental processes through a focus on physical and biological processes, including genetics and neurochemistry.