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:

DIMM

Dual In-line Memory Module, a series of random-access memory modules that provide a computer's processor with the temporary data storage it needs to operate.

Physical RAM

Refers to the actual hardware memory modules installed in a computer used to temporarily store data for quick access by the processor.

Memory Storage

Devices or media used to store digital data, such as SSDs, HDDs, and memory cards.

Registered Memory

Memory modules that have extra chips (registers) near the bottom of the module that delay all data transfers by one clock tick to ensure accuracy.