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:

Life Expectancy

The average number of years an individual is expected to live, based on statistical averages, taking into account factors like current age, gender, and health conditions.

Chronic Illnesses

Long-standing, persistent health conditions that typically require ongoing medical attention or limit activities of daily living.

Diabetes

A chronic metabolic disease characterized by high blood sugar levels, resulting from either insufficient insulin production or the body's inability to effectively use insulin.

Health Factors

Elements or conditions that influence an individual's health status, including lifestyle choices, environmental conditions, and genetics.