Multiple-Choice Questions on a Test Each Have 4 Possible Answers

question 83

Essay

Multiple-choice questions on a test each have 4 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?

• 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:

Identity

The qualities, beliefs, personality, looks, and expressions that make a person or group distinctive.

Informal Leadership

Leadership that emerges within a group without formal recognition, often based on personal qualities and respect among peers.

Influential

Having great influence on someone or something.

Implicit Followership Theories

Are preconceived notions about prototypical and antiprototypical followership behaviors and characteristics.