7
practice testMultiple Choice

Practice Test

Question 7 • Mathematics III

Laila guesses on all 20 questions of a multiple-choice test. Each question has 4 answer choices. What is the probability of a success and a failure for this experiment?

Answer
A
cap p times success is equal to 3 fourths ; cap p times failure is equal to 1 fourth
B
cap p times success is equal to 1 ; cap p times failure is equal to 0
C
cap p times success is equal to 1 fourth ; cap p times failure is equal to 3 fourths
D
cap p times success is equal to 1 fourth ; cap p times failure is equal to 1 half

Explanation

For each question, success means guessing the correct answer. With 4 choices and 1 correct answer, the probability of success is 1/4. Failure means choosing one of the 3 incorrect answers, so its probability is 3/4. Therefore, choice C gives the probabilities of success and failure.

AI-written and checked against the verified answer.

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