SOLUTION: A quiz contains 2 multiple-choice questions with five possible answers each, only one of
which is correct. A student plans to guess the answers.
Part A. What is the sample space?
Algebra ->
Probability-and-statistics
-> SOLUTION: A quiz contains 2 multiple-choice questions with five possible answers each, only one of
which is correct. A student plans to guess the answers.
Part A. What is the sample space?
Log On
Question 1200980: A quiz contains 2 multiple-choice questions with five possible answers each, only one of
which is correct. A student plans to guess the answers.
Part A. What is the sample space?
Part B. What is the probability the student guesses wrong answers for both questions?
Part C. What is the probability the students guesses the correct answers for both
questions?
Part D. What is the probability the student guesses at least one correct answer. Answer by ikleyn(52802) (Show Source):
(A) The sample space consists of 4 possible events
(guessed 1st answer; guessed 2nd answer)
(guessed 1st answer; not guessed 2nd answer)
(not guessed 1st answer; guessed 2nd answer)
(not guessed 1st answer; not guessed 2nd answer)
(B) This probability is = .
(C) This probability is = .
(D) "At least one answer correct" is the complement to "no one answer is correct".
The probability "no one answer is correct" is what we computed in (B): this probability is .
Hence, the answer to (D) is 1 - = .
